Math 131

Calculus I

General Information Schedule Homework

Schedule

We will cover most of the material in Chapters 2-7.

Class Number Date Sections in Text Brief Description
1 Friday, 8/27 1.1 - 1.2 Introduction, Function Review, Trigonometry Review
2 Monday, 8/30 1.3 - 2.2 Function Composition, Approximations, The Speed and Area Problems, Limits
3 Wednesday, 9/1 2.2, 2.4 Limits - Intuition and Precise Definition
4 Friday, 9/3 2.3 Limit Laws, Squeeze Theorem
5 Monday, 9/6 2.5 Continuity, Intermediate Value Theorem
6 Wednesday, 9/8 3.1 - 3.2 Derivatives, Rates of Change
7 Friday, 9/10 3.2 - 3.3 Differentiability, Sum and Product Rule
8 Monday, 9/13 3.3 - 3.4 Power Rule and Quotient Rule, Derivatives of Trigonometric Functions
9 Wednesday, 9/15 3.4 - 3.5 Derivatives of Trigonometric Functions, Chain Rule
10 Friday, 9/17 3.6 Implicit Differentiation
11 Monday, 9/20 3.7 - 3.8 Rates of Change in the Natural and Social Sciences, Related Rates
12 Wednesday, 9/22 - First Exam
13 Friday, 9/24 4.1 Absolute Maximum and Minimum Values, Extreme Value Theorem
14 Monday, 9/27 4.1 Finding Absolute Maximum and Minimum Values on Closed Bounded Intervals
15 Wednesday, 9/29 4.2 Rolle's Theorem, Mean Value Theorem
16 Friday, 10/1 4.2 - 4.3 Mean Value Theorem, Increasing/Decreasing, First Derivative Test, Concavity
17 Monday, 10/4 4.3 - 4.4 Concavity, Second Derivative Test, Inflection Points, Horizontal Asymptotes
18 Wednesday, 10/6 4.4 - 4.5 Horizontal Asymptotes, Curve Sketching
19 Friday, 10/8 4.7 Optimization
20 Monday, 10/11 4.7 Optimization
21 Wednesday, 10/13 4.9 Antiderivatives
22 Friday, 10/15 4.8 Newton's Method
- - - Fall Break
23 Monday, 10/25 5.1 Areas and Distances
24 Wednesday, 10/27 - Second Exam
25 Friday, 10/29 5.2 The Definite Integral
26 Monday, 11/1 5.3 Fundamental Theorem of Calculus
27 Wednesday, 11/3 5.4 - 5.5 Indefinite Integrals, Net Change Theorem, Integration by Substitution
28 Friday, 11/5 5.5, 7.1 Integration by Substitution, Inverse Functions
29 Monday, 11/8 7.1 Inverse Functions
30 Wednesday, 11/10 7.2 Exponential Functions
31 Friday, 11/12 7.3 - 7.4 Logarithmic Functions
32 Monday, 11/15 7.5 Exponential Growth and Decay
33 Wednesday, 11/17 7.6 Inverse Trigonometric Functions
34 Friday, 11/19 7.6, 7.8 Inverse Trigonometric Functions, L'Hopital's Rule
35 Monday, 11/22 - Third Exam
36 Wednesday, 11/24 7.8, 8.1 L'Hopital's Rule, Integration by Parts
- - - Thanksgiving Break
37 Monday, 11/29 8.1 Integration by Parts
38 Wednesday, 12/1 6.1 Area Between Curves
39 Friday, 12/3 6.2 Volumes
40 Monday, 12/6 6.3 Volumes by Cylindrical Shells
41 Wednesday, 12/8 6.5 Volumes, Average Value of a Function
42 Friday, 12/10 - Review