# Math 320 – Linear Algebra I

## Linear Algebra by Jim Hefferon. The book and the solutions are freely available here: http://joshua.smcvt.edu/linearalgebra/ ftp://joshua.smcvt.edu/pub/hefferon/book/book.pdf ftp://joshua.smcvt.edu/pub/hefferon/book/jhanswer.pdf

Supplemental text (not required):

Linear Algebra by Lipschutz (Schaum’s Outline Series).

Time and location: MWF AH 306 9-9:50 AM

Call Number: 16474

Instructor: Fred Thulin, 426 SEO, 312.413.7872, fthulin @ uic.edu

Office Hours: 10-11 MWF and by appt.

TA: Jim Freitag; hours 5-6 WTh in the MSLC (430 SEO)

Grading: There will be two hour exams (100 points each), a number of quizzes (about 11, total 100 points) and a comprehensive final exam (200 points), for a total of 500 points. Homework from the text will be assigned but not collected (for now), since the solutions are available with the text. There may be some future homeworks collected.

Qizzes: Quizzes will be given normally on Fridays in non-exam weeks.

## Exams:

Week 6: Exam 1, Friday 2/17.

Week 12: Exam 2, Friday 4/6.

Final exam: 10:30-12:30 Tuesday, May 1

Homework problems (For most problems solutions should be written down, but not turned in):

Week 1:

One.I.1, pp. 8-11, ## 1.16, 1.17, 1.19, 1.21, 1.22
One.I.2,
pp. 18-20, ## 2.15, 2.16, 2.17, 2.18, 2.20, 2.21, 2.23, 2.30

One.I.3, pp. 29-30, # 3.15

One.III.1, pp. 51-52, ## 1.7, 1.8, 1.9, 1.10

One.III.2, p. 59, # 2.11

Week 2:

Two.I.1, pp. 86-88, ## 1.18(a,c), 1.19(a,c), 1.20(d), 1.21(a,c), 1.26(a), 1.40

Two.I.2, pp. 95-96, ## 2.20(a,d), 2.22(a,c), 2.24, 2.25(a,c), 2.26(a,d)

Week 3:

Two.II.1, pp. 106-108, ## 1.18(a,c), 1.19(b,d), 1.24, 1.28, 1.29

Two.III.1, pp. 114-116, ## 1.16(b,c), 1.17, 1.18, 1.19, 1.24(b,d), 1.28(a,c),  1.33

Week 4:

Two.III.2, pp. 120-121, ## 2.15, 2.18(b), 2.21, 2.22

Two.III.3, pp. 127-128, ## 3.16(a,c), 3.17(a), 3.18(a), 3.19, 3.20(b), 3.21(a,c), 3.24, 3.28

Week 5:

Two.III.4, pp. 135-136, ## 4.20(a,d), 4.21, 4.23, 4.26, 4.34

Three.I.1, pp. 164-165, ## 1.11, 1.13, 1.14, 1.19, 1.26

Week 7:

Three.I.2, pp. 172-173, ## 2.8, 2.12, 2.14
Three.II.1, pp. 179-180, ## 1.17(a,c), 1.18(b,c), 1.19
Three.II.2, pp. 190-191, ## 2.22, 2.23(a,b), 2.24(a,c)

Week 8:

Three.III.1, pp. 200-202, ## 1.14, 1.15, 1.16, 1.22, 1.26
Three.III.2, pp. 207-208, ## 2.9(b,c), 2.10, 2.11, 2.13, 2.18

Three.IV.1, pp. 212-213, ## 1.8, 1.13, 1.14, 1.15

Week 9:

Three.IV.2, pp. 218-219, ##  2.14, 2.16, 2.17
Three.IV.4, pp. 234-235, ##  4.14, 4.16, 4.18, 4.19

Three.V.1, pp. 239-240, ## 1.6, 1.7(b,d), 1.8(b,d), 1.9(a,c), 1.10(b,c), 1.11

Week 10:

Three.V.2, pp. 245-246, ## 2.10, 2.12

Four.I.1, pp. 295-296, ## 1.1(a,b), 1.4(c), 1.5(b), 1.7, 1.8

Four.I.2, pp. 299-300, ## 2.7(a,b), 2.9, 2.13, 2.16

Week 11:

Four.I.3, pp. 308-309, ## 3.22, 3.27, 3.33
Four.Cramer's rule, pp. 330-331, ## 1, 2, 4

Five.II.1, pp. 352-353, ## 1.4, 1.6, 1.10, 1.11

Week 13:

Five.II.2, pp. 356-357, ## 2.7(a,b), 2.8, 2.9, 2.17

Five.II.3, pp. 362-364, ## 3.20(a,b,c,e), 3.21, 3.22, 3.23, 3.24(a), 3.28, 3.34, 3.37(a,b), 3.42

Three.VI.2, pp. 256-258, ##2.9(a,b), 2.10(a), 2.12, 2.16, 2.17, 2.19

Week 14:

Five.IV.1, pp. 384-385, ## 1.13, 1.14(a,b,c,e), 1.16, 1.23

Five.IV.2, pp. 396-397, ## 2.19, 2.21(a,b,c,e), 2.22, 2.24