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