Course Outline

1. Preliminaries
   1. Number Theory
   2. Basic Concepts from Geometry
   3. Graphs
   4. Functions
2. Limits and Continuity
   1. Rate of Change and Limits
   2. Rules for finding Limits
   3. Limits from Graphs
   4. Continuity
3. Derivatives
   1. Derivative of a Function
   2. Differentiation Rules
   3. The Chain Rule
   4. Implicit Differentiation
4. Applications of Derivatives
   1. Extreme Values of Functions
   2. The Mean Value Theorem and its’ Corollaries
   3. The first and second derivative test for local extreme values
   4. Graphing with First and Second Derivatives
5. Integration
   1. Definition
   2. Fundamental Theorem of Integral Calculus
   3. Introduction to Intuitive Calculus
6. Sequences
   1. Convergence and Divergence

Text Books

1. Howard Anton, "Calculus with Analytical Geometry", 5th Edition, John Wiley & Sons, Inc., 1995
2. George B. Thomas and Ross L. Finney, "Calculus and Analytical Geometry, Addison-Wesley, October 1996