Math 12 - Calculus Plus - Fall 2010
Dartmouth College
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Lecture | Date | Section in Text | Brief Description |
---|---|---|---|
Day 1 | Wed. Sept. 22 | 13.1-13.3 | Three-dimensional coordinate systems, vectors, dot product |
Day 2 | Fri. Sept. 24 | 13.4, handout on matrices | Cross Products in three dimensions; matrices |
Day 3 | Mon. Sept. 27 | 13.5 | Equations of planes and lines |
Day 4 | Wed. Sept. 29 | 14.1 - 14.2 | Curves, vector functions, their derivatives and integrals |
Day 5 | Fri. Oct. 1 | 14.3 - 14.4 | Arc length, velocity and acceleration |
Day 6 | Mon. Oct. 4 | 15.1 - 15.2 | Fuctions of several variables, their limits and continuity |
Day 7 | Wed. Oct. 6 | 15.3 -15.4 | Partial derivatives, tangent planes and linear approximations |
Day 8 | Fri. Oct. 8 | Handout on linear transformations | Linear transformations |
Day 9 | Mon. Oct. 11 | Handout on representing matrices | Representing linear transformations by matrices |
Day 10 | Wed. Oct. 13 | Handout on derivative | The derivative as a matrix (Jacobian) |
Day 11 | Fri. Oct. 15 | 15.5 | Chain Rule |
Day 12 | Mon. Oct. 18 | 15.6 | Directional derivative and gradient |
Day 13 | Wed. Oct. 20 | 15.7 | Maxima and minima |
Day 14 | Fri. Oct. 22 | 16.1 - 16.2 | Double integrals over rectangles, iterated integrals |
Day 15 | Mon. Oct. 25 | 16.3 | Double integrals over general regions |
Day 16 | Wed. Oct. 27 | 16.4 | Triple Integrals |
Day 17 | Fri. Oct. 29 | 16.6 and class notes | Change of Variables formula, examples using linear transformations and polar coordinates |
Day 18 | Mon. Nov. 1 | 16.7, 16.8 and 16.9 and class notes | Change of variables formula for triple integrals, examples using cylindrical and spherical coordinates |
Day 19 | Wed. Nov. 3 | 17.1 - 17.2 | Line integrals and vector fields |
Day 20 | Fri. Nov. 5 | 17.3 | The fundamental theorem for line integrals |
Day 21 | Mon. Nov. 8 | 17.3 | The fundamental theorem of line integrals |
Day 22 | Wed. Nov. 10 | 17.4 | Green's Theorem |
Day 23 | Fri. Nov. 12 | 17.5 | Curl and divergence |
Day 24 | Mon. Nov. 15 | 17.6 | Parametric surfaces and their area |
Day 25 | Wed. Nov. 17 | 17.7 | Surface integrals |
Day 26 | Fri. Nov. 19 | 17.8 | Gauss Divergence Theorem |
Day 27 | Mon. Nov. 22 | 17.8 | Stokes Theorem |
Day 28 | Mon. Nov. 29 | No section in book | Wrap up |
Day 29 | Wed. Dec. 1 | No section in book | Wrap up |