Math 115 Outline - Spring 2008

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

Week Date Section Topic
1 1/23 1.1 Four Ways to Represent a Function
1.2 Mathematical Models
1.3 New Functions From Old Functions
1.4 Graphing Calculators
2 1/28 1.5 Exponential Functions
1.6 Inverse Functions & Logarithms
2.1 Tangent and Velocity Problems
2.2 Limits
3 2/4 2.3 Limit Laws
2.4 Definition of a Limit
2.5 Continuity
4 2/11 2.6 Limits at Infinity
2.7 Derivatives and Rates of Change
2.8 Derivative of a Function
5 2/18 3.1 Derivatives of Polynomials & Exponential Functions
3.2 Product and Quotient Rules
Review for Exam I
6 2/25 Review for Exam I
2/26 Exam I, 6-8 PM
3.3 Derivatives of Trigonometric Functions
7 3/3 3.4 The Chain Rule
3.5 Implicit Differentiation
3.6 Derivatives of Logarithmic Functions
3/10 No Class Spring Break
8 3/17 3.7 Rates of Change in the Natural and Social Sciences
3.8 Exponential Growth and Decay
3.9 Related Rates
9 3/24 3.10 Linear Approximations and Differentials
4.1 Maximum and Minimum Values
4.2 Mean Value Theorem
10 3/31 4.3 How Derivatives Affect the Shape of a Graph
4.4 L'Hospital's Rule
Review for Exam 2
11 4/7 Review for Exam 2
4/8 Exam 2, 6-8 PM
4.5 Summary of Curve Sketching
12 4/15 4.7 Optimization Problems
4.9 Antiderivatives
5.1 Areas and Distance
13 4/21 5.2 The Definite Integral
5.3 Fundamental Theorem
5.4 Indefinite Integrals and the Net Change Theorem
14 4/28 5.5 The Substitution Rule
Review for final exam