MATH 413/513, Linear Algebra,
Spring 2018
 
Lectures:
  • MWF, 10:00--10:50, in PAS 418
  • Prof. Leonid Friedlander
    Room ENR2 S351
    (520)6212742
    http://math.arizona.edu/~friedlan
    Office hours M 12--12:50, W 11:00--11:50, and by appointment

Text: Linear Algebra, 4th edition, Friedberg, Insel, Spence

Webpage: http://www.math.arizona.edu/~friedlan /teach/413/page.html

Attendance and conduct: Students are expected to attend scheduled classes and to be familiar with the University Class Attendance policy as it appears in the General Catalog. It is the student's responsibility to keep informed of any announcements, syllabus adjustments or policy changes; all announcement will be made on the web page. Students are expected to behave in accordance with the Student Code of Conduct and the Code of Academic Integrity. The guiding principle of academic integrity is that a student's submitted work must be the student's own. University policies can be found at http://deanofstudents.arizona.edu/policiesandcodes.

Problem sets: Homework problems will be assigned on Wednesdays, and they are due the following Wednesday. Solutions of the problems must include detailed explanations. Answers with no explanations will not be counted. The proofs should be written in complete sentences.

Exams: Two midsemester tests given during class periods on February 28 and April 16 plus a two-hour final. The final exam will take place on Friday, May 4, from 10:30 to 12:30 p.m.. All electronic devices (cell phones included) must be turned off during all exams. Books, notes, computers, and calculators are not allowed on the exams.

Grading: The homeworks and the midsemester tests are worth 20 points each; the final exam is worth 40 points. This gives the total of 100 points. To pass the course one must get a passing grade for the final exam (20 or more). Those students who get 38 or more points for the final exam will get an "A" regardless of the homeworks and the midsemester tests. Otherwise, the grades will be not lower than in the following table:
A: 80--100 points,
B: 70--80 points,
C: 60--70 points,
D: 50--60 points,
E: 0--49 points.

Grade "I": The grade of "I" can be awarded only in an exceptional case to a student who has a valid reason for not completing the course in time, who has not completed a small portion of the course, and who has shown a passing performance in class. A request for the grade of "I" should be made before the final exam starts.

Announcements:
1. The deadline for the fifth homework assignment is postponed till Friday, February 23.
2. The deadline for the tenth homework assignment is postponed till Friday, April 13.

Problem sets:
1. Due on January 24: Section 1.1: 1, 2, 7; Section 1.2: 1, 7, 12, 13, 17, 21; Section 1.3: 1, 5, 8, 10, 12, 23, 25; Section 1.4: 2(a,b,f); 3(a,e), 5(c,f,h), 9, 10, 14, 15
2. Due on January 31: Section 1.5 2(a, d), 3, 10, 18, 19, 20; Section 1.6: 3(b,e), 4, 5, 8, 12, 13, 17, 22, 24, 30
3. Due on February 7: Section 2.1: 2, 4, 10, 13, 16, 18; Section 2.2: 4, 9, 11, 13, 16; Section 2.4: 2(c,f), 5, 7, 14, 15, 17
4. Due on February 14: Section 2.3: 2(b), 9, 11, 12, 13, 16, 17; Section 2.5: 2(b), 3(b), 4, 6(b), 7
5. Due on February 23: Section 2.6: 4, 5, 7, 8; Section 3.1: 9, 12; Section 3.2: 2(e,f), 5(g,h), 6(a,b,f), 14, 17, 19, 20
6. Due on March 2: Section 3.3: 4(b), 6, 8; Section 3.4: 2(d,f), 8, 9
7. Due on March 21: Section 4.2: 3, 4, 20, 22, 26, 27; Section 4.3: 10, 11, 12, 13, 20, 24
8 Due on March 28 : Section 5.1: 9, 17, 18, 22(a,b), 23; Section 5.2: 2(e,f: do problem (e) also over the field of complex numbers), 3(a,b), 7, 11
9. Due on April 4: Section 5.4: 6(b,d), 16, 17, 18, 23, 41, 42; Section 6.1: 2, 3, 5, 11, 24
10. Due on April 13: Section 6.2: 12, 14, 16, 19(c), 22; Section 6.3: 2(c), 3(c), 12, 13, 14
11. Due on April 27: Section 6.4: 6, 10, 11, 14, 17(a--d), 20, 21; Section 6.5: 2(c,d), 3, 5(a,d,e), 6, 7, 21