MAT 126 -- Calculus I 
Course Description

Text: James Stewart, "Calculus: Concepts and Contexts," Brooks/Cole, Boston, 1998. Chapters 1-5.

References:

• How to Ace Calculus, by Colin Adams, Abigail Thompson and Joel Hass, W. H. Freeman and Company, New York, 1998.
• Michael Spivak, Calculus, (3rd ed.) Publish or Perish Inc., Houston, 1994.
• R. L. Jeffery, Calculus, University of Toronto Press, 1955.

Syllabus:

• Functions
• Parametric Curves
• Exponential Functions
• Inverse Functions and Logarithms
• Limits and Derviatives
• The Tangent Problem
• The Limit of a Function
• Continuity
• Rates of Change
• Derivatives
• Linear Approximations
• Differentiation Rules
• Derivatives of Polynomials and Exponential Functions
• The Product and Quotient Rules
• Derivatives of Trigonometric Functions
• The Chain Rule
• Implicit Differentiation
• Derivatives of Logarithmic Functions
• Applications of Differentiation
• Related Rates
• Maximum and Minimum Values
• Graphing
• Indeterminate Forms and L'Hopital's Rule
• Optimization Problems
• Newton's Method
• Antiderivatives
• Integrals
• Areas and Distances
• The Definite Integral
• Evaluating Definite Integrals
• The Fundamental Theorem of Calculus
• The Substitution Rule
• Integration by Parts
• Numerical Integration
• Improper Integrals