Math 1131 Outline - Fall 2008

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

Week Date Section Topic
1 8/25 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 9/1 No Class Labor Day
1.6 Inverse Functions & Logarithms
2.1 Tangent and Velocity Problems
2.2 Limits
3 9/8 2.3 Limit Laws
2.4 Definition of a Limit
2.5 Continuity
4 9/15 2.6 Limits at Infinity
2.7 Derivatives and Rates of Change
2.8 Derivative of a Function
5 9/22 3.1 Derivatives of Polynomials & Exponential Functions
3.2 Product and Quotient Rules
3.3 Derivatives of Trigonometric Functions
6 9/29 3.4 The Chain Rule
3.5 Implicit Differentiation
3.6 Derivatives of Logarithmic Functions
10/6 3.7 Rates of Change in the Natural and Social Sciences
7 3.8 Exponential Growth and Decay
Review for Exam I
8 10/13 Review for Exam I
10/14 Exam I, 6-8 PM
3.9 Related Rates
3.10 Linear Approximations and Differentials
9 10/20 4.1 Maximum and Minimum Values
4.2 Mean Value Theorem
4.3 How Derivatives Affect the Shape of a Graph
10 10/27 4.4 L'Hospital's Rule
4.5 Summary of Curve Sketching
4.6 Graphing with Calculus and Calculators
11 11/3 4.7 Optimization Problems
4.9 Antiderivatives
5.1 Areas and Distance
12 11/10 5.2 The Definite Integral
5.3 Fundamental Theorem
Review for Exam 2
13 11/17 Review for Exam 2
11/18 Exam 2, 6-8 PM
5.4 Indefinite Integrals and the Net Change Theorem
11/24 No Class Thanksgiving
14 12/1 5.5 The Substitution Rule
Review for final exam