Calc 3 Schedule
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Andover High School: Spring 2006 All
Homework from FDWK: Calculus a Complete course (2nd ed). NOTE: the dates
are only estimates and our actual pace may be faster or slower.
Class Date |
Topics |
Section |
Assignments Due |
| 2/1 (Wed) Meeting 1 | Cartesian Coords & Vectors | 11.1 | p.583: 1,11,13,19,33,41,43,49,51 |
| Dot Products
Cross Products |
11.2
11.3 |
p.591: 3,7,13,15,23,45f,46
p.599: 3,9,15,21,31 |
|
| 2/8 (Wed) Meeting 2 | Lines and Planes | 11.4 | p.605: 1,3,7,15,17,21,41,45 |
| Cylinders and Cylindrical coordinates
Quadric Surfaces |
11.5
11.6 |
p.613: 1,19,23,27,29
p.623: 1,3,7,11,15,21,35 |
|
| 2/13 (Mon) Meeting 3
|
Vector Functions and Space Curves
Arc Length and unit Tangent |
12.1
12.2 |
p.641: 5,9,17,27,35,38
p.648: 1,5,15,22 |
| Curvature, Torsion and TNB Frame | 12.3 | p.658: 1,5,7,11,19,30 | |
| 2/15 (Wed) Meeting 4 | Planetary Motion | 12.4 | |
| Functions of Several Variables, | 13.1 | p.683: 1,3,9,11,27,31,35 | |
Limits and Continuity |
13.2 |
|
|
| 3/1 (Wed) | Take Home Exam due. | ||
| 3/1 (Wed) Meeting 5 | Partial Derivatives | 13.3 | p.701: 5,7,19,23,33 |
| Tangent Planes and Linear Approximations | 13.4 | p.712: 1,9,21,27 | |
| 3/ 6 (Mon) Meeting 6 | The Chain Rule | 13.5 | p.721: 1,9,13,19,23,25 |
| Directional Derivatives, Gradient Vectors | 13.6 | p.733: 3,7,9,15,21,25,31 | |
| Extreme Values | 13.7 | p.743: 1,11,15,29 | |
| 3/8 (Wed) Meeting 7 | Lagrange Multipliers | 13.8 | p.754: 5,9,23 |
| Double integrals | 14.1 | p.771: 1,5,9,21,25,31,35,45
|
|
| Area Moments, Centers of Mass | 14.2 | p.781: 1,3,9,11,15,19,35 | |
| 3/22 (Wed) Meeting 8 | Midterm Exam | ||
| Double integrals in Polar Coordinates | 14.3 | p.788: 1,3,5,9,15,21,25 | |
| Triple Integrals in Rectangular Coords | 14.4 | p.796: 9,15,21,27,39 | |
| 3/27 (Mon) Meeting 9 | Masses and Moments in 3-D | 14.5 | p.802: 5,13 |
| Triple Integrals in Cylindrical and Spherical Coords. | 14.6 | p.812: 25,27,37,45,53,63 | |
| 4/24 (Mon) Meeting 10 | Substitutions in Multiple Integrals | 14.7 | p.823: 5,9,11,17,19 |
| Line Integrals | 15.1 | p.833; 1,3,5,9,19,27 | |
| 4/26 (Wed) Meeting 11 | Take Home Exam due. | ||
| Special Guest Lecture: Dan Klain, of UMass Lowell | 15.2 | p.843: 1,3,15,19,21 | |
| Vector fields, Work, Circulation and Flux | 15.2 | p.843: 1,3,15,19,21 | |
| Path Independence, Potential Functions and Conservative Fields | 15.3 | p.853: 1,7,15,19,36 | |
| 5/3 (Wed) Meeting 12 | Green’s Theorem in the plane | 15.4 | p.864: 1,5,15,17,19 |
| Surface Area and Surface Integrals | 15.5 | p.875: 1,6,19,21,25,27 | |
| 5/10 (Wed) Meeting 13 | Parametrized surfaces | 15.6 | p.884: 1,5,13,17,35,39 |
| Stokes's Theorem | 15.7 | p.894: 1,5,10, 26 | |
| 5/17 (Wed) Meeting 14 | Divergence Theorem and Review | 15.8 | p.905: 1,2,5,9,29 |
| 5/24 (Wed) Meeting 15 | Final Exam |
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