Math 231-001 Calculus and Analytic Geometry III, Fall 2008 | Liberty University, Lynchburg Virginia |
James S. Cook, Assistant Professor of Mathematics Office Hours: M-T-W-R-F from 7:00am-9:00am and M-W-F from 2:45pm-3:45pm |
Applied Science 105 Email: jcook4@liberty.edu office phone: 434-582-2476 |
Matthew 7:7-8 |
Lectures and tests are in DeMoss Learning Center room 1107 Lecture Times: T-R 12:25pm - 1:40 pm |
Assignment | Due Date |
Homework Project 1 | Friday, Sept. 5 give hardcopy to me during office hours |
Test 1 | Tuesday, Sept. 11 |
Homework Project 2 | Friday, Oct. 17, give hardcopy to me during office hours |
Test 2 | Tuesday, Oct. 23 |
Homework Project 3 | Friday, Nov. 14, give hardcopy to me during office hours |
Test 3 | Tuesday, Dec. 2 |
Comprehensive Final Exam. | Dec. 10 from 10:30am-12:30pm |
Section # | My Notes | Due Date | Assignment | Description / Hints / Mathematica helps |
Sec. 13.1 | 236-239 | Aug. 21 | 7, 11, 13, 15, 20, 23-31(odds), 39, 40 | 3d-Cartesian Coordinates |
Sec. 13.2 | 240-250 | Aug. 26 | 4, 5, 7, 13, 17, 21, 24, 26, 29, 31, 35 | vectors |
Sec. 13.3 | 240-250 | Aug. 26 | 3, 5, 7, 9, 11, 13*, 17, 19, 21, 23, 29, 31, 35-40, 45, 57* | dot product |
Sec. 13.4 | 240-250 | Aug. 26 | 1, 3, 5, 7, 10, 20, 33, 39, 43 | cross product |
Sec. 13.5 | 251-256 | Aug. 26 | 3, 5, 7, 10, 11, 14, 16, 17, 18, 25, 26, 30, 31, 35, 40, 49, 55 | lines and planes |
Sec. 13.6 | 257-262 | Aug. 28 | 21, 23, 25, 27, 49* | functions of several variables |
Sec. 14.1 | 263-268 | Sep. 4 | 7, 9, 11, 13, 19, 23, 25*, 41, 42* | vector-valued functions |
Sec. 14.2 | 263-268 | Sep. 4 | 5, 9, 11, 13, 15, 16, 27-33, 35, 43, 45 | calculus of vector-valued functions |
Sec. 14.3 | 269-279 | Sep. 4 | 1, 13 | arclength and moving TNB-frame |
Sec. 14.4 | 280-283 | Sep. 4 | 9, 11, 13, 15, 19, 21*, 33, | motion in space |
. | . | Sep. 5 | Homework Project I | . |
Sec. 15.2 | 290-291 | Sep. 9 | 5, 7, 9 | limits and continuity |
Sec. 15.3 | 292-295 | Sep. 9 | 5, 15-38, 41, 43*, 45, 47, 49, 50, 51, 53, 55, 56, 61, 65, 70, 71 | basic partial derivatives |
Sec. 15.5 | 296-299 | Sep. 9 | 1, 2, 7, 8, 10, 11, 21, 22, 25, 38, 39, 40, 45, 53 | chain rule for several variables |
N/A | 300-305 | Sep. 9 | will give in lecture, see my notes for examples* | constrained partial differentiation |
Test I | . | Sep. 11 | Test I | . |
Sec. 15.4 | 311-313, 317-319 | Sep. 23 | 1, 3, 11, 17, 19, 25, 27, 29, 39, 42 | tangent plane and linearization |
Sec. 15.6 | 311-319 | Sep 23 | 5, 8-15, 20-22, 25, 29, 31, 38, 39, 43, 53 | directional derivative |
Sec. 15.7 | 320-324 | Sep 23 | 5, 7, 9, 14, 29, 33, 35, 45*, 49 | extrema in functions of several variables |
Sec. 17.6a | 402-406 | Sep. 30 | 1, 3, 4, 5, 6, 13, 19-26, 33-36(graph optional), | parametrized surfaces and surface area |
Sec. 16.2 | 330-342 | Oct. 7 | 3, 6, 7, 10, 12, 13, 15, 21, 25, 31 | basic double integrals |
Sec. 16.3 | 330-342 | Oct. 7 | 1, 3, 5, 7, 9, 11, 13, 16, 18, 19, 21, 33, 40, 41, 43 | double integrals over general regions |
Sec. 16.6 | 339-343 | Oct. 7 | 3, 5, 6, 7, 9, 10, 13, 19, 32 | basic triple integrals |
Sec. 16.9 | 343-359 | Oct. 14 | 1, 3, 4, 5, 6, 7, 10, 13*, 17a, 21 | the Jacobian |
Sec. 16.4 | 343-359 | Oct. 16 | 9, 10, 11, 13, 15, 16, 17, 19, 23, 25, 28, 31 | double integrals in polar coordinates |
. | . | Oct. 17 | Homework Project II | . |
Sec. 16.7 | 343-359 | Oct. 21 | 1, 3, 5, 7, 9, 11, 15, 17-20, 26*, 27 | triple integrals in cylindrical coordinates |
Sec. 16.8 | 343-359 | Oct. 21 | 1-27(odd), 36* | triple integrals in spherical coordinates |
Test II | . | Oct. 23 | Test II | . |
Sec. 13.1 | 360-365 | Nov. 4 | 1, 3, 5, 7, 15, 17, 21, 23, 24, 25, 29, 35 | vector fields |
Sec. 13.5 | 366-368, 369-372, 373-374 | Nov. 4 | 1, 3, 4, 5, 11, 12, 13, 15, 19-22, 30, 31, 32, 39(wildcard) | curl and divergence |
Sec. 13.2 | 385-394 | Nov. 11 | 1-5, 8, 11, 12, 15, 17, 18, 19-22, 39, 41, 42 | line integrals |
Sec. 13.3 | 395-401, 400-401 | Nov. 13 | 3, 5, 7, 11, 13, 17, 19, 21, 27, 28, 29-33, 34a | FTC for line integrals, conservative forces |
Sec. 17.6b | 402-406 | Nov. 13 | 37, 41, 43 | surface area |
Sec. 13.6 | 407-411 | Nov. 13 | 5, 7, 11, 14, 18, 21, 23, 29, 40*, 41, 43, 44, 47* | surface integrals |
. | . | Nov. 14 | Homework Project III | . |
Sec. 13.4 | 412-419 | Nov 18 | 1, 3, 5, 7, 9, 11, 29(wildcard) | Greene's Theorem |
Sec. 13.7 | 412-419 | Nov. 20 | 2, 3, 4, 5, 6, 7, 9, 10*, 16*, 17* | Stoke's Theorem |
Sec. 13.8 | 421-423 | Nov. 20 | 5, 7, 9, 10, 13, 17*, 23 | Divergence Theorem |
N/A | . | Nov. 20 | See handout "Added Vector Calculus" | additional problems in vector calculus |
Event | . | Nov. 24-28 | . | Thanksgiving Break |
Test III | . | Dec. 2 | Test III | . |
Final | . | Dec. 10 | 10:30am-12:30pm | comprehensive |