Covered topics include: systems of linear equations, matrices, vector spaces, eigenvalues & eigenvectors, differential equations, and quadratic forms.

None

Homework (20% ) / Midterm exam (40%) / Final exam (40%)

(More than 7 absences will result in an automatic F grade.)

This lecturer would provide lecture notes and slides as references.

week 1: 1.1, 1.2, 1.3, 1.4
• week 2: 1.5, 1.6
• week 3: 2.1, 2.2
• week 4: 2.3, 2.4
• week 5: 2.6, 3.1
• week 6: 3.2, 3.3
• week 7: 3.4, 4.1
• week 8: Midterm (4/12)
• week 9: 4.2, 4.3
• week 10: 4.4, 5.1
• week 11: 5.2, 5.3
• week 12: 5.4
• week 13: 5.5, 5.6
• week 14: 6.1, 6.2
• week 15: 6.3
• week 16: Final (6/7)

Lecture + Recitation

Problem Sets:

1.4 / 2, 5, 7, 17, 27, 39, 58

1.3 / 21, 27, 28

1.5 / 7, 9, 11, 17, 19

1.6 / 12, 13a, 16, 32, 39

2.1 / 2, 5, 25, 29

2.2 / 4, 5, 21, 27, 36, 56

2.3 / 4, 23, 32, 36, 41

2.4 / 2, 9, 10, 15, 17

2.6 / 2, 11, 14, 18, 20, 21, 25, 30, 48, 50

3.1 / 3, 5, 9, 13, 15, 16, 18, 19, 33a, 38

3.2 / 2, 9, 11, 12, 17b

3.3 / 1, 14, 15, 20, 23

3.4 / 1, 4, 6, 7, 9, 15, 16, 23, 30, 32

4.2 / 2, 4, 5, 7, 13, 16, 18

4.3 / 3, 4, 11

4.4 / 1, 14

5.1 / 1, 6, 7, 8, 9, 10, 25, 38

5.2 / 3, 4, 6, 8, 9, 16, 36, 38

5.3 / 1, 28

5.4 / 1, 2, 7, 9, 10, 16, 36

5.5 / 4, 7, 9

5.6 / 8, 12, 20, 28, 31, 33; Appendix B / 2, 4

6.1 / 8, 15

6.2 / 8, 9, 10, 22, 26, 34, 36

6.3 / 14, 19, 20

TA Recommendation:

1.3 / 12,13,21,22,23,25,27,28,32

1.4 / 2,5,6,7,9,16,17,18,19,20,21,27,28,29,35,36,39,40,45,46,47,48,53,58

1.5 / 4,7,9,10,11,12,17,18,19,21,23,25,29,31,32,42,44

1.6 / 1,2,3,4,5,6,7,9,10,11,12,13a,14,16,18,20,21,23,25,28,29,31,32,36,37,38,39,41,49,50,51,52,54,56,57,59,60

2.1 / 2,3,4,5,6b,7,8,10,11,18,19,20,22,24,25,26,27,28,29

2.2 / 2,3,4,5,6,8,12,21,26,27,29,30,34,35,36,40,41,43,45,49,54,56

2.3 / 3,4,7,8,9,15,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,35,36,37,41,45

2.4 / 1,2,3,6,8,9,10,13,15,16,17,23,27

2.6 / 1,2,3,4,5,8,9,11,12,14,18,19,20,21,24,25,26,27,30,31,35,38,42,47,48,50

3.1 / 2,3,5,6,7,8,9,10(typo: R^2->R^3),11,13,14,15,16,17,18,19,20,24,25,26,27,28,31,33,34,35,36,38,39,40,41,44,45,47

3.2 / 2,5,7,8,9,10,11,12,17b,19,20,22,25

3.3 / 1,4,5,6,9,10,11,12,13,14,15,16,17,18,20,21,22,23,26

3.4 / 1,3,4,6,7,8,9,10,11,12,14,15,16,20,23,28,30,32

4.2 / 2,3,4,5,7,8,9,13,16,18,19,21,23,26,27,28,29

4.3 / 1,3-4,11,13,14,20,24,27,35a,b,42

4.4 / 1,2a,5,7,14,18,20,21,27,29,32,34,35

5.1 / 1,3,4,6,7,8,9,10,15,16,18,19,20,22,23,24,25,27,28,30,31,38

5.2 / 1,3,4,5,6,8,9,10,13,14,15,16,17,20,22,23,24,26,27,36,38,39,40,41,42

5.3 / 1,6,8,9,10,12,20,24,25,27,28

5.4 / 1,2,5,6,7,9,10,11,14,16,19,21,23,25,30,35,36,37,38,39(typo:36->35),40,41,43

5.5 / 4,7,9,15,19,20,22,25,26,30,31,32,33,34,35,39,41,42,43,44,50

5.6 / 1,2,4,8,11,12,16,19,20,23,28,31,32,33,37; Appendix B / 2,4,5,6

6.1 / 2,3,5,8,9,10,11,13,14,15,16,17(pay special attention to whether columns are linearly independent),18,20,21,22

6.2 / 1,2,3,5,6,7,8,9,10,12,13,14,16,19,21,22,23,24,25,26,27,28,30,31,32,34,36

6.3 / 1(A is given in (b)),2,3,6,7,9,10,11,14,15,16,18,19,20,22,23