Text: Calculus, Concepts & Contexts (2nd ed.) by Stewart.
Notes:
1. All students are expected to have a calculator like the TI-92+/Voyage 200, and are responsible for bringing it to class and exams. Students are also expected to use the Maple software issued on their computer. In the syllabus, references of the form C2Mx are to the C2 Maple Notes by Prof. Ed Moore. Use of Maple is expected on textbook problems followed by and M.
2. If you would like help in the course, you should first contact your instructor for extra instruction. If you instructor is not available, try the Math Lab (located in 3rd floor Preble this year), which is staffed six periods every class day by Mathematics Department instructors. Also, consider the Midshipman Group Study Program (MGSP). Under the MGSP, upper class midshipmen are available Sunday through Thursday evenings to help as you work on calculus problems in groups.
| lesson | section & topic | problems |
|---|---|---|
| 1 | Maple Notes: Calculus review and Maple introduction | C2MR Ex. 1,2,3,4; read C2M0 |
| 2 | 5.1 Areas and distances | p. 355: 2,3,4,9M; Deck Area Lab |
| 3 | 5.1 Continued | p. 355: 11,12,13,18 |
| 4 | 5.2 The definite integral | p.367: 1,5,6,8,12,13M,30 |
| 5 | 5.3 Evaluating definite integrals | p. 367: 32,36,41; p. 377: 2,6,9,15,30,37 |
| 6 | 5.3 Continued | p. 377: 39,52,57,60 |
| 7 | 5.4 Fundamental Theorem of Calculus | p. 386: 1,3,7,10,18,19,24 |
| 8 | 5.5 Substitution | p. 395: 1,2,8,9,16,19,23 |
| 9 | 5.5 Continued | p. 395: 27,28,37,40,50,58 |
| 10 | App. G, C2M2 Rational functions | p. A57: 1,2,6,7,9,13,14 |
| 11 | App. G Continued | p. A57: 16,17,23 |
| 12 | 5.6 Integration by parts | p. 401: 3,4,5,6,7,10,15 |
| 13 | 5.6 Continued | p. 401: 13,16,17,18,38,43 |
| 14 | 5.9, C2M3 Approximate integration | p. 425: 1,7,24,25; C2M3: 1 |
| 15 | 5.10 Improper integrals | p. 436: 1,6,11,23,40,47,55 |
| 16 | Review | |
| 17 | Hour Test 1 | |
| 18 | 6.1 Areas revisited | p. 452: 1,4,11,14,19,21,25 |
| 19 | 6.2 Volumes (disks) | p. 463: 2,5,7,9; Wing Lab |
| 20 | 6.2 Volumes (shells) | p. 463: 43,44,47 |
| 21 | Volumes continued | p. 463: 6,13,23,46 |
| 22 | 6.3 Arclength | p. 471: 2,5,7,12,18,23 |
| 23 | 6.4 Average value | p. 475: 1,2,9,12,13 |
| 24 | App. H.1, C2M6: Polar coordinates | p. A66: 1,3,8,22,25,31; C2M6: 2,3 |
| 25 | App. H.2: Area in polar coordinates | p. A72: 1,6,8,10,11,19 |
| 26 | 6.5 Work | p. 485: 2,4,7,9,12,13(a) |
| 27 | 6.5 Hydrostatic pressure | p. 485: 19,20,22,23 |
| 28 | 6.5 Center of mass | p. 485: 27,29,30,33 |
| 29 | Review | |
| 30 | Hour Test 2 | |
| 31 | 7.1 Modeling with DEs | p. 511: 2,5,7,9,14 |
| 32 | Modeling electric circuits | Circuit Problems 1,4,5,8,12 |
| 33 | 7.2, C2M8 Direction fields | p. 519: 1,2,5,7,9,10,11,17M |
| 34 | 7.2 Euler's method | p. 519: 19,20,22,27,28 |
| 35 | 7.3 Separable equations | p. 527: 1,9,11,21M |
| 36 | 7.3 Continued; DC Circuits | p. 527: 28,29; Circuit Probs. 1,2 |
| 37 | 7.4, C2M9 Exponential growth and decay | p. 538: 3,6,8,11 |
| 38 | Integrating factors, Decaying EMF | Circuit Problems 5,7 |
| 39 | AC Circuits | Circuit Problems 10,12 |
| 40 | Review | |
| 41 | Hour Test 3 | |
| 42 | 8.1 Infinite sequences | p. 571: 2,5,7,10,13,36 |
| 43 | 8.2 Series (esp. geometric & harmonic) | p. 580: 1,2,4,9,13,17,18,25,30,33 |
| 44 | 8.3/8.4 Comparison, alternating-series & ratio tests | p. 591: 10,19; p. 598: 1,2,5,7,8,12 |
| 45 | 8.4 Continued | p. 598: 16,20,22,24,25,31 |
| 46 | 8.5 Power series | p. 604: 1,2,4,5,7,12,15 |
| 47 | 8.6 Functions as power series | p. 610: 4,11,16,25,28 |
| 48 | 8.7 Maclaurin and Taylor series | p. 621: 4,5,8,10,19,20 |
| 49 | 8.7 Continued (omit Ex. 10) | p. 621: 31,32,35 |
| 50 | 9.1 Coordinate systems | p. 651: 5,7,8,14,16,24,27 |
| 51 | 9.2 Vectors | p. 659: 4,6,7,17,19,22,23,24 |
| 52 | 9.3 Dot product | p. 666: 1,2,5,6,8,9,10,14 |
| 53 | 9.3 Dot product | p. 666: 16,17,21,24,29,35 |
| 54 | 9.4 Cross product | p. 674: 1,3,5,7,12,18,Wrench lab |
| 55 | 9.4 Cross product | p. 674: 8,13,20,27 |
| 56 | Review | |
| 57 | Hour Test 4 | |
| 58 | Review for final | |
| 59 | Review for final |