The University of Jordan

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: Click here!​

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)