Management

Professors. Michael G. Kolchin, D.B.A. (Indiana) C.P.M.; Susan A. Sherer, Ph.D. (Pennsylvania), Kenan Professor of Information Technology Management, chair.

Associate professors. Catherine Ridings, Ph.D. (Drexel); Michael D. Santoro, Ph.D. (Rutgers); Theodore W. Schlie, Ph.D. (Northwestern); Robert J. Trent, Ph.D. (Michigan State).

Assistant professors. Luiba Belkin, Ph.D. (Rutgers); Jill Brown, Ph.D. (Georgia State University); Brian Fugate, Ph.D. (Tennessee); Lin Lin, Ph.D. (Arizona); Teresa McCarthy, Ph.D. (Tennessee); Robert C. Giambatista, Ph.D. (Wisconsin); Qingjiu Tao, Ph.D. (Pittsburgh); Yuliang Yao, Ph.D. (Maryland).

Adjunct professors. Sandra Holsonbach, Ph.D. (Lehigh); Dennis Praedin, B.A. (Muhlenberg)

Professors of practice. Dale F. Falcinelli, M.B.A. (Lehigh); Graham Mitchell, Ph.D. (Westminster)

Active emeriti. Richard W. Barsness, Ph.D. (Minnesota)

The Management major introduces management practices to students who may desire to work in management consulting (with specialties in supply chain processes or systems management), human resource management, and small businesses or non profit organizations. There are four distinct tracks to the major.

• Managing People: This track prepares students to work as human resource professionals or in management consulting organizations or to broaden their interpersonal skills.
• Systems Management Consulting: This track prepares students to work as management consultants with a focus on information systems projects.
• Supply Chain Process Management: This track prepares students to work as management consultants with a special emphasis on supply chain projects.
• Small Business and Non Profit Management: This track prepares students specifically to work in small businesses including family owned businesses, non-profit organizations, startups, and in rapid growth environments.

The management major is comprised of 5 courses (15 credits). All management majors will be required to take an Organizational Dynamics Workshop as well as a capstone Project Management course. Additionally each track will require 3 additional courses as indicated below.

All Management majors will take the following two courses.

MGT 321. Organizational Dynamics Workshop
MGT 350. Project Management

In addition Management majors will choose one of the following four tracks.

Managing People

MGT 333. Human Resource Management

Plus 2 courses chosen from the following:
PSYC 121. Social Psychology
WS/SSP 128. Race, Gender, Work
ECO 234. Labor-Management Relations
ECO 235. Labor Economics
SCM 328. Pricing Concepts and Negotiation

Systems Management Consulting

BIS 311 Managing Information Systems Analysis and Design
BIS 324 Business Data Management

Plus 1 from the following IS application courses:
BIS 331 Electronic Commerce
BIS 342 e-Business Enterprise Applications

Supply Chain Processes Management

Choose 3 from the following courses:
SCM 328 Pricing Concepts and Negotiation
SCM 342 e-Business Enterprise Applications
SCM 309 Purchasing and Supply Management
SCM 354 Integrated Logistics and Transportation Systems
SCM 340 Demand and Supply Chain Planning

Small Business and Non-Profit Management

Mgt. 311 LUMAC Management Assistance Counseling
Mgt. 306 Decision Making in Small Business and Non-Profits

Plus 1 of the following courses:
SCM 328 Pricing Concepts and Negotiation
FIN 328 Corporate Financial Policy
MGT 333 Human Resource Management
BIS 331 Electronic Commerce
MKT 319 Development and Marketing of New Products

Management Courses

For Advanced Undergraduates and Graduate Students

MGT 186. Supply Chain Operations Management (3)

Introduction to managing global supply chains and operations within the context of an integrated value chain. Topics include purchasing and supplier management, demand forecasting, aggregate planning and inventory management, collaborative planning, forecasting, and replenishment processes, capacity planning, ERP, quality management, distribution, transportation management, service operations logistics, and performance measurement. Prerequisites: Math 21 or 75/76, Eco 145.

MGT 243. Management of Organizations (3)

Introduction to the principles of management and human behavior in organizations. Survey of organizational design structure, strategy, planning, control, human resource management, and project management. Conceptual and applied introduction to organizational behavior topics such as individual differences, perception/judgment/decision-making, motivation, communica-tion, teams/groups, leadership, conflict, ethics, social response-bility, diversity, and culture. Prerequisite: junior standing in the College of Business and Economics.

MGT 280. Management of People and Operations (4)

A total quality management perspective of managing people and operations in today's modern organizations. Lectures, case studies, and exercises. Major project required. Prerequisite: junior standing in the College of Business and Economics.

MGT 301. Business Management Policies (3) fall, spring

Case study of business problems and the formulation of policies, strategies and tactics to resolve those problems from the viewpoint of general management. Long-range goal attainment, policy formulation, and administrative implementation for specific functional areas and the total firm. Includes a simulation. Prerequisite: senior standing in the College of Business and Economics, and completion of the college core.

MGT 306. Decision Making in Small Business and Non Profit Enterprises (3)

Formulation of strategies, policies and decisions unique to family owned businesses, non profit organizations, start up ventures, and organizations experiencing rapid growth. Lectures and case studies. Prerequisites: Fin 125; Mkt 111

MGT 311. LUMAC Management Assistance Counseling (3) fall, spring

A field studies course providing management assistance to small businesses in the Lehigh Valley. Students work in small groups under faculty supervision on a direct basis with owners. Problem solving and experience in applying marketing, accounting, finance, and/or management concepts to business. Prerequisites: junior standing in the College of Business and Economics.

MGT 321. Organizational Dynamics Workshop (3)

Individual and group dynamics explored through role playing, problem solving, group simulations, and case analysis. Topics include decision making, communications, teams, diversity, negotiation, ethics, consensus, conflict, creativity, and leadership. Prerequisite: Mgt. 243 or equivalent or consent of instructor.

MGT 333. Human Resource Management (3)

Analysis and resolution of personnel problems in organizations. Human resource planning, recruitment, selection, orientation, training, appraisal, compensation, and development. Prerequisite: Mgt. 243 or equivalent or consent of instructor.

MGT 350. Project Management (3)

Key processes and tenets of project management including scope, time, cost, quality, human resources, communications, risk, procurement, and integration management. Both technical and behavioral aspects of project management are applied within the context of either IS management, HR management, Supply Chain Process Management, Small Business Management. Topics include: expectations management, change management and consulting engagement management. Introduces both software project monitoring tools and project team collaboration techniques and tools. Prerequisites: completion of all other courses in either BIS or Management major.

MGT 371. Directed Readings (1-3)

Readings in various fields of management designed for the student who has a special interest in some field of management not covered by the regularly scheduled courses. Prerequisite: consent of the department chair. May be repeated.

MGT 372. Special Topics (1-3)

Special problems and issues in management for which no regularly scheduled course work exists. When offered as group study, coverage varies according to interests of instructor and students. Prerequisite: consent of the department chair. May be repeated.

MGT 373. Management Internship (1-3) summer

A sponsoring faculty member shall direct readings, projects, and other assignments including a comprehensive final report in conjunction with an industry-sponsored internship. The work experience itself, whether paid or unpaid, is not the basis for academic credit. Intellectual development in the context of a field study learning experience will be the determining factor in awarding academic credit. This course cannot be used to satisfy requirements of the Management major. Consent of department chair. Prerequisite: junior standing in the College of Business and Economics and Management major declaration.

Course descriptions for the College of Business and Economics graduate courses can be found in this section (Section V) under the heading of Business and Economics Graduate Courses.

Management Science

The management science program is directed toward integrating scientific methods with the functional aspects of organizations by investigating the application of quantitative methodology and systems analysis in the context of decision making, risk analysis, economics and cost analysis, production management, and supply chain logistics. This integration provides the students with a broader perspective toward managerial decision-making in both private enterprise and public administration.

Mid-career professionals and recent graduates with a background in engineering, mathematics, and physical sciences who intend to seek managerial, consulting or systems analyst positions are appropriate candidates. In particular, those candidates who intend to seek positions demanding both technical and management skills find the management science background advantageous in dealing with the complex problems of industrial, commercial, and public service organizations.

The Industrial and Systems Engineering Department administers the management science program. To be admitted to the program a candidate must demonstrate basic competence in calculus, statistics, linear algebra, introductory operations research, accounting, production and economics. A candidate lacking a certain background may be required to take background courses. The minimum program consists of 30 credit hours of course work, of which at least 18 credit hours must be in the 400-level. The ISE graduate faculty coordinator must approve all course work. Upon entering the program, the student must declare an area of concentration listed as follows:

• Operations Research
• Decision and Risk Analysis
• Economics and Cost Analysis
• Production and Operations Management
• Logistics and Supply Chain Management

Each student is required to complete 15 credit hours of core courses, 12 credit hours of courses in the declared area of concentration, and 3-credit hours of approved free elective or completing a management science project. No more than 9 credit hours may be taken from the College of Business and Economics.

Core Courses (at least 15 credit hours)

Note: Students who satisfy one or more of the core requirements from previous coursework (e.g., IE 305/404, 316/426, 339/429) may substitute the core requirement by taking additional courses from his/her declared area of concentration. Up to 9 credit hours may be substituted.

Areas of Concentration (at least 12 credit hours)

Each student must declare an area of concentration. No more than 3 credit hours may be taken outside the declared area of concentration.

*Daytime section only for students without work experience

Approved Free Elective or Management Science Project (3)

Each student is to complete either an approved free elective relevant to the student's career interest, or complete a project through IE 430 Management Science Project. A faculty member must supervise the project.

Manufacturing Systems Engineering

Program director. Keith M. Gardiner, Ph.D. (Manchester, England), professor of industrial and systems engineering.

Program faculty. John P. Coulter, Ph.D. (Delaware), associate professor of mechanical engineering and mechanics; Steven L. Goldman, Ph.D. (Boston), Andrew W. Mellon distinguished professor in the humanities; Mikell P. Groover, Ph.D. (Lehigh), professor of industrial and systems engineering; Parveen P. Gupta, Ph.D. (Penn State), associate professor of accounting; Joseph C. Hartman, Ph.D. (Georgia Institute of Technology), associate professor of industrial and systems engineering; Roger N. Nagel, Ph.D. (Maryland), Harvey Wagner Professor of manufacturing systems engineering; Raymond Pearson, Ph.D. (U. Michigan), associate professor of materials science and engineering; Theodore Schlie, Ph.D. (Northwestern), associate professor of management of technology; George R. Wilson, Ph.D. (Penn State), associate professor of industrial and systems engineering.

The manufacturing systems engineering program develops engineers who can design, install, operate, and modify systems involving materials, processes, equipment, facilities, logistics and people using leading edge technologies. It integrates systems perspectives with interdisciplinary course offerings from Lehigh's colleges of engineering and applied science, and business and economics.

Complete requirements are listed under Interdisciplinary Graduate Study and Research.

Graduate Courses

MSE 362. (IE 362) Logistics and Supply Chain Management (3)

Modeling and analysis of supply chain design, operations, and management. Analytical framework for logistics and supply chains, demand and supply planning, inventory control and warehouse management, transportation, logistics network design, supply chain coordination, and financial factors. Students are expected to complete industry case studies and a comprehensive final project. Prerequisite: IE 220 and IE 251 or equivalent, or instructor approval.

MSE 421. (GBUS 481) Technology, Manufacturing & Competitive Strategy (3)

Interrelationships among advanced manufacturing management, technology and competitive strategy of the firm. Topics to include industry analysis and competitiveness; competitive strategy formulation and implementation; value chain analysis; manufacturing and technology strategy; manufacturing's contribution to competitive advantage in quality, cost, variety and new product availability; segmentation and substitution; vertical integration.

MSE 423. Product Design/Analysis (3)

Integrated approach to design and analysis of products and systems. Principles for robust design and use of computer-aided engineering to model, evaluate, and enhance design. Case studies and design assignments are major components of this course.

MSE 427. (IE 443) Automation and Production Systems

Principles and analysis of manual and automated production systems for discrete parts and products. Cellular manufacturing, flexible manufacturing systems, transfer lines, manual and automated assembly systems, and quality control systems.

MSE 431. Marketing & the Invention to Innovation Process (3)

Organizational issues and decision-making for capital investments in new technologies. The commercialization process is traced from research and development and marketing activities through the implementation phase involving the manufacturing function. Term project is a commercialization plan for a new manufacturing technology.

MSE 433. Technology and the Factory of the Future (3)

Engineering and technological issues affecting future developments in manufacturing. Topics include flexible automation systems, integration of design and production through the factory data network, intelligent machines, the man-machine interface, and the manufacturing management information system.

MSE 438. Agile Organizations & Manufacturing Systems (3)

Analysis of the factors contributing to the success of manufacturing enterprises in an environment characterized by continuous and unpredictable change. Fundamentals of lean production: aspects of systems design, value stream analysis, flow, set-up and cycle time reduction, kaizen, elimination of waste. Fundamentals of agility: global enterprises, virtual organizations, adapting to change, mass customization, manufacturing flexibility, activity-based management.

MSE 446. International Supply Chain Management (3)

Financial and managerial issues. Evaluation, selection, development and management of suppliers; business models, financial reporting strategies, earnings, quality, risk assessment and internal control, team based new product development. Selected readings, case studies, discussions, lectures, group projects, and presentations.

MSE 451. Manufacturing Systems Engineering Project (1-3)

MSE 490. Manufacturing Systems Engineering Thesis (1-6)

MSE 496. Microelectronics Manufacturing Systems & Technologies (3)

Manufacturing engineering in electronics manufacture: crystal growth, doping, thin film deposition technologies and tooling, pattern generation techniques, contamination control, clean room practices, microelectronics assembly and packaging. Examination of systems design and operation issues.

Marketing

Marketing Department Web page: http://www.lehigh.edu/cbemarketing

Professors: K. Sivakumar, Ph.D. (Syracuse), Arthur C. Tauck Jr. Professor of International Marketing and Logistics and Chairperson, Department of Marketing.

Associate Professors: James M. Maskulka, D.B.A. (Kent State).

Assistant Professors: Franklin Carter, Ph.D. (Carnegie Mellon); Deepa Chandrasekaran, Ph.D. (Southern California); Ravindra Chitturi, Ph.D. (Texas); Reetika Gupta, Ph.D. (CUNY); Nevena Koukova, Ph.D. (Maryland).

Professor of Practice: Robert Kuchta, M.S. (New Jersey Institute of Technology).

Adjunct Lecturers: R. Gregory Surovcik, M.B.A. (Lehigh); Beth Gallant, MBA (Columbia).

Marketing is a critical success factor in any business. Marketing is more than just selling or advertising. It is understanding a product. It is focusing on the needs of the consumers. It encompasses new product development, pricing, promotion and distribution considerations. Marketing influences virtually all strategic business plans and decisions and its scope ranges from government and not-for-profit organizations to free enterprise. Marketing plays a major role in the management of any business.

Lehigh's marketing major is a rigorous and highly relevant curriculum of instruction. Students are taught to recognize the strong linkage between theory and practice and to appreciate the need for teamwork, leadership and communication skills. Activities that encourage students to acquire professional-level competency throughout the curriculum include: developing integrated advertising campaigns, designing and implementing marketing research projects, conducting customer analyses, participating in business-to-business negotiation simulations as well as a wide variety of practice-based projects.

Students are encouraged to explore the potential enhancement of their educational experience through study abroad programs, internships with business, and research projects with faculty members.

Participation in the Marketing Club student organization is an extracurricular activity that offers a professional orientation program and the enjoyment of socializing with other students from across the campus.

The marketing major offered by the Department of Management and Marketing consists of 18 credit hours from the following courses:

Required courses

Elective courses

Two courses (6 credit hours) from the following list of courses, and one additional marketing elective course (3) required, either from the following, or any course approved by the academic advisor.

Undergraduate Courses

MKT 111. Principles of Marketing (3)

The purpose of this course is to give an overview of the entire marketing function. The objective is to take a broad-based approach to expose students to the meaning of marketing, the terminology of marketing, the activities involved in marketing, how managers make and implement decisions in marketing, and how they evaluate the results. The role of marketing in the broader society will also be discussed. At the end of this course, students will be able to understand the meaning of the marketing concept, various marketing terminologies, how firms develop and evaluate marketing strategies related to product, place, price, and promotions, how marketing strategies are related to other strategies of the firm, and what internal and external factors influence the marketing decisions. The outcome of the course will be assessed by a series of multiple choice and short essay questions, and other suitable assignments decided by the instructor. Prerequisite: ECO 1.

MKT 311. Consumer Behavior (3)

This course focuses on the theory and tools necessary to analyze and understand consumer buyers and business buyers, as well as other organizational and governmental buyers, in the context of the global information age. The topics covered include, but are not limited to, diffusion of innovations; market segmentation and product positioning; the multiattribute model and the theory of reasoned action; group and individual decision making processes of buyers; and buyer conditioning and learning processes. Throughout the course, the relevance of the covered theory and tools will be illustrated by using cutting edge examples of what businesses and consumers are doing today. At the end of this class, students will be able to demonstrate an understanding of the theories and tools of buyer behavior. In addition, they will be able to analyze buyers and develop appropriate marketing strategies. The achievement of course objectives will be measured through the use of examinations, as well as a variety of application level tools, including in-class projects, case analyses, and a term project. Prerequisite: MKT 111 or MKT 211.

MKT 312. Marketing Research (3)

The objective of this course is to offer a managerial approach toward conducting and using research for marketing decisions. The focus will be on the relevance and usefulness of systematic research for decision making, the process and steps involved in conducting effective marketing research, analysis and interpretation of the information for decision making, and the presentation of research results to help managers arrive at sound marketing decisions. Particular emphasis will be placed on the context of technological advances in the collection, dissemination, and use of marketing information, the applicability of marketing research principles for a wide variety of organizations and individuals in the global context, and ethical issues involved in marketing research. At the end of this course, students will have an understanding of the costs and benefits of marketing research, be able to conduct marketing research using a systematic set of procedures, know how to develop research instruments such as questionnaires, have the knowledge to analyze the data, and present the conclusions to other managers. In addition to periodic testing of their knowledge of marketing research by means of examinations (multiple choice, short essay questions, and hands-on problems), the course will involve a marketing research project from problem formulation to presentation of findings. Prerequisites: ECO 145 and MKT 111 or MKT 211.

MKT 313. Integrated Marketing Communications (3)

This course focuses on the wide range of areas included in marketing communications and the tools and techniques needed to create an integrated approach. Students are introduced to the broad spectrum of communication messages and the sources that produce them, and then showed how they can be used for maximum efficiency through a coordinated planning process. Lectures and assignments develop an understanding for the factors found in all integrated marketing communications plans, their interactions, strengths and weaknesses, and their effect on the overall marketing message. The course concludes with the students creating and presenting an integrated marketing communications plan and its supporting tactics. Prerequisite: MKT 111 or MKT 211.

MKT 319. Development and Marketing of New Products (3)

This course adopts the marketing philosophy that new products and services will be profitable if the extended product provides customers with highly valued benefits. The goal is to help students learn how to use state-of-the-art management techniques to identify markets, develop new product ideas, measure customer benefits, and design profitable new products. The course provides techniques to interface the marketing function with the functions of R&D, design engineering, and manufacturing. Prerequisite: MKT 111 or MKT 211.

MKT 320. Global Marketing (3)

This course focuses on understanding the process of globalization and its impact on the firm's marketing activities. Whether an organization operates in the domestic market or in the global market place, it cannot ignore competitive pressures and market opportunities at the global level. This course will focus on topics such as the changes in global environment (e.g., financial, cultural, political, and legal) and their impact on marketing activities, development of global marketing strategies based on sound marketing research (e.g., global segmentation and positioning, global market entry strategies, developing products for the global market place, pricing, communication, and distribution strategies, and so on), and the role of technology in global marketing strategies. Prerequisite: MKT 111 or MKT 211.

MKT 321. Business-to-Business Marketing (3)

This course introduces students to the elements necessary to market a product, service, idea, event, organization, place, information, property, experience, or personality to another business. Students develop the knowledge and thinking skills needed to create, develop, and present a complete, integrated Business-To-Business (B2B) marketing plan. Lecture and assignments focus on B2B marketing, a process that begins with researching the relevant marketplace to understand its dynamics. Students learn how to identify opportunities to meet existing needs, segment the market, and select those segments that a company can satisfy in a superior way. In addition, students learn how to formulate a broad strategy, refine it into a detailed marketing mix and action plan, carry out the plan, evaluate the results, and make further improvements. Prerequisite: MKT 111 or MKT 211.

MKT 325. (ECO 325) Quantitative Marketing Analysis (3)

Explores economics and management science approaches to improve marketing decision making and marketing interactions in such areas as strategic marketing, e-marketing, advertising, pricing, sales force management, sales promotions, new products, and direct marketing. The development, implementation, and use of quantitative models are emphasized. Cases are used to illustrate how these models can be applied. Students have the opportunity to learn how to use and evaluate models through spreadsheet-based assignments. Prerequisites: MKT 211 or MKT 111, ECO 145, ECO 146, and MATH 21, 31, 51.

MKT 331. (BIS 331) Electronic Commerce (3)

This course covers how businesses and consumers use the Internet to exchange information and complete transactions. Both theoretical concepts and practical skills will be addressed within the scope of the class. Topics include advertising, Internet buyer behavior, risks of insecure systems, Internet security standards and protocols, authentication and digital signatures, electronic cash systems, infrastructure issues, privacy issues, intranets, extranets, and overall electronic commerce strategy. Prerequisites: BIS 111. MKT 211 or MKT 111, or consent of the instructor.

MKT 332. Sales Management (3)

This course is an integrative approach to sales management including formulation of strategically sound sales programs, implementation of sales programs, and evaluation and control of the organization's sales activities. Illustrative topics include the role of the sales manager in the divergent demands of multiple constituencies; the development of effective sales organizations; salesperson's motivations and the development of flexible motivational plans; the variety of financial and non-financial rewards used by sales managers; forecasting sales costs and evaluating performance by person, territory, customer, market, and industry; and coordination of the sales activities with other elements in a firm's marketing program. Prerequisite: MKT 111 or MKT 211.

MKT 348. Management of Marketing Channels (3)

This course focuses on the design, elements, and management of marketing channels. For our purposes, a marketing channel is viewed as an interdependent, interorganizational system involved in the task of making goods, services, and concepts available for consumption. The main emphasis of this course is on the initial design of such systems and the on-going management of relationships between system participants. Economic, social, and structural aspects of channels will be analyzed. Illustrative topics include how channel systems should be formed; an investigation of a variety of channel intermediaries, including franchise systems, distributors, retailers, intermediary "market makers," and gray channels; the role of technology in channel relationships; the interpersonal dimensions of channel relationship management such as conflict management, minority issues, and ethics; and sales-force management, including selection, motivation, and compensation. Prerequisite: MKT 111 or MKT 211.

MKT 360. Marketing Practicum (3)

The marketing practicum combines formal classwork on marketing problem formulation and business communications with an intensive internship or consulting engagement with a business. Students work with client firms to develop individual or team projects, which focus on marketing activities such as market research, strategy development, sales management, and promotion management. Upon completion of the project, students submit a written report and make a formal presentation to clients. Prerequisites: MKT 111 or MKT 211, MKT 311 and MKT 312.

MKT 366. Marketing of Services (3)

This course focuses on service quality issues and strategies from a customer-focused business perspective. The course gives students an appreciation of the challenges of marketing and managing services (whether in a manufacturing or service business) and develops strategies for addressing these challenges. The need for integration across functions to provide effective service is stressed. Illustrative topics include service quality gap analysis; services triangle analysis; 7 P's for services; service-profit chain; service encounter analysis; customer lifetime value analysis; new service development process; service quality dimensions; services guarantees; and demand/ capacity management. Prerequisite: MKT 111 or MKT 211.

MKT 371. Directed Readings (1-3)

Readings in various fields of marketing designed for the student who has a special interest in some field of marketing not covered in regularly scheduled courses. Prerequisite: consent of the department chair. May be repeated.

MKT 372. Special Topics (1-3)

Special problems and issues in marketing for which no regularly scheduled course work exists. When offered as group study or internship, coverage will vary according to the interests of the instructor and students. Prerequisite: consent of the department chair. May be repeated.

MKT 373. Marketing Internship (1)

Based on a student's work experience, a sponsoring faculty member shall direct readings, projects, and other assignments-including a "capstone report." It should be noted that the work experience (at least 80 hours), by itself, is not the basis for academic credit. The faculty directed activity must be provided concurrent with the work. Course registration and related arrangements must be made in advance of the work engagement. This course must be taken Pass/Fail and cannot be used to satisfy marketing major requirements. Prerequisites: MKT 111 or MKT 211, declaration of a marketing major, junior standing, and department approval. May be repeated once.

MKT 387. Marketing Strategy (3)

The objective of this capstone course is to synthesize the marketing principles introduced in other marketing courses and thus provide students an integrative framework to marketing decision-making. Our review indicates that this integrative closure for the marketing coursework is a common practice at some of the better business schools. It will focus on how marketing strategy supports the overall corporate strategy. The course will emphasize that Marketing does not operate in vacuum. What is done in other functional areas will impact marketing strategy profoundly, and vice versa. The course will address traditional strategic issues such as identification of organizational strengths, weaknesses and environmental opportunities in the context of developing marketing strategies, but will also emphasize the importance of embracing a customer centric orientation throughout the organization. Incorporating a customer centric orientation is an essential component of marketing strategy today as it captures the dynamic and evolving nature of marketing. Every company employee is important to the marketing function, every employee contact with a customer is a form of marketing communication, the increasing number of customer- initiated contacts with the firm are as important as firm-initiated contacts, and customer relationships now take precedence over sales transactions. Specific emphasis will be placed on applying theoretical principles in realistic scenarios by means of case studies of how marketing strategy is impacted by the overall corporate strategy and other functional strategies. Student performance will be evaluated by his/her ability to prepare and present case analyses. Prerequisite: MKT 311, 312 and senior standing.

Graduate Courses

Course descriptions for the College of Business and Economics graduate courses can be found in this section (Section V) under the heading of Business and Economics Graduate Courses.

Materials Science and Engineering

Professors. G. Slade Cargill, Ph.D. (Harvard), chair and Sherman Fairchild Professor; Charles E. Lyman, Ph.D. (M.I.T.), associate chair; Helen M. Chan, Ph.D. (Imperial College of Science and Technology, England), New Jersey Zinc Professor; John N. DuPont, Ph.D. (Lehigh); Alwyn Eades, Ph.D. (Cambridge); Martin P. Harmer, Ph.D. (Leeds, England), Alcoa Professor, director of Center for Advanced Materials and Nanotechnology; Himanshu Jain, ENGR. Sci. D. (Columbia), Diamond Chair; Chris Kiely, Ph.D. (Bristol); Wojciech Misiolek, Sc.D (U. of Mining and Metallurgy, Krakow, Poland), Loewy Chair; Raymond A. Pearson, Ph.D. (Michigan); Jeffrey M. Rickman, Ph.D. (Carnegie-Mellon)

Associate Professors. Richard P. Vinci, Ph.D. (Stanford).

Adjunct Professors. Walter L. Brown, Ph.D. (Harvard); Richard W. Hertzberg, Ph.D. (Lehigh); Michael R. Notis, Ph.D. (Lehigh); Walter J. Shakespeare, Ph.D. (Lehigh); S. Kenneth Tarby, Ph.D. (Carnegie-Mellon); William H. Van Geertruyden, Ph.D. (Lehigh).

Emeritus Professors. Betzalel Avitzur, Ph.D. (Michigan); Sidney R. Butler, Ph.D. (Penn State); Ye T. Chou, Ph.D. (Carnegie Mellon); Richard W. Hertzberg, Ph.D. (Lehigh); Ralph J. Jaccodine, Ph.D. (Notre Dame); Arnold R. Marder, Ph.D. (Lehigh); Michael R. Notis, Ph.D. (Lehigh); Alan W. Pense, Ph.D. (Lehigh); Donald M. Smyth, Ph.D. (M.I.T); Leslie H. Sperling, Ph.D. (Duke); Robert D. Stout, Ph.D. (Lehigh); S. Kenneth Tarby, Ph.D. (Carnegie-Mellon); David A. Thomas, Sc.D. (M.I.T.); John D. Wood, Ph.D. (Lehigh).

Research engineers and scientists. David W. Ackland; Arlan O. Benscoter.

As science and technology advance in the 21^st century, progress in many fields will depend on the discovery and development of new materials, processed in more complex ways, and with new kinds of properties. It is widely recognized that the progress of history has been divided into periods characterized by the materials that mankind has used, e.g., the stone age, the bronze age, the iron age. Today, materials science and engineering is critical to all other fields of engineering, and advances in other fields are often limited by advances in materials.

Interest in new materials for solid-state devices, space technology, and superconductivity, as well as a better understanding of the behavior of materials in the design of structures, automobiles and aircraft, plant processing equipment, electrical machinery, etc., have increased the need for people trained in science and technology of materials.

Education for this field of engineering requires basic studies in mathematics, chemistry, physics and mechanics, plus a general background in engineering principles, followed by intensive training in the application these principles to the development and use of materials in a technological society.

B.S. in Materials Science and Engineering

The undergraduate program is designed to train graduates for research, development, operations, management, and sales careers in industry or for graduate study in various specialties of the field, including the manufacture and application of metals, ceramics, polymers, composites, and electronic materials. While some graduates go directly into materials-producing companies, most serve as engineers in the transportation, electronics, chemical communications, space, and other industries. A number of students pursue graduate study leading to careers in research and teaching, medicine, or the law.

Materials Science and Engineering majors have opportunities to gain valuable experience in other, related fields, including other areas of engineering or science, by choosing to concentrate elective courses in one of these areas. Requirements for adding a Minor include at least 15 course credits in that area, which may be taken as technical or free electives in the student's major. It is particularly straightforward for students to obtain a minor in Chemical Engineering, in Manufacturing Engineering, in Nanotechnology, or in Polymer Science and Engineering.

Materials Science and Engineering majors can also participate in undergraduate research at universities in Great Britain and elsewhere during the summer between Junior and Senior years. The Materials Science and Engineering Industrial Option program enables students to gain work experience during the Senior Year. The Materials Science and Engineering Research Option program provides senior undergraduates with research experience.

Five-year programs are available to broaden the Materials Science and Engineering undergraduate experience. One such program is the Arts-Engineering Program, in which students can earn both the Bachelor of Science degree in Materials Science and Engineering and the Bachelor of Arts degree in some area within the College of Arts and Sciences, such as biology, physics, chemistry, or history. Another is the B.S./M.Ed. Program, which leads (in five years of study and internships) to the B.S. degree in Materials Science and Engineering and a masters degree (M.Ed.) in Education, with elementary or secondary teacher certification.

Minor in Materials Science and Engineering

The Department of Materials Science and Engineering offers minors to students majoring in other subjects. The Department is enthusiastic in its support of students who wish to broaden their education by taking a minor. To obtain a minor in Materials Science and Engineering, a student must complete one required course (MAT 33, 3 credits) and four other three-credit courses for a total of 15 credit hours. The four courses may be chosen from a long list of 200 and 300 level courses relevant to various engineering disciplines.

Minor in Nanotechnology

Materials for nanotechnology applications have new properties unavailable in bulk materials. The synthesis, processing, and characterization of these materials require a facility with concepts beyond those needed for typical engineering materials. This minor requires MAT 355 Materials for Nanotechnology (3 credits), a course on crystallography and band theory, and additional electives for a total of 15 credits.

Educational Mission

The Materials Science and Engineering undergraduate program's mission is to provide students an excellent education in a scholarly environment and to provide its graduates the knowledge and experience needed to advance to successful careers.

Educational Objectives

Students will be prepared for success in the career of their choice and, therefore, should:

• be able to define and solve materials-related problems, including design problems, within economic, environmental, and time deadline constraints;
• understand relationships between structure, properties, processing and performance for metals, ceramics, polymers, composites, and electronic materials; be able to extend this knowledge; and be able to apply it in materials analysis development, selection, and design;
• be able to function effectively on problem-solving teams and to coordinate and provide leadership for teams, including multi-disciplinary teams;
• understand and accept professional and ethical responsibilities, including responsibilities for public safety and workplace safety;
• develop skills in writing, speaking, reading, and listening, needed to communicate logically and effectively;
• be knowledgeable and experience in using basic laboratory tools, computers, and databases for materials analysis, development, and selection;
• have a firm base of knowledge in areas of mathematics, physics, and chemistry relevant to materials science and engineering, and be able to apply and extend this knowledge;
• gain background in history, economics, world cultures, and current events to provide a realistic context for their professional activities.

Major Requirements

The recommended sequence of courses is shown below. The standard freshman engineering year is shown in section III. A total of 131 credits or more is required to graduate.

sophomore year, first semester (17 credits)

sophomore year, second semester (18-19 credits)

junior year, first semester (18 credits)

junior year, second semester (18-19 credits)

senior year, first semester (15 credits)

senior year, second semester (16 credits)

* MAT 33 is taught in both the spring and fall semesters

Electives for the sophomore, junior and senior years must be distributed as follows:

Humanities and Social Sciences: 13-15 credit hours. Free Electives: 9 credit hours in any department. Approved Elective (3) and Engineering Science Electives (6 credit hours) must be selected from a specific list supplied by the Materials Science and Engineering Department. The list includes the Industrial Option and the Research Option.

Industrial Option

Research Option

The Industrial Option introduces students to the work of materials engineers in industry. The emphasis is a team approach to the solution of actual plant problems. The courses are conducted in cooperation with local industries. Three days per week are spent at the plant of the cooperating industry on investigations of selected problems. The option is limited to a small group of seniors, selected by the Department from those who apply. Summer employment is provided when possible for those who elect to initiate the program during the summer preceding the senior year.

The Research Option is offered for students interested in research and development. Financial support may be available for students who elect to initiate a research program during the summer preceding the senior year. The option is limited to a small group of students, selected by the Department from those who apply.

Undergraduate Courses

MAT 10. Materials Laboratory (1) fall

Introduction to experimental methods used to fabricate and measure the structure and properties of materials. Thermal and mechanical processing and properties are emphasized. Specimen preparation and examination by light optical microscopy. Prerequisite: MAT 33 previously or concurrently. DuPont

MAT 20. Computational Methods in Materials Science (3) spring

The use of computers and computational methods to solve problems in materials science and engineering. Students will employ both commercial packages and their own code in order to complete assignments. Students will utilize word processing and display packages to present results of projects. Prerequisite: ENGR 1 or equivalent. Rickman

MAT 33. Engineering Materials and Processes (3) fall-spring

Application of physical and chemical principles to understanding, selection, and fabrication of engineering materials. Materials considered include metals, polymers, ceramics, composites and electronic materials. Case studies of materials used range from transportation systems to microelectronic devices. Kiely or Chan and Staff

MAT 101. Professional Development (2) fall

Seminar on the role and purpose of engineering in society; the meaning of being a professional; engineering ethics, communications and decision-making in the engineering process; expectations and problems of young engineers; personal goals; choosing a career. Required reading. Written reports based on library research. Prerequisite: junior standing. Lyman

MAT 107. Special Topics in Materials (1-3)

A study of selected topics in materials science and engineering not covered in other formal courses.

For Advanced Undergraduates and Graduate Students

MAT 201. Physical Properties of Materials (3) fall

Basic concepts of modern physics and quantum mechanics needed for an understanding of electrons in solids. The experimental development leading to wave mechanics is emphasized. Uses of the Schrodinger equation as the basis for the free electron theory of metals and band theory. Optical properties are developed leading to a discussion of lasers. Prerequisites: Phys 21, MAT 33, MATH 205. Jain

MAT 203. Materials Structure at the Nanoscale (3) spring

The structure of metals, ceramics, semiconductors and polymers at the atomic scale. Materials structures at the nanoscale and macroscale. Crystalline, semicrystalline, liquid crystalline, and amorphous (glassy) states. Crystal structures and fundamental aspects of formal crystallography. Point, line, and planar crystal defects. Materials characterization by x-ray diffraction, light and electron microscopy, and other techniques. Prerequisites: CHEM 21; MAT 33 previously or concurrently; MAT 10 or permission of instructor. Eades

MAT 204. Processing and Properties of Polymeric Materials (3) spring

The structure-property relationships in polymers will be developed, emphasizing the glass transition, rubber elasticity, crystallinity, and mechanical behavior. Elements of polymer processing. Extrusion of plastics and films, and fiber spinning operations. Prerequisites: MAT 33. Pearson

MAT 205. Thermodynamics of Macro/Nanoscale Materials (3) spring

The three laws of thermodynamics. Gibbs free energy and conditions of equilibrium. Effects of scale on material behavior. Binary and ternary equilibrium phase diagrams. Application of thermodynamics to materials problems, with examples from nanotechnology, biotechnology, and structural materials. Prerequisites: MATH 23 and MAT 33, previously or concurrently. Vinci

MAT 206. Processing and Properties of Metals (3) spring

The production and purification of metals, their fabrication, and control of their properties. Includes topics such as precipitation hardening, hot and cold working, and casting. Prerequisite: MAT 216, MAT 218. Misiolek

MAT 214. Processing and Properties of Ceramic Materials (3) spring

General overview of the compositions, properties and applications of ceramic materials. The theory and practice of fabrication methods for ceramics and glasses. Methods of characterization. Selected properties of ceramic materials. Prerequisites: MAT 33. Harmer

MAT 216. Diffusion and Phase Transformations (3) fall

Fundamental diffusion equations; liquid-solid transformations; solid-solid transformations; transformation kinetics; metastable transformations; diffusionless transformations; examples of various transformations in different materials and their effect on properties. Prerequisites: MAT 203, MAT 205. DuPont

MAT 218. Mechanical Behavior of Macro/Nanoscale Materials (3) fall

Elasticity, plasticity, and fracture of metals, ceramics, polymers, and composites. The roles of defects and size scale on mechanical response. Strengthening and toughening mechanisms in solids. Statis cnad time-dependent failures from microstructural and fracture mechanics viewpoints. Lectures and laboratories. Prerequisites: MECH 3, MAT 33; MAT 10 or permission of instructor. Vinci

MAT 221. (STS 221) Materials in the Development of Man (3) fall

Development of materials technology and engineering from the stone age to atomic age as an example of the interaction between technology and society. In-class demonstration laboratories on composition and structure of materials. Term projects using archaeological materials and alloys. Course intended for, but not limited to, students in the humanities and secondary science education. Engineering students may not use this course for engineering science or technical elective credit.

MAT 240. Research Techniques (3) fall

Study and application of research techniques in materials science and engineering. Research opportunities, design of experimental programs, analysis of data, presentation of results. Selection of research topic and preparation and defense of research proposal. Restricted to a small number of students selected by the department from those who apply.

MAT 291. Undergraduate Research (3) spring

Application of research techniques to a project in materials science and engineering selected in consultation with the faculty. Normally preceded by MAT 240.

MAT 302. Electronic Properties of Materials (3) fall

The electronic structure of materials, i.e., band and zone theory, is presented from a physical point of view. Electrical conductivity in metals, semiconductors, insulators and superconductors is discussed. Simple semiconductor devices reviewed. Magnetic properties are examined in the context of domain theory and applications are discussed. Optical and dielectric properties of semiconductors and ferroelectrics are considered. Prerequisites: MAT 201, MAT 203. Eades

MAT 309. Composite Materials (3)

The principles and technology of composite materials. Processing, properties, and structural applications of composites, with emphasis on fiber-reinforced polymers. Lectures and some field trips or laboratories. Prerequisite: MAT 33 or equivalent, MECH 3. Pearson

MAT 310. Independent Study in Materials (1-3)

Provides an opportunity for advanced, independent study of selected topics in materials science and engineering not covered in other formal courses.

MAT 312. (CHE 312, CHEM 312) Fundamentals of Corrosion (3)

Corrosion phenomena and definitions. Electrochemical aspects including reaction mechanisms, thermodynamics, Pourbaix diagrams, kinetics of corrosion processes, polarization, and passivity. Non-electrochemical corrosion including mechanisms, theories, and quantitative descriptions of atmospheric corrosion. Corrosion of metals under stress. Cathodic and anodic protection, coatings, alloys, inhibitors, and passivators. Prerequisite: MAT 205, CHEM 187, or equivalent of either.

MAT 314. Metal Forming Processes (3)

Mechanical metallurgy and mechanics of metal forming processes. Yield criteria. Workability. Friction and lubrication. Engineering analysis of forging, extrusion, wire and tube drawing, rolling, sheet forming and other processes. Recent developments in metal forming. Prerequisite: MAT 206 or consent of instructor. Misiolek

MAT 315. Physical Properties of Structural and Electronic Ceramics (3)

Structure-property relationships in ceramics. Mechanical behavior including plasticity, hardness, elasticity, strength and toughening mechanisms. Thermal behavior including specific heat, thermal expansion, thermal conduction and thermal shock. Electrical behavior including application of tensors and crystal physics to electroceramics. Prerequisites: MAT 214 or consent of instructor. Harmer

MAT 317. Imperfections in Crystals (3)

The major types of crystal defects and their role in controlling the properties of materials. Point, line and planar defects, their atomic configurations and experimental techniques to study their characteristics. Emphasis on the role of dislocations and grain boundaries in the control of mechanical properties. Prerequisite: MAT 203 or consent of instructor. Rickman

MAT 319. Current Topics in Materials Science (3)

Selected topics of current interest in the field of materials engineering but not covered in the regular courses. May be repeated for credit with consent of the department chair. Prerequisite: Consent of department chair.

MAT 320. Analytical Methods in Materials Science (3)

Selected topics in modern analysis and their application to materials problems in such areas as thermodynamics, crystallography, deformation and fracture, diffusion. Prerequisite: MATH 231 or 205. Rickman

MAT 327. Industrial Project (4)

Restricted to a small group of seniors and graduate students selected by the department from those who apply. Three full days per week are spent on development projects at the plant of an area industry, under the direction of a plant engineer and with faculty supervision. Misiolek

MAT 329. Industrial Project (4)

To be taken concurrently with MAT 327. Course material is the same as MAT 327. Misiolek

MAT 333. (EES 337, CHM 337) Crystallography and Diffraction (3)

Introduction to crystal symmetry, point groups, and space groups. Emphasis on materials characterization by x-ray diffraction and electron diffraction. Specific topics include crystallographic notation, stereographic projections, orientation of single crystal, textures, phase identification, quantitative analysis, stress measurement, electron diffraction, ring and spot patterns, convergent beam electron diffraction (CBED), and space group determination. Applications in mineralogy, metallurgy, ceramics, microelectronics, polymers, and catalysts. Lectures and laboratory work. Prerequisites: MAT 203 or EES 133 or senior standing in chemistry. Cargill

MAT 334. (EES 338, CHE 334) Electron Microscopy and Microanalysis (4) fall

Fundamentals and experimental methods in electron optical techniques including scanning electron microscopy (SEM), conventional transmission (TEM) and scanning transmission (STEM) electron microscopy. Specific topics covered will include electron optics, electron beam interactions with solids, electron diffraction and chemical microanalysis. Applications to the study of the structure of materials are given. Prerequisite: consent of the department chair. Lyman and Kiely

MAT 335. (CHE 335) Principles of Semiconductor Materials Processing (3)

Description and analysis of the processing steps involved in microelectronic material fabrication. Emphasis will be placed on the chemistry of the fabrication steps, mathematical modeling of the transport and chemical reaction phenomena, and interpretation of experimental methods and data. Prerequisite: a course in thermodynamics and senior standing.

MAT 338. Failure Analysis Reports (3) spring

Application of chemical and mechanical failure concepts, microstructural analysis, and fracture surface characterization to the analysis and prevention of engineering component failures. Conduct laboratory investigations on component failures with written and oral presentations of the results. Prerequisites: Senior standing and MAT 204, MAT 206, MAT 210, MAT 214, and MAT 302.

MAT 339. Light Metals (3)

Designing mechanical properties of light metals such as aluminum, beryllium, magnesium and titanium through alloying and processing. In depth analysis of strengthening mechanisms and resulting physical properties. Review of typical casting, deformation, powder metallurgy and machining processes applied to these materials. Recent commercial applications in the construction, packaging, aerospace and automotive industries. Prerequisite: MAT 206 or consent of the instructor. Misiolek

MAT 342. Inorganic Glasses (3)

Definition, formation and structure of glass; common glass systems; manufacturing processes; optical, mechanical, electrical and dielectric properties; chemical durability; glass fibers and glass ceramics. Lectures and laboratories. Prerequisite: MAT 33. Jain

MAT 344. (IE 344) Metal Machining Analysis (3) spring

Intensive study of metal cutting emphasizing forces, energy, temperature, tool materials, tool life, and surface integrity. Abrasive processes. Laboratory and project work. Prerequisite: IE 115 or ME 240 or MAT 206. Misiolek

MAT 345. Powder Metallurgy (3)

Metal powder fabrication and characterization methods. Powder processing including powder compaction, theory of compacting, press and die design, sintering, and hot consolidation. Microstructure and properties of sintered materials and their relationship to processing conditions. Industrial applications. Emerging powder metallurgy technologies. Prerequisite: MAT 206 or consent of instructor. Misiolek

MAT 346. Physical Metallurgy of Welding (3)

Operational characteristics of welding processes. Application of solidification and solid state transformation theory to understanding microstructural development in welds, and influence of welding on properties. Metallurgical defects in welds. Computational techniques for predicting heat flow and phase transformations in welds of complex engineering alloys. Laboratory demonstrations. Prerequisites: MAT 216. DuPont

MAT 348. Materials Science for Electronic Applications (3)

Materials technology for integrated circuit packaging systems. Dielectric, thermal and mechanical considerations; joining methods; resistor and ceramic capacitor materials and incorporation of active devices into packaging systems; multilayer package design and processing. Individualized semester project involving forensic examination of failures using scanning electron microscopy and microprobe analysis. Prerequisite: MAT 201, and MAT 33.

MAT 355. Materials for Nanotechnology (3)

An introduction to the nanoworld and how we observe the nanoworld through transmission electron microscopy. Other topics include: probing nanosurfaces, carbon as a nanomaterial, fullerenes, carbon nanotubes, metal clusters, metal nanoparticle preparation, and directed self-assembly of nanoparticles. Aslo discussed are the thermal, chemical, electronic, optical, and magnetic properties of metal nanoparticles, nanowires, semiconductor nanoparticles, and inorganic nanoparticles. Kiely

MAT 356. Strategies for Nanocharacterization (3)

Lectures describe various nanocharacterization techniques in terms of which technique is best for specific measurements on nanostructures less than 100 nm in extent. Special attention is paid to spatial resolution and detection limits for SEM, TEM, X-ray analysis, diffraction analysis, ion beam techniques, surface techniques, AFM and other SPMs, and light microscopies and spectroscopies. Eades and Lyman

MAT 359. Thin Film Processing and Mechanical Behavior (3)

Metallic, ceramic and glassy films, with thickness less than approximately 1 µm, formed by gas phase deposition. Thin film applications, vacuum fundamentals, PVD and CVD, models for general thin film growth, epitaxial growth, sources of stress, deformation mechanisms, and mechanical characterization techniques such as substrate curvature and nanoindentation. Prerequisite: MAT 33. Also recommended, but not required, is some experience with mechanics of materials. Vinci

MAT 367. (CHE 367) Metal Films and Coatings: Processing, Structure, and Properties (3)

Focus will be on the processing, structure, and properties of metal films and coatings. Processing methods will include evaporation, sputtering, chemical vapor deposition (CVD), plasma-assisted CVD, ion implantation, electrodeposition, metal bath solidification, weld overlay, thermal spraying, and diffusion. Characterization of thin films and coatings will be done with the use of sophisticated analytical instrumentation, including spectroscopic methods, microscopy and diffraction techniques. Characterization methods are explored in conjunction with processing techniques and film/coating properties via class assignments that are designed to introduce students to the archival scientific literature. Prerequisite: Senior standing in Chemical Engineering or Materials Science and Engineering, or permission of the instructor(s).

MAT 388. (CHE 388, CHM 388) Polymer Synthesis and Characterization Laboratory (3)

Techniques include: free radical and condensation polymerization; molecular weight distribution by gel chromatography; crystallinity and order by differential scanning calorimetry; pyrolysis and gas chromatography; dynamic mechanical and dielectric behavior; morphology and microscopy; surface properties. Prerequisite: Senior level standing in chemical engineering, chemistry, or materials science and engineering, or permission of the instructor.

MAT 393. (CHE 393, CHM 393) Physical Polymer Science (3)

Structural and physical aspects of polymers (organic, inorganic, natural). Molecular and atomic basis for polymer properties and behavior. Characteristics of glassy, crystalline states (including viscoelastic and relaxation behavior) for single-/ and multi-component systems. Thermodynamics and kinetics of transition phenomena. Structure, morphology and behavior. Prerequisite: Senior level standing in Chemical Engineering, Chemistry, or Materials Science and Engineering, or permission of the instructor.

MAT 396. (CHEM 396) Chemistry of Nonmetallic Solids (3)

Chemistry of ionic and electronic defects in nonmetallic solids and their influence on chemical and physical properties. Intrinsic and impurity-controlled defects, nonstoichiometric compounds, defect interactions. Properties to be discussed include: diffusion, sintering, ionic and electronic conductivity, solid-state reactions, and photoconductivity. Prerequisite: CHEM 187 or MAT 205 or equivalent.

For Graduate Students

The department offers graduate degrees in Materials Science and Engineering at both masters (M.S. and M. Eng.) and doctoral levels (Ph.D.). Specialized masters degree programs are also available, in Photonics, in Polymers, and in Business Administration and Engineering (MBA&E). The M.S. Degree in Photonics is an interdisciplinary degree for broad training in such topics as fiber optics, lightwave communications, and optical materials, to prepare students for work in industry or for further graduate research at the Ph.D. level. The program requires a total of 30 credits of graduate work, including a 15-credit core of courses in materials, electrical engineering, and physics. The Polymer Science and Engineering Program offers interdisciplinary M.S. and Ph.D. degrees through several departments, including Materials Science and Engineering. The program includes courses in materials, chemical engineering, chemistry, physics, and mechanical engineering. The MBA&E is an interdisciplinary degree program in business and engineering designed primarily for students with an undergraduate degree in engineering and two years or more of relevant work experience. The curriculum consists of an MBA core and electives (23 credits) and engineering core and electives (18 credits), plus other electives and a project which integrates business and engineering (4 credits). Students wishing to have the engineering core in Materials Science and Engineering may enter this program through the Materials Science and Engineering Department.

Special Programs and Opportunities

The department has established specific recommended programs for the M.S., the M.Eng., and the Ph.D., emphasizing the following areas: metals processing and performance, ceramics and glass processing and properties, electronic and photonic materials and packaging, electron microscopy and microstructural characterization, and archaeometallurgy.

These programs are flexible and often interdisciplinary.

Major Requirements

The requirements are explained in section IV. A candidate for the M.S. completes a thesis, unless fully funded by industry, in which case a thesis is not required. M.S. thesis research normally represents six of the 30 semester hours required for this degree. Candidates for the M.Eng. complete a three-credit engineering project.

A candidate for the Ph.D. prepares a preliminary program of courses and research, providing for specialization in some field (largely through research) in consultation with the adviser. Prior to formal establishment of the doctoral program by the special committee and its approval by the college, the student passes a qualifying examination that must be taken in the first or second year of doctoral work. The department does not require a foreign language. It does require preparation and defense of a research proposal as a portion of the general examination.

Of the courses listed above only those in the 300 series are available for graduate credit. There are many additional offerings in materials under the listings of other departments.

Most graduate students receive some form of financial aid. Several kinds of fellowships and assistantships are available. This type of aid generally provides for tuition, and a stipend. For details of graduate scholarships, fellowships and assistantships, please refer to section IV.

Research Activities

Graduate students conduct their research in facilities located in the Department or the Center for Advanced Materials and Nanotechnology, or other centers and institutes. The following list describes current Materials Science and Engineering research activities:

Metals Processing and Performance: joining of metals and alloys, laser engineered net shaping, solidification modeling, corrosion and coatings, deformation processing, grain boundary cohesion, bulk metallic glasses.

Ceramics and Glass Processing and Properties: fundamental studies of sintering and grain growth, novel reaction-based processing for bulk and thin film ceramics, microstructure and properties of oxides for environmental coatings, growth of single crystal piezoelectric ceramics, creep and grain boundary chemistry of alumina, dielectric and electrical properties of glasses, corrosion of glass.

Electronic and Photonic Materials and Packaging: electromigration, degradation processes in light-emitting semiconductors, mechanical behavior of thin metal films, reliability of MEMS materials, processing and performance of advanced solder alloys, polymer packaging materials, glass nanostructure and chemistry, glasses for nonlinear optical applications, transparent glass-ceramics, photoinduced phenomena.

Microstructural Characterization: transmission electron microscopy, scanning electron microscopy, nanoscale compositional mapping, cathodoluminescence microscopy and spectroscopy, x-ray microbeam diffraction and fluorescence, x-ray microanalysis, electron-loss spectrometry, extended x-ray absorption and electron energy loss fine structure (EXAFS and EXELFS).

Archaeometallurgy: reconstruction of ancient smelting and fabrication processes, artifact analysis using modern analytical methods, history of materials.

Graduate-Level Courses

MAT 401. Thermodynamics and Kinetics (3)

Integrated treatment of the fundamentals of thermodynamics, diffusion and kinetics, as related to materials processes. Laws of thermodynamics, conditions of equilibrium thermodynamics of phase transitions, diffusion in multicomponent systems, and kinetics of phase transformations. DuPont and Eades

MAT 403. Structure and Properties (3)

The underlying principles of the structure of materials and relationship to properties. Crystal structures and properties, point, line and planar defects and properties, and non-crystalline structure including covalent-ionic, metallic and polymeric glasses and properties. Jain

MAT 405. Mathematical Methods in Materials Science and Engineering (3)

Mathematical and computational skills required for an understanding of materials science principles. The topics to be discussed include vector and tensor calculus, with applications to crystallography and materials properties, solution of differential equations, emphasizing rate equations and the diffusion equation, integral transforms for solving differential equations and computation of scattering intensities, statistics and experimental design, and numerical methods and computer simulation. Cargill and Rickman

MAT 406. Solidification (3)

Structure, theory and properties of liquids. Homogeneous and heterogeneous nucleation theory and experimental results. Solidification phenomena in pure, single and multiphase materials including the nature of the freezing interface, segregation, constitutional super-cooling, dendritic growth, crystallographic effects, the origin of defects, crystal growing, zone processes. Prerequisite: consent of the department chair. DuPont

MAT 408. Transformations (3) fall

The thermodynamic, kinetic and phenomenological aspects of a wide spectrum of solid-state phase transformations. Theories of nucleation, growth and coarsening of second-phase precipitates. Application of the theories to continuous and discontinuous reactions, massive, martensitic and bainitic transformations in metals. Transformations in nonmetallics. Prerequisite: MAT 205 and 216 or equivalent.

MAT 409. Current Topics in Materials (3)

Recent practical and theoretical developments in materials. This course may be repeated for credit if new material is covered. Prerequisite: consent of the department chair.

MAT 410. Physical Chemistry of Metals (3)

Discussions of reactions involving gases and reactions involving pure condensed phases and a gaseous phase. Ellingham diagrams and equilibria in metal-oxygen-carbon systems. Consideration of the behavior of solutions and methods for determining thermodynamic properties of solutions by experimentation and computation. Prerequisite: MAT 205 or equivalent.

MAT 411. Modern Joining Methods (3)

The foundations upon which the joining processes rest; the present limitations of the various processes; the trends in new developments; the engineering and structural aspects of joining. Prerequisite: MAT 216 and 218 or equivalent.

MAT 412. Magnetic Properties of Materials (3)

Fundamental concepts of magnetism and magnetic properties of ferro- and ferrimagnetic materials. Metallic and nonmetallic materials. Current application areas considered as examples. Prerequisite: Phys 31 or 363 or equivalent.

MAT 413. Formability of Metals (3)

Formability concept. Analysis of the microstructure response to deformation processing parameters including state of stress, state of strain, stain rate, temperature, and friction. Analysis of formability in metal forming processes. Defects. Seminar/discussion format. Prerequisite: MAT 314 or consent of instructor. Misiolek

MAT 415. Mechanical Behavior of Ceramic Solids (3)

Strength, elasticity, creep, thermal stress fracture, hardness, abrasion and high-temperature deformation characteristics of single- and multi-component brittle ceramic solids. Statistical theories of strength, static and cyclic fatigue, crack propagation, fracture toughness. Correlation of mechanical behavior, microstructure, and processing parameters. Prerequisite: MAT 218 or consent of the department chair.

MAT 416. Atom Movements (3)

Phenomenological and atomistic development of the laws of diffusion and their solution. Influence of gradients of concentration, potential, temperature and pressure. Effects of structural defects on diffusion in metals and nonmetals. Prerequisite: MATH 23 and MAT 205 or the equivalent.

MAT 417. Deformation and Strength of Solids (3)

Topics related to deformation of solids including creep, strengthening mechanisms, annealing of deformed solids, preferred orientation. Primary emphasis is on crystalline materials. May be repeated for credit if different material is covered. Prerequisite: MAT 218 or equivalent.

MAT 418. Fatigue and Fracture of Engineering Materials (3)

Application of fracture mechanics concepts to the fatigue and fracture of crystalline and amorphous solids. Fracture control design philosophies. Metallurgical aspects of fracture toughness and embrittlement susceptibility. Environment-enhanced cracking. Fatigue crack propagation in metals and polymers. Electron fractography. Failure analysis case histories. Prerequisite: MAT 218 or equivalent.

MAT 419. Advanced Physical Metallurgy (3)

Application of physical metallurgy principles to materials systems. Transformation structures and the influence of morphology on properties. Alloy design and heat treatment for improved strength, toughness, creep, corrosion resistance, electrical and magnetic properties. Prerequisite: MAT 325 or equivalent. Marder

MAT 421. Fracture Analysis (3)

Application of fracture mechanics concepts, microstructural analysis, and fracture surface characterization to the analysis and prevention of engineering component failures. Extensive use of case histories. Introduction to legal aspects of product liability. Prerequisite: MAT 218 or MECH 313 or equivalent.

MAT 423. Advanced Transmission Electron Microscopy (4)

The theory and practice of operation of the transmission and scanning transmission electron microscope. Techniques covered include bright field, high resolution and weak-beam dark field, lattice imaging, diffraction pattern indexing and Kikuchi line analysis. The theory of diffraction contrast is applied to the interpretation of electron micrographs. Specimen preparation techniques. Prerequisite: MAT 334 or equivalent. Lyman, Eades

MAT 425. Topics in Materials Processing (3)

Topics such as: ceramics, metal, and polymer synthesis and compaction phenomena. Theories of sintering and grain growth. Physical behavior of sintered compacts. Techniques of fiber and crystal growth. Vapor deposition and ultra-high-purity materials preparation. Desirable preparation: MAT 204 or 206 or 214, and MAT 218. Prerequisite: consent of the department chair.

MAT 427. Advanced Scanning Electron Microscopy (4)

The theory and practice of operation of the scanning electron microscope and electron microprobe. Techniques covered will include high-resolution scanning, quantitative electron probe microanalysis. Electron beam sample interactions, X-ray spectrometry, and electron optics will be discussed in detail. Prerequisite: MAT 334 or equivalent. Lyman, Eades

MAT 429. Dielectric and Electrical Properties of Ceramics (3)

Basic concepts of dielectric and electrical phenomena in ceramics including dielectric loss, dielectric breakdown, ferroelectricity, piezoelectricity, mixed conduction, and interfacial effects. Physical and materials aspects of technologically important ceramics such as thermistors, varistors, boundary layer capacitors, solid electrolytes, gas sensors, glasses, etc. Prerequisite: MAT 201 or equivalent. Jain

MAT 430. Glass Science (3)

Definition and formation of glass. Structure of common inorganic (including metallic) and polymeric glass systems. Methods of glass making. Phase separation of devitrification. Physical properties including diffusion, electrical conductivity, chemical durability, and optical and mechanical properties. Special products including glass ceramics, optical fibers, photosensitive glasses, etc. Visit to a glass manufacturing plant may also be included. Prerequisite: MAT 315 or equivalent. Jain

MAT 431. Sintering Theory and Practice (3)

Science and technology of the sintering of solid-state materials. Driving force and variables. Critical review of the sintering models. Coverage of single phase, multiphase and composite systems. Special sintering techniques such as fast firing, rate controlled sintering, hot pressing and transient second-phase sintering. Sintering of specific ceramic and metal systems. Prerequisite: MAT 214 or equivalent. Harmer

MAT 432. Theories of Silicon Oxidation (3)

A critical review is given of advanced theories of silicon oxidation. Present accepted theory (Deal-Grove) is inadequate for explaining thin (state-of-the-art) oxides. Course will consider most recent approaches to theory of thin gate insulators. It will also include new experimental approaches that use "impurity gaseous doping" and halogen additions.

MAT 435. Photonic Materials (3)

Scope of photonics, especially in communications. Characteristics of light. Optical properties of metals, semiconductors and insulators. Nonlinear optical properties. Materials for fibers, lasers, detectors, modulators, amplifiers and other components. Prerequisites: MAT 302 or consent of instructor. Jain

MAT 437. (MECH 437) Dislocations and Strength in Crystals (3)

Theory and application of dislocations. Geometrical interpretation; elastic properties; force on a dislocation; dislocation interactions and reactions; multiplication. Dislocations in crystal structures. Selected topics in strengthening, plastic flow, creep, fatigue and fracture are discussed. Prerequisite: MATH 205 or 231, or MAT 320; MAT 317, or consent of the department chair. Wei

MAT 443. (CHEM 443) Solid-State Chemistry (3)

Crystal structure, diffraction in crystals and on surfaces, bonding and energy spectra in solids, dielectrics, surface states and surface fields in crystals. Prerequisites: one course in linear algebra and one course in quantum mechanics. Klier

MAT 455. Materials for Nanotechnology (3)

An introduction to the nanoworld and how we observe the nanoworld through transmission electron microscopy. Other topics include: probing nanosurfaces, carbon as a nanomaterial, fullerenes, carbon nanotubes, metal clusters, metal nanoparticle preparation, and directed self-assembly of nanoparticles. Also discussed are the thermal, chemical, electronic, optical, and magnetic properties of metal nanoparticles, nanowires, semiconductor nanoparticles, and inorganic nanoparticles. Kiely

MAT 456. Strategies for Nanocharacterization (3)

Lectures describe various nanocharacterization techniques in terms of which technique is best for specific measurements on nanostructures less than 100 nm in extent. Special attention is paid to spatial resolution and detection limits for SEM, TEM, X-ray analysis, diffraction analysis, ion beam techniques, surface techniques, AFM and other SPMs, and light microscopies and spectroscopies. Eades and Lyman

MAT 458. Materials Design (3)

Analysis of design requirements for materials components. Selection of materials and processes. Study of failures in process and service and application of recent metallurgical and materials engineering knowledge for improved design. Solution and discussion of industrial problems, and outline of experimental approach. Prerequisite: consent of the chair.

MAT 460. Engineering Project (1-3)

In-depth study of a problem in the area of materials engineering or design. The study is to lead to specific conclusions and be embodied in a written report. Intended for candidates for the M.Eng. May be repeated for a total of three credit hours.

MAT 461. Advanced Materials Research Techniques (3)

Study of the theory and application of selected advanced techniques for investigating the structure and properties of materials. May be repeated for credit with the approval of the department chair.

MAT 482. (CHM 482, CHE 482) Engineering Behavior of Polymers (3) spring

A treatment of the mechanical behavior of polymers. Characterization of experimentally observed viscoelastic response of polymeric solids with the aid of mechanical model analogs. Topics include time-temperature superposition, experimental characterization of large deformation and fracture processes, polymer adhesion, and the effects of fillers, plasticizers, moisture and aging on mechanical behavior. Pearson

MAT 485. (CHM 485, CHE 485) Polymer Blends and Composites (3) fall

Synthesis, morphology, and mechanical behavior of polymer blends and composites. Mechanical blends, block and graft copolymers, interpenetrating polymer networks, polymer impregnated concrete, and fiber and particulate reinforced polymers are emphasized. Prerequisite: any introductory polymer course or equivalent. Sperling

MAT 490. Thesis (1-6)

MAT 493. (CHE 493, CHM 493) Physical Polymer Science

Structural and physical aspects of polymers (organic, inorganic, and natural). Molecular and atomic basis for polymer properties and behavior. Characteristics of glassy, crystalline states (including viscoelastic and relaxation behavior) for single- and multi-component systems. Thermodynamics and kinetics of transition phenomena. Structure, morphology and behavior.

MAT 499. Dissertation (1-15)

Mathematics

Professors. Huai-Dong Cao, Ph.D. (Princeton), A. Everett Pitcher Professor; Donald M. Davis, Ph.D. (Stanford); Vladimir Dobric, Ph.D. (Zagreb, Croatia); Bennett Eisenberg, Ph.D. (M.I.T); Wei-Min Huang, Ph.D. (Rochester); Garth Isaak, Ph.D. (Rutgers); Terrence Napier, Ph.D. (Chicago); Eric P. Salathe, Ph.D. (Brown), director of the Institute for Biomedical Engineering and Mathematical Biology; Lee J. Stanley, Ph.D. (Berkeley); Steven H. Weintraub, Ph.D. (Princeton), chair; Joseph E. Yukich, Ph.D. (M.I.T.).

Associate professors. Bruce A. Dodson, Ph.D. (S.U.N.Y. at Stony Brook); David L. Johnson, Ph.D. (M.I.T.); Clifford S. Queen, Ph.D. (Ohio State); Susan Szczepanski, Ph.D. (Rutgers); Ramamirthan Venkataraman, Ph.D. (Brown).

Assistant professors. Mark A. Skandera, Ph.D. (M.I.T.); Xiaofeng Sun, Ph.D. (Stanford); Ping-Shi Wu, Ph.D. (Davis); Linghai Zhang, Ph.D. (Ohio State).

Adjunct professor. Howard Fegan, Ph.D. (Oxford).

Mathematics is a subject of great intrinsic power and beauty. It is the universal language of science, and is essential for a clear and complete understanding of virtually all phenomena. Mathematical training prepares a student to express and analyze problems and relationships in a logical manner in a wide variety of disciplines including the physical, engineering, social, biological, and medical sciences, business, and pure mathematics itself. This is a principal reason behind the perpetual need and demand for mathematicians in education, research centers, government, and industry.

The department offers three major programs leading to the degrees of bachelor of arts in mathematics, bachelor of science in mathematics (with a general mathematics and an applied mathematics option), and bachelor of science in statistics. It also offers several minor programs for undergraduates.

At the graduate level, it offers programs leading to the degrees of master of science in mathematics, master of science in applied mathematics, master of science in statistics, doctor of philosophy in mathematics, and doctor of philosophy in applied mathematics.

The Division of Applied Mathematics and Statistics is a part of the Department of Mathematics.

Calculus Sequences

Many degree programs throughout the university include a mathematics requirement consisting of a sequence in calculus. The Department of Mathematics offers three calculus sequences: MATH 21, 22, 23; MATH 31, 32, 33; MATH 51, 52.

The MATH 21, 22, 23 sequence is a systematic development of calculus. Most students of mathematics, science, engineering, and business will take some or all of this sequence.

As an honors sequence, the MATH 31, 32, 33 sequence covers essentially the same material but in greater depth and with more attention to rigor and proof. This sequence should be considered by students who have demonstrated exceptional ability in mathematics. Students who are contemplating a major in mathematics are strongly encouraged to consider this sequence.

The MATH 51, 52 sequence is a survey of calculus. This sequence is not sufficient preparation for most subsequent mathematics courses. Students contemplating further study in mathematics should consider MATH 21, 22 instead.

MATH 75, 76 is a two-semester sequence that substitutes for MATH 21, covering the same material but at a slower pace.

The MATH 31, 32, 33 sequence will be accepted in place of the other two sequences. MATH 21, 22 will be accepted in place of MATH 51, 52. Credit will be awarded for only one course in each of the following groups: 21, 31, and 51; 22, 32, and 52; 23 and 33. If two courses in the same group are taken, credit will be awarded for the more advanced course; 3x is the most advanced, while 5x is the least advanced.

Undergraduate Degree Programs

The Department of Mathematics offers degree programs in Mathematics and Statistics. These programs have the flexibility and versatility needed to prepare students for a wide variety of careers in government, industry, research and education.

Students in the degree programs in mathematics must satisfy three types of requirements beyond those required by the college: Core Mathematics Requirements, Major Requirements and General Electives. The Core Mathematics Requirement ensures a common core of knowledge appropriate for students in each program. The Major Program Electives consist of courses with specific mathematical or statistical content chosen by the student in consultation with the major advisor to complement the student's interest and career aspirations. With these further breadth and greater depth of knowledge are achieved. The General Electives consist of additional courses chosen from among those offered by the university faculty. Students can use these electives to pursue interests beyond the major, or may use these to expand upon the basic requirements of the degree program. Students are strongly encouraged to use some of these electives to earn a minor in another discipline.

Students in the degree program in statistics must satisfy four types of requirements beyond those required by the college: Required Major Courses, Major Electives, Professional Electives and Free Electives.

Each student is provided a faculty advisor to guide an individual program and supervise the selection of electives.

B.A. in Mathematics

The B.A. program in mathematics emphasizes fundamental principles as well as the mastery of techniques required for the effective use of mathematics. The program provides a solid foundation for those who want to pursue a mathematically oriented career or advanced study in any mathematically oriented field.

This program requires a total of 121 credit hours.

A student must achieve an average of 2.0 or higher in major courses.

BS in Mathematics

The BS in Mathematics program provides a more extensive and intensive study of mathematics and its applications. Students can pursue the General Mathematics Option or the Applied Mathematics Option. These programs are especially recommended for students intending to pursue advanced study in mathematics or applied mathematics. The General Mathematics Option is recommended for students who wish to pursue mathematics either by itself or in combination with a related field (e.g., physics, computer science or economics). The Applied Mathematics Option provides a broad background in the major areas of applicable mathematics.

General Mathematics Option

Requirements:

College Distribution Requirements (32-35 credits)

Core Mathematics Requirements (32-34 credits)

Major Requirements (24-25 credits)

This program requires a total of 121 credit hours.

A student must achieve an average of 2.0 or higher in major courses.

Applied Mathematics Option

Requirements:

College Distribution Requirements (32-35 credits)

Core Mathematics Requirements (33-34 credits)

Major Requirements (23-24 credits)

In consultation with the major advisor, a student must establish a concentration in a particular area of applied mathematics. The courses chosen must have specific mathematical or statistical content and together constitute a coherent program. At most two courses may be taken outside the Department of Mathematics. Students, in consultation with the major advisor, can design a concentration which reflects a particular area of interest or choose to pursue one of the following:

Concentration in Applied Analysis:

Electives must include MATH 230, MATH 322 and MATH 341

Concentration in Discrete Mathematics andTheoretical Computer Science:

Electives must include MATH 251, MATH 329 or MATH 340

Concentration in Probability and Statistics:

Electives must include MATH 309 and MATH 310

This program requires a total of 121 credit hours.

A student must achieve an average of 2.0 or higher in major courses.

B.S. in Statistics

Statistics provides a body of principles for designing the process of data collection, for summarizing and interpreting data, and for drawing valid conclusions from data. It thus forms a fundamental tool in the natural and social sciences as well as business, medicine, and other areas of research. Mathematical principles, especially probability theory, underlie all statistical analyses.

College and university requirements excludingMathematics (32-35 credit hours)

Required Major courses (45-47 credit hours)

Two approved computing science courses or one approved computer science course and Engineering 1 (6) or (7).

Major Electives (12 credit hours)

At least three courses with specific mathematical or statistical content chosen with the approval of the faculty advisor.

Professional Electives (21 credit hours)

Courses selected from two or three fields of application of statistics and probability.

Free Electives (6-11 credits)

This program requires a total of 121 credit hours.

A student must achieve an average of 2.0 or higher in major courses.

Departmental Honors

Students may earn departmental honors by writing a thesis during their senior year. Students are accepted into the program during their junior year by the department chairperson. This acceptance is based upon the student's grades and a thesis proposal, which the student must prepare in conjunction with a thesis advisor selected by the student. An oral presentation as well as a written thesis are required for completion of the program.

Minor Programs

The department offers minor programs in different branches of the mathematical sciences. Each program requires the courses shown below, and MATH 23 or 33. At most one of the courses in the minor program may also be required in the major program. For substitutions, the student should consult the chairperson.

Minor in Pure Mathematics

MATH 242, 243, 301

MATH 302 or 303 or 307 or 316 or 342

Minor in Applied Mathematics

Three of MATH 205, 208, 230, 231, 242, 320, 322, 323

MATH 341

Minor in Probability and Statistics

MATH 12 or 231

MATH 309

Two of MATH 310, 312, 334, 338

Minor in Actuarial Science

MATH 202, 309 and 310

ECON 129

ACCT 108 or 151

For information on examinations of actuarial societies, students may consult their minor advisor.

Undergraduate Courses

MATH 0. Preparation for Calculus (2) summer-fall

Intensive review of fundamental concepts in mathematics utilized in calculus, including functions and graphs, exponentials and logarithms, and trigonometry. This course is for students who need to take MATH 51 or 21, but who require remediation in precalculus. In particular, students who fail the MATH 51 Readiness Exam must pass MATH 0 before being admitted to MATH 51. The credits for this course do not count toward graduation, but do count on the GPA and current credit count. Prerequisite: department permission.

MATH 5. Introduction to Mathematical Thought (3) spring

Meaning, content, and methods of mathematical thought illustrated by topics that may be chosen from number theory, abstract algebra, combinatorics, finite or non-Euclidean geometries, game theory, mathematical logic, set theory, topology. (MA)

MATH 9. Introduction to Finite Mathematics (4) fall

Systems of linear equations, matrices, introduction to linear programming. Sets, counting methods, probability, random variables, introduction to Markov chains. Students may not receive credit for both MATH 9 & 61. (MA)

MATH 12. Basic Statistics (4) fall-spring

A first course in the basic concepts and methods of statistics with illustrations from the social, behavioral, and biological sciences. Descriptive statistics; frequency distributions, mean and standard deviation, two-way tables, correlation and regression; random sampling, rules of probability, probability distributions and parameters, parameter estimation, confidence intervals, hypothesis testing, statistical significance. (MA)

Note: Students may not have credit for MATH 12 & ECO 145.

MATH 21. Calculus I (4) fall-spring

Functions and graphs; limits and continuity; derivative, differential, and applications; indefinite and definite integrals; trigonometric, logarithmic, exponential, and hyperbolic functions. (MA)

MATH 22. Calculus II (4) fall-spring

Applications of integration; techniques of integration; separable differential equations; infinite sequences and series; Taylor's Theorem and other approximations; curves and vectors in the plane. Prerequisite: MATH 21 or MATH 31. (MA)

MATH 23. Calculus III (4) fall-spring

Vectors in space; partial derivatives; Lagrange multipliers; multiple integrals; vector analysis; line integrals; Green's Theorem, Gauss's Theorem. Prerequisite: MATH 22 or MATH 32. (MA)

MATH 31. Honors Calculus I (4) fall

Same topics as in MATH 21, but taught from a more thorough and rigorous point of view. (MA)

MATH 32. Honors Calculus II (4) fall-spring

Same topics as in MATH 22, but taught from a more thorough and rigorous point of view. Prerequisite: MATH 31. (MA)

MATH 33. Honors Calculus III (4) fall-spring

Same topics as in MATH 23, but taught from a more thorough and rigorous point of view. Prerequisite: MATH 32. (MA)

MATH 43. Survey of Linear Algebra (3) fall

Matrices, vectors, vector spaces and mathematical systems,