Math 1131 Outline - Spring 2011

(Calculus, Early Transcendentals, by Briggs and Cochran 1st Edition)

Week Date Section Topic
1 1/19 1.1 Review of Functions
1.2 Representing Functions
2 1/24 1.3 Inverse, Exponential, and Logarithm Functions
1.4 Trigonometric Functions and Their Inverses
2.1 The Idea of Limits
2.2 Definitions of Limits
3 1/31 2.3 Techniques for Computing Limits
2.4 Infinite Limits
2.5 Limits at Infinity
4 2/7 2.6 Continuity
3.1 Introducing the Derivative
3.2 Rules of Differentiation
5 2/14 3.3 The Product and Quotient Rules
3.4 Derivatives of Trigonometric Functions
3.5 Derivatives as Rates of Change
6 2/21   Review for Exam I
2/23   Exam I
7 2/28 3.6 The Chain Rule
3.7 Implicit Differentiation
3.8 Derivatives of Logarithmic and Exponential Functions
3/7 No class Spring Recess
8 3/14 3.9 Derivatives of Inverse Trigonometric Functions
3.10 Related Rates
4.1 Maxima and Minima
9 3/21 4.2 What Derivatives Tell Us
4.3 Graphing Functions
10 3/28 4.4 Optimization Problems
4.6 Mean Value Theorem
4.7 L'Hopital's Rule
11 4/4   Review for Exam 2
4/6   Exam 2
12 4/11 4.8 Antiderivatives
5.1 Approximating Areas under Curves
5.2 Definite Integrals
13 4/18 5.3 Fundamental Theorem of Calculus
5.4 Working with Integrals
5.5 Substitution Rule
14 4/25 6.1 Velocity and Net Change
6.2 Regions between Curves