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  |  |  |   | 1 |  |  |  | 1. Ex. 2, 4, 19-21 on pp. 457. 2. Ex. 11, 12 on pp. 451. |  |   |  |  |   |  |  |   | 2 |  |  |  | 1. Ex. 1-28, pp. 555. 2. Ex. 1-4, 8, 13, pp. 460. 3. Ex. 5-10, 12, pp. 467. |  |   |  |  |   |  |  |   | 3 |  |  |  | 1. Read section 16.18. 2. Ex. 1-3, 5, 6, 10, pp. 613. 3. Ex. 17-20, pp. 468. |  |   |  |  |   |  |  |   | 4 |  |  |  | 1. Ex. 5-8, 10, pp. 477. 2. Ex. 8-10, pp. 482. 3. Ex. 1, 2, 4-11, pp. 603-604. |  |   |  |  |   |  |  |   | 5 |  |  |  | 1. Let M_1 and M_2 be two non-parallel 2-planes in V_4. What can be the intersection? Give examples to illustrate the possibilities. 2. Read pp. 612 on finding the inverse matrix. 3. Ex. 12-15, pp. 614. |  |   |  |  |   |  |  |   | 6 |  |  |  | 1. Compute the determinants and the inverses (where exist) of the matrices in ex. 2, 6, 7, 8 on pp. 604. 2. Show that the determinant of a matrix is equal to the determinant of its transpose in 2x2 and 3x3 cases. Discuss the general case. Deduce that the columns of a square matrix are linearly independent if and only if the rows are. |  |   |  |  |   |  |  |   | 7 |  |  |  | 1. Ex. 2, 7, 8, 13, 15 on pp. 516. 2. Read section 14.6. 3. Ex. 1-5, 7 on pp. 524. 4. Ex. 1-7, 11, 17 on pp. 535. |  |   |  |  |   |  |  |   | 8 |  |  |  | Review Linear Algebra for the Quiz. |  |   |  |  |   |  |  |   | 9 |  |  |  | 1. Read Section 14.20. 2. Ex. 5-10 on pp. 528. 3. Ex. 1, 4, 5 on pp. 539. |  |   |  |  |   |  |  |   | 10 |  |  |  | 1. Ex. 1, 7, 8 on pp. 251-252. From now on use T. Apostol, Calculus, vol. II. 2. Ex. 1-13 on pp. 255-256. |  |   |  |  |   |  |  |   | 11 |  |  |  | 1. Read Sections 8.13 and 9.9. 2. Ex. 1-4, 7, 11 on pp. 262-263. 3. Ex. 1, 3-6 on pp. 268. |  |   |  |  |   |  |  |   | 12 |  |  |  | 1. Read Ex. 1 and 3 in Section 8.21. 2. Ex. 2-7, 10, 11 on pp. 276. |  |   |  |  |   |  |  |   | 13 |  |  |  | 1. Ex. 1-6 on pp. 302. 2. Ex. 1-12 on pp. 313. |  |   |  |  |   |  |  |   | 14 |  |  |  | 1. Ex. 1-7 on pp. 328. 2. Read Section 10.8. 3. Ex. 1, 2, 7-9 on pp. 331-332. |  |   |  |  |   |  |  |   | 15 |  |  |  | 1. Read Section 10.14 and examples in 10.16. 2. Ex. 2-6, pp. 336-337. 3. Ex. 1-8, 13 pp. 345. |  |   |  |  |   |  |  |   | 16 |  |  |  | 1. Ex. 17, 18 on pp. 346. 2. Review Line Integrals (Ch. 10). |  |   |  |  |   |  |  |   | 17 |  |  |  | 1. Read Section 11.8 (examples) and the proof of Thm. 11.9 on pp. 367. 2. Ex. 1-5, 9, 10 on pp. 362. 3. Ex. 1-4, 8 on pp. 371-372. |  |   |  |  |   |  |  |   | 18 |  |  |  | 1. Read Section 11.16. 2. Ex. 1-6, on pp. 377. 3. Ex. 1-3, 11, 12 on pp. 414. |  |   |  |  |   |  |  |   | 19 |  |  |  | 1. Read Section 10.20. 2. Ex. 1, 2, 5, 6, 7 on p. 385. |  |   |  |  |   |  |  |   | 20 |  |  |  | 1. Ex. 1-3, 5 on pp. 391. |  |   |  |  |   |  |  |   | 21 |  |  |  | 1. Read Section 11.27 (examples). 2. Ex. 1-7, 10, 11 on pp. 399-400. |  |   |  |  |   |  |  |   | 22 |  |  |  | 1. Ex. 1-4, 6, 7, 10-12 on pp. 413-414. 2. Ex. 1-5, 7, 8 on pp. 424. 3. Read Examples 1, 2 on pp. 427-428. 4. Ex. 1-6 on pp. 429. |  |   |  |  |   |  |  |   | 23 |  |  |  | 1. Ex. 1-6 on pp. 436-437. |  |   |  |  |   |  |  |   | 24 |  |  |  | 1. Read Sections 12.11 and 12.19. 2. Ex. 1-3, 5-7 on pp. 442. 3. Ex. 1, 2, 4, 5 on pp. 462. |  |   |  |  |  
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