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, 1/25 11.1 Introduction, Parametric Equations
2 Wednesday, 1/27 11.1 Parametric Equations, Cycloids
3 Friday, 1/29 13.1, 13.2 Higher Dimensions, Vectors
4 Monday, 2/1 13.3, 13.4 Dot Product, Cross Product
5 Wednesday, 2/3 13.4, 13.5 Cross Product, Equations of Lines and Planes
6 Friday, 2/5 13.5 Equations of Lines and Planes
7 Monday, 2/8 14.1, 14.2 Vector-Valued Functions and Derivatives
8 Wednesday, 2/10 14.4, 15.1 Motion in Space, Functions of Several Variables
9 Friday, 2/12 15.1, 15.2 Level Curves, Limits and Continuity
10 Monday, 2/15 15.2, 15.3 Limits and Continuity, Partial Derivatives
11 Wednesday, 2/17 15.3, 15.4 Partial Derivatives, Tangent Planes, Differentiability
12 Friday, 2/19 - First Exam
13 Monday, 2/22 15.4, 15.5 Differentiability, The Chain Rule
14 Wednesday, 2/24 15.5, 15.6 The Chain Rule, Directional Derivatives, The Gradient
15 Friday, 2/26 15.6, 15.7 The Gradient, Tangent Planes to Level Surfaces, Local Max/Mins
16 Monday, 2/29 15.7 Local and Absolute Max/Mins for Functions of Two Variables
17 Wednesday, 3/2 15.7, 15.8 Absolute Max/Mins, Lagrange Multipliers
18 Friday, 3/4 15.8 Lagrange Multipliers
19 Monday, 3/7 5.1 - 5.3, 8.1 Integration Review, Integration by Parts
20 Wednesday, 3/9 8.1, 8.2 Integration by Parts, Trigonometric Integrals
21 Friday, 3/11 - Second Exam
22 Monday, 3/14 8.3 Integration by Trigonometric Substitution
23 Wednesday, 3/16 8.4 Partial Fractions
24 Friday, 3/18 8.8 Improper Integrals
- - - Spring Break
25 Monday, 4/4 8.7, 9.1, 14.3 Numerical Integration, Arc Length
26 Wednesday, 4/6 16.1, 16.2 Double Integrals and Iterated Integrals over Rectangles
27 Friday, 4/8 16.3 Double Integrals over General Regions, Swithching the Order of Integration
28 Monday, 4/11 16.3, 11.3 Switching the Order of Integration, Polar Coordinates
29 Wednesday, 4/13 16.4 Double Integrals in Polar Coordinates
30 Friday, 4/15 16.5 Applications of Double Integrals
31 Monday, 4/18 16.6 Triple Integrals
32 Wednesday, 4/20 16.7 - 16.8 Triple Integrals in Cylindrical Coordinates, Spherical Coordinates
33 Friday, 4/22 16.8 Triple Integrals in Spherical Coordinates
34 Monday, 4/25 16.9 General Change of Variables
35 Wednesday, 4/27 17.1, 17.2 Vector Fields, Line Integrals
36 Friday, 4/29 - Third Exam
37 Monday, 5/2 17.2 Line Integrals
38 Wednesday, 5/4 17.3 Fundamental Theorem for Line Integrals
39 Friday, 5/6 17.3 Conservative Vector Fields
40 Monday, 5/9 17.4 Green's Theorem
41 Wednesday, 5/11 17.4 Green's Theorem
42 Friday, 5/13 - Review