Math 115 Outline - Fall 2007

(Calculus, Early Transcendentals, by James Stewart 6th Edition)

Week Date Section Topic
1 8/27 1.1 Four Ways to Represent a Function
1.2 Mathematical Models
1.3 New Functions From Old Functions
1.4 Graphing Calculators
1.5 Exponential Functions
2 9/3 No Class Labor Day
1.6 Inverse Functions & Logarithms
2.1 Tangent and Velocity Problems
2.2 Limits
3 9/10 2.3 Limit Laws
2.4 Definition of a Limit
2.5 Continuity
4 9/17 2.6 Limits at Infinity
2.7 Derivatives and Rates of Change
2.8 Derivative of a Function
5 9/24 3.1 Derivatives of Polynomials & Exponential Functions
3.2 Product and Quotient Rules
3.3 Derivatives of Trigonometric Functions
6 10/1 3.4 The Chain Rule
3.5 Implicit Differentiation
Review for Exam I
7 10/8 Review for Exam I
10/9 Exam I, 6-8 PM
3.6 Derivatives of Logarithmic Functions
3.7 Rates of Change in the Natural and Social Sciences
8 10/15 3.8 Exponential Growth and Decay
3.9 Related Rates
3.10 Linear Approximations and Differentials
9 10/22 4.1 Maximum and Minimum Values
4.2 Mean Value Theorem
4.3 How Derivatives Affect the Shape of a Graph
10 10/29 4.4 L'Hospital's Rule
4.5 Summary of Curve Sketching
4.6 Graphing with Calculus and Calculators
11 11/5 4.7 Optimization Problems
4.9 Antiderivatives
Review for Exam 2
12 11/12 Review for Exam 2
11/13 Exam 2, 6-8 PM
5.1 Areas and Distance
11/19 No Class Thanksgiving
13 11/26 5.2 The Definite Integral
5.3 Fundamental Theorem
5.4 Indefinite Integrals and the Net Change Theorem
14 12/3 5.5 The Substitution Rule
Review for final exam