Textbook

J. Stewart, Calculus, Early Transcendentals, 5 ed

References  

Course Goals

Students should master the concepts and techniques of one variable differential and integral calculus, and be able to deploy their skills in solving problems in a wide range of applications areas.    

Prerequisites by Topic

High School Algebra and Trigonometry.

Major Topics Covered in the Course

See Catalog Description above; also see Annotated Syllabus Outline, appended.

Laboratory projects (specify number of weeks on each)

Estimate CSAB Category Content

CORE      ADVANCED
   

Data Structures
Computer Organization and Architecture
Algorithms Software Design
Concepts of Programming Languages
 
 
Oral and Written Communications

Every student is required to submit at least  _____  written reports (not including exams, tests, quizzes, or commented programs) of typically  _____  pages and to make  _____  oral presentations of typically  _____  minutes duration. Include only material that is graded for grammar, spelling, style, and so forth, as well as for technical content, completeness, and accuracy.

Social and Ethical Issues

Theoretical Content

The main theoretical notions are limits and continuity, the definition and significance of the derivative, the derivative and linear approximation, the Intermediate Value Theorem, the Extreme Value Theorem, the Mean Value Theorem, behaviors of functions, antiderivatives, Riemann sums and the definite integral, the Fundamental Theorem of Calculus. Somewhere between 35 and 40% of lecture time is spent on these topics.

Problem Analysis

Identification of problem types and matching of techniques mastered to problem types.

Solution Design

Devising and carrying out solution strategies to problems from within Mathematics and from a wide range of applications areas.