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

None

HW (20% ) / Midterm exam (35%) / Final exam (45%)

(More than 8 absences will result in an automatic F grade. One recitation counts as half a lecture.)

Linear Algebra by Kwak and Hong, 2nd edition, Birkhäuser, 2004

Week 1 : 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
Week 6 : No class on Tuesday / 3.1
Week 7 : 3.2 / 3.3
Week 8 : Midterm exam
Week 9 : 3.4
Week 10 : 4.2 / 4.3
Week 11 : 4.4 / 5.1
Week 12 : 5.2 / 5.3
Week 13 : 5.4 / 5.5
Week 14 : 5.6 / 6.1
Week 15 : 6.2 / 6.3
Week 16 : Final exam

Online for the first 2 weeks, then offline for the remaining semester.
Offline class may transition to online class in the event of a COVID case.

Homework Sets:

1.3 / 21, 27, 28

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

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