COURSE INFO
SCHEDULE
SCHEDULE
HOMEWORK
OFFICE HOURS
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MATH 225, SPRING 2008
Calculus 3
Daily Schedule
This page will be updated weekly with the topics covered in each class meeting.
Assignments
1 |
Monday, 1/14 |
§11.1: Introduction to Calc 3, Planes and 3-D Coordinates |
2 |
Wednesday, 1/16 |
§11.2: Introduction to Vectors |
3 |
Friday, 1/18 |
§11.3: Dot Products, Projections, Geometric Proofs |
4 |
Wednesday, 1/23 |
§11.4: Cross Products and Orthogonality |
5 |
Friday, 1/25 |
§11.5: Lines, Intro to Planes, Quiz 1 |
6 |
Monday, 1/28 |
§ 11.5: Equations of Planes |
7 |
Wednesday, 1/30 |
§ 11.6: Polar, Spherical and Cylindrical Coordinates |
8 |
Friday, 2/1 |
§ 12.1: Introduction to Vector Valued Functions and Parametric Equations, Quiz 2 |
9 |
Monday, 2/4 |
§ 12.1-2: More on Vector Valued Functions, Scalar Valued Functions, and their Calculus |
10 |
Wednesday, 2/6 |
§ 12.2-3: Integration, Arc Length and Curvature |
11 |
Friday, 2/8 |
§ 12.1: Tangent, Normal, Binormal Vectors, Normal and Osculating Planes, Quiz 3 |
12 |
Monday, 2/11 |
§ 12.1-2: More on T, N and B , Velocity, Acceleration, and their components |
13 |
Wednesday, 2/13 |
§ 12.2-3: Review for Exam 1
. Key 1 , Key 2 . Between these two keys, you'll have the solutions to the practice test.
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14 |
Friday, 2/15 |
EXAM 1
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15 |
Wednesday, 2/20 |
§ 13.1: Quadric Surfaces, Multivariable Functions |
16 |
Friday, 2/22 |
§ 13.2-3: Multivariable Limits, Introduction to Partial Differentiation |
17 |
Monday, 2/25 |
§ 13.3: Partial Differentiation and Linear Approximations |
18 |
Wednesday, 2/27 |
§ 13.4: The Chain Rule and the Implicit Function Theorem |
19 |
Friday, 2/29 |
§ 13.5: Directional Derivatives, Quiz 4 |
20 |
Monday, 3/3 |
§ 13.5-7: Generalized Tangent Planes, Second Order Partial Derivatives, Critical Points |
21 |
Wednesday, 3/5 |
§ 13.7-8: Local and Global Maxima and Minima, Lagrange Multipliers |
22 |
Friday, 3/7 |
§ 13.8: More on Lagrange multipliers, Quiz 5 |
23 |
Monday, 3/24 |
§ 14.1: Integration and Volumes over Rectangles |
24 |
Wednesday, 3/26 |
§ 14.1: Generalized Regions of Integration |
25 |
Friday, 3/28 |
§ 14.2: Introduction to Polar Coordinates, Quiz 6 |
26 |
Monday, 3/31 |
§ 14.2-3: Integration in Polar Coordinates, Centers of Mass |
27 |
Wednesday, 4/2 |
§ 14.4-5: Surface Areas, Intro to Triple Integrals |
28 |
Friday, 4/4 |
§ 14.5: More on Triple Integrals, Quiz 7 |
29 |
Monday, 4/7 |
§ 14.5: Triple Integrals in Cylindrical and Spherical Coordinates, Last year's Second Exam ; Last Semester's Practice Exam (courtesy of David Guichard) Keys are here, and here for the first part and here for the integration section. |
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30 |
Wednesday, 4/9 |
Review for Exam 2 |
31 |
Friday, 4/11 |
EXAM 2 |
32 |
Friday, 4/18 |
§ 14.7: Change of Variables and the Jacobian |
33 |
Monday, 4/21 |
§ 14.1, 15,1: More on the Jacobian, Introduction to Vector Fields |
34 |
Wednesday, 4/23 |
§ 15.2: Introduction to Line Integrals, Work |
35 |
Friday, 4/25 |
§ 15.3: Fundamental Theorem of Line Integrals, Quiz 8 |
36 |
Monday, 4/28 |
§ 15.4: Green's Theorem, Integrals around Closed Curves |
37 |
Wednesday, 4/30 |
§ 15.5: Review of Green's Theorem, div and curl |
38 |
Friday, 5/2 |
Surface Integrals and Stokes' Theorem, Quiz 9 |
39 |
Monday, 5/5 |
Review for Final. Practice Problems are Here |
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