   ## Calculus I (0301101)

Welcome to Calculus I Course Description:

Functions: domain, operations on functions, graphs of functions; trigonometric functions; limits: meaning of a limit, computational techniques, limits at infinity, infinite limits; continuity; limits and continuity of trigonometric functions; the derivative: techniques of differentiation, derivatives of trigonometric functions; the chain rule; implicit differentiation; differentials; Roll’s Theorem; the mean value theorem; the extended mean value theorem; L’Hopital’s rule; increasing and decreasing functions; concavity; maximum and minimum values of a function; graphs of functions including rational functions (asymptotes) and functions with vertical tangents (cusps); antiderivatives; the indefinite integral; the definite integral; the fundamental theorem of calculus ; area under a curve; area between two curves; transcendental functions: inverse functions, logarithmic and exponential functions and their derivatives and integrals; limits (the indeterminate forms); hyperbolic functions and their inverses; inverse trigonometric functions; some techniques of integration.

Textbook:

James Stewart. Calculus (Early Transcendentals). Latest Edition, Thomson, Metric international version, Canada.

Topic Outline and Schedule:​

The following is a rough plan. As the course progresses, I may include new topics and/or delete some of the ones listed here.

 Topic Week 1. Functions and models 1-3 2. Limits and derivatives 4-6 3. Differentiation rules 7-9 4. Applications of differentiation 10-13 5. Integrals​ 14-16

Detailed Course Syllabus

Exams & Keys:​

 Semester Exam Key​ Highest score​ Lowest score Fall 2016 First Exam Solutions 20/20 0/20 Second Exam​ Solutions 30/30 0/30

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Calculus I (0301101)