![]() |
|
||||||||||||
|
|||||||||||||
|
|
Math 21 Calculus I [4]
Instructor: E. P. Salathe
Current Course Catalog Description
Functions and graphs; limits and continuity; derivative, differential and applications; indefinite and definite integrals; trigonometric, logarithmic, exponential and hyperbolic functions.
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
Data Structures
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. |
|||||||
![]() |
||||||||
|
|