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