Fall 2014
General Information
Syllabus and Homeworks
Exams
Syllabus
What follows is a tentative syllabus for the class. It is subject to change.The homeworks are due in lecture, on the day specified below (typically, on Th).
| Week of | Topic | Notes | Homework | Due date |
| 8/25 | 1.1-1.4 | 1.2: 12, 14, 21 1.3: 8, 12, 23, 28 1.4: 2 (a), (b); 5(a), (b); 10 |
Th, Sep 4 | |
| 9/1 | 1.5 | No classes on 9/1, 9/2 | 1.5: 2 (c), (e), (f); 5; 7; 17 | Th, Sep 11 |
| 9/8 | 1.6, 2.1 | 1.6: 7, 9, 14, 29a 2.1: 3, 4, 6, 11, 17 |
Th, Sep 18 | |
| 9/15 | 2.2-2.4 | 2.2: 2(a), (d), (f); 2.3: 3(a), 9, 16(a), 17; 2.4: 2(a), (c), (f), 3, 6, 9, 16, 17 |
Th, Sep 25 | |
| 9/22 | 2.4-2.6 | 2.5: 3(c)(d), 4, 6(a)(c), 11 2.6: 3, 8, 13(a)(b), 20 (you can assume vector spaces are finite-dimensional) |
Th, Oct 2. | |
| 9/29 | Midterm I | For more info about midterm, click on "Exams" on the left. |
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| 10/6 | 3.1,3.2 | 3.2: 2(a)--(e), 5 (d), (e), 14, 17, 21 | Th, Oct 16 | |
| 10/13 | 3.3-3.4 | 3.3: 4, 8 3.4: 2 (a)--(c),3,4, 7 |
Th, Oct 23 | |
| 10/20 | 4.1-4.2 | 4.1: 4 (a),(b); 10 4.2: 15, 16, 17, 18; 23; 25; 28 |
Th, Oct 30 | |
| 10/27 | 4.3,4.5 | 4.2: 5, 7 4.3: 12, 14, 20, 21, 24. Optional: 22 a, c 4.5: 16 |
Th, Nov 6 | |
| 11/3 | 5.1,5.2 | 5.1: 3, 8, 9, 14, 21 5.2: 8,10,12 |
Th, Nov 13 | |
| 11/10 | Midterm II | Tu, 11/11: review Th, 11/13: midterm |
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| 11/17 | 5.4 | 5.2: 2 (b), (c), (e), (f); 7; 14(a); 18 and extra problem below. 5.4: 12; 19; 25 (you can use withotu proof resutls of exercise 24). |
Th, Dec 4 | |
| 11/24 | 7.1 | 11/26-11/30: Thanksgiving break | ||
| 12/1 | 7.1, 7.2 |
Extra problem for Section 5.2: using the ideas discussed in class, deduce a general formula for the n-th term of the sequence cn defined by c1=c2=1, cn+1=2cn+cn-1.