Math 212 |
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Calculus III |
Spring 2000 |
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MONDAY |
WEDNESDAY |
FRIDAY |
JANUARY 24--28 |
3-D coordinates Section 9.1 |
Vectors Section 9.2 |
The dot product Section 9.3 |
Jan 31--Feb 4 |
Cross Product Section 9.4 |
Equations of lines and planes Section 9.5 |
Equations of lines and planes Section 9.5 |
FEBRUARY 7--11 |
Functions and Surfaces Section 9.6 |
Cylindrical and spherical coordinates Section 9.7 |
Vector functions and space curves Section10.1 |
14--18 |
Derivatives and integrals of vector functions Section10.2 |
Arc length and curvature Section 10.3 |
Motion in space Section 10.4 |
21-25 |
Midterm 1 |
Parametric surfaces Section 10.5 |
Functions of several variables Section 11.1 |
Feb 28 -- March 3 |
Limits and continuity Sections 11.2 and A2 |
Limits and continuity Sections 11.2 and A2 |
Partial derivatives Section 11.3 |
MARCH 6--10 |
Tangent plane and linear approximation Section 11.4 |
Chain Rule Section 11.5 |
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March 11--19 |
RECESS |
20-24 |
Directional derivative and gradient Section 11.6 |
Maximum and minimum values Section 11.7 |
Lagrange multipliers Section 11.8 |
27-31 |
Slack |
Double integral over rectangles Section 12.1 |
Iterated integrals Section 12.2 |
APRIL 3 -- 7 |
Double integrals over general regions Section 12.3 Project due |
Applications of double integrals Section 12.4 |
Surface area Section12.6 |
10 --14 |
Triple integrals Section 12.7 |
Triple integrals in cylindrical and spherical coordinates Section 12.8 |
Slack |
17 -- 21 |
Midterm 2 |
Change of variables in multiple integrals Section 12.9 |
Vector fields Section 13.1 |
24 -- 28 |
Line integrals Section 13.2 |
Fundamental theorem for line integrals Section 13.3 |
Green's Theorem Section 13.4 |