MATH 100: Course Outline

University of British Columbia: MATH 100, Section 91D Course Outline

Text:	Single variable calculus: early transcendentals, 5th Edition
	by C. Henry Edwards and David E.Penney, Prentice Hall 1998, ISBN 0-13-793092-5

Note. This is a truncated version of the text Calculus with analytic geometry: early transcendentals by the same authors, ISBN 0-13-736331-1.

Chapter 1 - Functions and Graphs

1.1 Functions and Mathematical Modeling
1.2 Graphs of Equations and Functions
1.3 A Brief Catalog of Functions, Part1
1.4 A Brief Catalog of Functions, Part2

Chapter 2 - Prelude to Calculus

2.1 Tangent Lines and Slope Predictors
2.2 The Limit Concept
2.3 More About Limits
2.4 The concept of Continuity

Chapter 3 - The Derivative

3.1 The Derivative and Rates of Change
3.2 Basic Differentiation Rules
3.3 The Chain Rule
3.4 Derivatives of Algebraic Functions
3.5 Maxima and Minima of Functions on Closed Intervals
3.6 Applied Maximum-Minimum Problems
3.7 Derivatives of Trig Functions
3.8 Exponentials, Logarithms, and Inverse Functions
3.9 Implicit Differentiation and Related Rates
3.10 Successive Approximations and Newton's Method

Chapter 4 - Additional Applications of the Derivative

4.2 Increments, Differentials, and Linear Approximation
4.3 Increasing and Decreasing Functions and the Mean Value Theorem
4.4 The First Derivative Test and Applications
4.5 Simple Curve Sketching
4.6 Higher Derivatives and Concavity
4.7 Curve Sketching and Asymptotes

Chapter 7 - Exponential and Logarithmic Functions

7.2 The Natural Logarithm
7.3 The Exponential Function
7.4 General Exponential and Logarithmic Functions
7.5 Natural Growth and Decay
7.6 Linear First-Order Equations and Applications

Chapter 8 - Further Calculas of Transcendental Functions

8.2 Inverse Trigonometric Functions
8.3 Indeterminate Forms and L'Hopitals Rule
8.4 Additional Indeterminate Forms