Math 133

Calculus II

General Information Schedule Homework

Schedule

We will cover most of the material in Chapters 8, 13, 14, 15, 16 of the textbook, and parts of Chapters 9, 11, 17.

Class Number Date Sections in Text Brief Description
1 Friday, 8/27 8.1 Introduction, Quick Review of u-substitution, Integration by Parts
2 Monday, 8/30 8.1, 8.2 Integration by Parts, Trigonometric Integrals
3 Tuesday, 8/31 8.2, 8.3 Trigonometric Integrals, Integration by Trigonometric Substitution
4 Wednesday, 9/1 8.3 Integration by Trigonometric Substitution
5 Friday, 9/3 8.4 Integration by Partial Fractions
6 Monday, 9/6 8.4, 8.7 Integration by Partial Fractions, Numerical Integration
7 Tuesday, 9/7 8.8 Improper Integrals
8 Wednesday, 9/8 8.8, 9.1 Improper Integrals, Arc Length
9 Friday, 9/10 11.1 Parametric Equations
10 Monday, 9/13 11.1 Parametric Equations, Cycloids
11 Tuesday, 9/14 13.1, 13.2 Higher Dimensions, Vectors
12 Wednesday, 9/15 - First Exam
13 Friday, 9/17 13.3, 13.4 The Dot Product and Cross Product
14 Monday, 9/20 - Class Canceled
15 Tuesday, 9/21 13.4, 13.5 Cross Product, Equations of Lines
16 Wednesday, 9/22 13.5 Equations of Lines and Planes
17 Friday, 9/24 14.1, 14.2 Vector-Valued Functions, Derivatives
18 Monday, 9/27 14.2, 14.4 Derivatives of Vector-Valued Functions, Motion in Space
19 Tuesday, 9/28 14.4, 14.3, 15.1 Motion in Space, Arc Length, Functions of Several Variables
20 Wednesday, 9/29 15.1 Functions of Several Variables, Level Curves
21 Friday, 10/1 15.2 Limits and Continuity
22 Monday, 10/4 15.3 Partial Derivatives
23 Tuesday, 10/5 15.4 Tangent Planes
24 Wednesday, 10/6 - Second Exam
25 Friday, 10/8 15.4, 15.5 Tangent Planes, The Chain Rule
26 Monday, 10/11 15.5 The Chain Rule
27 Tuesday, 10/12 15.6 Directional Derivatives, The Gradient
28 Wednesday, 10/13 15.6 The Gradient and its Relation to Level Curves
29 Friday, 10/15 15.6, 15.7 Tangents Planes to Level Surfaces, Local Max/Mins
- Monday, 10/18 - Fall Break
- Tuesday, 10/19 - Fall Break
- Wednesday, 10/20 - Fall Break
- Friday, 10/22 - Fall Break
30 Monday, 10/25 15.7 Second Derivative Test for Local Max/Mins
31 Tuesday, 10/26 15.7 Absolute Max/Mins
32 Wednesday, 10/27 15.8 Lagrange Multipliers
33 Friday, 10/29 15.8 Lagrange Multipliers
34 Monday, 11/1 16.1 Double Integrals over Rectangles
35 Tuesday, 11/2 16.2 Iterated Integrals over Rectangles
36 Wednesday, 11/3 16.3 Double Integrals over General Regions
37 Friday, 11/5 16.3, 11.3 Switching the Order of Integration, Polar Coordinates
38 Monday, 11/8 - Third Exam
39 Tuesday, 11/9 11.3, 16.4 Polar Coordinates, Double Integrals in Polar Coordinates
40 Wednesday, 11/10 16.4 Double Integrals in Polar Coordinates
41 Friday, 11/12 16.5 Applications of Double Integrals
42 Monday, 11/15 16.6 Triple Integrals
43 Tuesday, 11/16 16.6, 16.7 Triples Integrals, Cylindrical Coordinates
44 Wednesday, 11/17 16.7 Integration in Cylindrical Coordinates, Spherical Coordinates
45 Friday, 11/19 16.8 Integration in Spherical Coordinates
46 Monday, 11/22 16.8, 16.9 General Change of Variables
47 Tuesday, 11/23 16.9 General Change of Variables
48 Wednesday, 11/24 17.1 Vector Fields
- Friday, 11/26 - Thanksgiving Break
49 Monday, 11/29 17.2 Line Integrals
50 Tuesday, 11/30 17.2 Line Integrals
51 Wednesday, 12/1 - Fourth Exam
52 Friday, 12/3 17.3 Fundamental Theorem for Line Integrals
53 Monday, 12/6 17.3 Fundamental Theorem for Line Integrals
54 Tuesday, 12/7 17.4 Green's Theorem
55 Wednesday, 12/8 17.4 Green's Theorem
56 Friday, 12/10 - Overview of Stokes' Theorem and the Divergence Theorem