COURSE INFO

SCHEDULE

SCHEDULE

HOMEWORK

OFFICE HOURS


MATH 225, SPRING 2012

Calculus 3

Daily Schedule



Our goal is to cover approximately three sections in the textook per week. That leaves us approximately two weeks of 'wiggle-room', taken up by reviews for assignments and extra days on more challenging sections. This page will be updated weekly with our progress, and will contain the quiz keys and review materials for exams.

Assignments

1 Tuesday, 1/17 §12.1: Introduction to Calculus 3, Rectanular Coordinates in \( {{\bf R}^3} \)
2 Thursday, 1/19 §12.2: Inroduction to Vectors, Quiz 0
3 Friday, 1/20 §12.2-3: More on Vectors, The Dot Product
4 Monday, 1/23 §12.4: The Cross Product
5 Tuesday, 1/24 §12.5: Equations of Lines
6 Thursday, 1/26 §12.5: More on Lines and Planes, Quiz 1
7 Friday, 1/27 §12.5: Equations of Planes
8 Monday, 1/30 §13.1: Vector Valued Functions in \ ( {{\bf R}^2} \)
9 Tuesday, 1/31 §13.1: Vector Valued Functions in \ ( {{\bf R}^3} \) Calculus of Vector Valued Functions
10 Thursday, 2/2 §13.2: More exploratios of VVF's and limits, Quiz 2
11 Friday, 2/3 §13.2: Derivatives and Integrals of vvf's
12 Monday, 2/6 §13.3: Arc Length and Curvature
13 Tuesday, 2/7 §13.4: Tangential and Normal Components of Acceleration, the TNB frame
14 Thursday, 2/9 §13.3: Review of Curvature and Physics Problems Quiz 3
15 Friday, 2/10 Quadric Surfaces and Snack Foods
16 Monday, 2/13 §14.1: Introduction to Functions from \ ( {\bf R}^2 \to {\bf R} \), Domains
17 Tuesday, 2/14 §14.1: Level Curves
18 Thursday, 2/16 §14.2: Intro to Limits Quiz 4
19 Friday, 2/17 §14.2: More on Limits and Continuity
20 Tuesday, 2/21 §14.3: Partial Derivatives
21 Thursday, 2/23 Review for Exam 1. Practice Exam is here , Key is here.
22 Friday, 2/24 EXAM 1
23 Monday, 2/27 §14.3: More on Tangent Planes and Approximations
24 Tuesday, 2/28 §14.4: The Chain Rule for multivariable functions
25 Thursday, 3/1 §14.4: The Implicit Function Theorem Quiz 5
26 Friday, 3/2 §14.5: Directional Derivatives
27 Monday, 3/5 §14.6-7: Higher Order Derivatives, Maxima and Minima
28 Tuesday, 3/6 §14.7: More on Maxima and Minima
29 Thursday, 3/8 §14.2: Constrained Optimization Quiz 6
30 Friday, 3/9 Pi Day (observed)
31 Monday, 3/26 §14.8: Lagrange Multipliers and Constrained Optimization
32 Tuesday, 3/27 §15.1: Volume under a Surface, Integration in 3-D
33 Thursday, 3/29 §15.1: Integration over General Regions, Quiz 7
34 Friday, 3/30 §15.1: More about General Regions, Strip and Strips
35 Monday, 4/2 §15.2: Integrals in Polar Coordinates
36 Tuesday, 4/3 §15.3: Centers of Mass
37 Thursday, 4/5 §15.4: Surface Area Quiz 8
38 Friday, 4/6 §15.4: More on Polar Areas and Surface Areas
39 Monday, 4/9 §15.5: Introduction to Triple Integrals
40 Thursday, 4/12 Review for EXAM 2 Practice Exam is Here
41 Friday, 4/13 EXAM 2
42 Monday, 4/16 §15.6: Integrals in Cylindrical Coordinates
43 Tuesday, 4/17 §15.6: Integrals in Spherical Coordinates
44 Thursday, 4/19 §16.2: Introduction to Line Integrals Quiz 9
45 Friday, 4/20 §16.2: Line Integrals and Conservative Vector Fields
46 Monday, 4/23 §16.3: The Fundamental Theorem of Line Integrals
47 Tuesday, 4/24 §16.4: Green's Theorem
48 Thursday, 4/26 §16.2-4: The FlowChart of Line Integrals Quiz 10
49 Friday, 4/27 §16.5: Curl and Divergence
50 Monday, 4/30 §16.6: Parametric Surfaces, Surface Area
51 Tuesday, 5/1 §16.7: Flux and Surface Integrals
52 Thursday, 5/3 §16.7: More on Vector Integrals Quiz 11
53 Friday, 5/4 §16.8: Stokes' Theorem
54 Monday, 5/7 §16.8,16.9: Stokes' Theorem, Gauss' Divergence Theorem, The Pantheon of Integral Theorems
55 Tuesday, 5/8 A Selected Short on the life of Gauss


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