Wk. |
Reading |
Report Due by 4 PM |
Work (W)
ALL exercisesin reading, plus ... |
Hand In (HI) |
HI Due |

1 |
(Short Week) | ||||

2 |
ITM Ch. 12 thru p. 316ISM Append. BC |
not reqrd. | ITM 11-20, 12-9 |
ITM 11-21, 12-11ISM B.22defgProblem 0-1 |
W 1/10 |

All readings below from ISM | All problems below from ISM | All problems below from ISM | |||

3 |
p.vii, Ch. 1, 2. See
Reading Guide about Preface, Appendices, Ch. 1 |
Tu. 1/16 (1/15 holiday) |
1-7ab, 1-9, 1-11, 2-1, 2-7 |
1-7cd, 1-8, 2-3(bc), 2-6, 2-10 |
W 1/17 |

4 |
Ch. 3 | Sun. 1/21 | 3-1, 3-3, 3-8 | 3-5, 3-6, 7-2, 7-4 | W 1/24 |

5 |
Ch. 4 & some or all of Ch. 5 | Sun. 1/28 | 4-1, 4-6 | 4-4, 4-5, 4-7, 4-8, 4-12 | W 1/31 |

6 |
Finish Ch. 5; Ch 6: see Reading Guide |
Sun. 2/4 | 5-4, 5-6, 5-9 (3-5 isn't quite enough; what more is needed?) |
5-5, 5-10, 5-13, 5-17, 5-18 | W 2/7 |

7 |
Ch. 7 | Sun. 2/11 | None | Take-home midterm: now available atManifolds WSp18 Workspace. |
W 2/14 |

8 |
Ch. 8 | Tu 2/20 (2/19 holiday) |
7-11, 7-15, 7-17, & two group propositions |
7-13*, 7-14*, 7-18, 7-19, 7-20abc, 7-21abc** Note *Additions and **corrections |
W 2/21 |

9 |
Ch. 9: see Reading Guide | Sun. 2/25 | 8-3, 8-17, 8-19, 8-29 | 8-4, 8-9,
Modified 8-10, 8-25, 8-30 [read 20 as hint] |
W 2/28 |

10 |
finish/review Ch.9 Optional: 8-12 pp. of Ch. 10 |
Sun. 3/4 | 9-2 | 9-3ab, 9-4, 9-6, 9-7, 9-10ab Hard deadline! Maddie grading on 3/8. |
W 3/7 |

Exam |
Final Exam now available atWorkspace. |
Th 3/15 | |||

SP1 |
Ch. 10; Rec: Start Ch 11 | not reqrd. | No assignment | No assignment | |

2 |
Ch. 11 | Sun. 4/1 | Read 10-5, 10-6, & 10-13 | Show Lemma 2.26 false if R^k replaced by a smooth manifold N; 10-1, 10-7, 10-15, 10-16 |
W 4/4 |

3 |
Ch. 12 | Sun 4/8 | 11-13, 11-16, and
1 more; for more practice, 11-7, 11-9, 11-10(cd). If categorically inclined, see 10-3, 10-8, 11-3 &/or 11-18. |
11-1 (see
modification of b); 11-10(ab) - do (b) 2 ways, as in 11-9, 11-11, 11-14, 11-15, 11-17. |
W 11 |

4 |
Ch. 13 & 14: see Reading Guide | Sun 4/15 | 12-4, 8-13 & 13-23; may assume results of 13-12(ab) |
12-7, 12-11, 12-12, 13-13, 13-14 |
W 4/18 |

5 |
Finish Ch. 14 if not done before, Ch. 19 at least to p. 507 |
Sun 4/22 | 14-1; 14-7 as needed to be sure you can compute |
13-24, 14-5, 14-6, Exercise 14.31, p. 369 |
W 4/25 |

6 |
Ch. 20 | Sun 4/29 | 19-5; counterexample to converse in 19-7 | 19-2, 19-3, 19-6, 19-7, 19-12 | W 5/2 |

7 |
none | midterm (at Workspace) | W 5/9 | ||

8 |
Ch. 21 | Sun 5/13 | 20-4, 20-5 | 20-6 - also find pw-smooth curve Id to A; 20-10, 20-11 (check errata), 20-17, 20-20 |
W 5/16 |

9 |
Ch. 15, start Ch. 16, e.g. to mid p. 415 |
Sun 5/20 | 21-3, 21-12, 21-13; read if interested: 21-14 (alg. geom.), 21-21 thru 21-26 (Lie groups). 15-5, 15-15 |
21-16, 21-17, 15-3, 15-4 (check errata) |
W 5/23 |

10 |
Ch. 16 thru p. 427 start Ch. 17 |
Tues 5/29 | If interested in PDEs, read 16-14 thru 16-17. |
15-12, 15-13, 16-4, 5, 16-12 - in (c), let M = [a,b], what are u and v
for ∫_{a}?^{b} u dv |
F 6/1 |

Exam |
The Exam is posted at the
Workspace. |
Th 6/7 |

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