Math 415: Applied Linear Algebra

Bert Guillou

email: bertg illinois edu
Phone: (217) 244-0286
Office: 330 Illini Hall
Office Hours: Wednesday 2-3.

Tutoring hours: M-Th 5-7PM in 347 Altgeld and M-Th 7-9PM in 243 Altgeld

Course Info
Grades (not including final course grade)
Note: The second exam has been curved. So if your second exam grade appears as, for example, 74<81/100, this means a raw score of 74, which gets curved to an 81.

Fourier polynomials for f(x)=x and g(x)=0 for x≤π and g(x)=1 for x>π.

Schedule

Assignment Date
Lecture 1: 1.1, 1.2
Suggested Homework: 1.1: 1, 2, 3, 8, 15, 17, 25, 26; 1.2: 1, 2, 4, 5, 8, 12, 19
Aug. 24
Lecture 2: 1.3, 2.1
Suggested Homework: 1.3: 1, 4, 5, 6; 2.1: 5, 6, 7, 9, 12, 16, 20
Aug. 26
Lecture 3: 2.2, 2.3
Suggested Homework: 2.2: 3, 4, 6, 8, 10, 11, 12, 19; 2.3: 1(a,b), 2, 3, 4, 16, 24, 25
Aug. 28
Quiz 1: 1.1, 1.2, 1.3, 2.1 Aug. 28, in class
Lecture 4: 2.3, 2.4, 2.5
Suggested Homework: 2.4: 1, 5, 6, 11, 14, 20, 24, 32, 33; 2.5: 1, 7, 8, 9, 14, 22, 23, 24, 27
Aug. 31
Lecture 5: 2.5, 2.6
Suggested Homework: 2.6: 6, 7, 12, 15, 16, 23
Sept. 2
Lecture 6: 2.6 Sept. 4
Quiz 2: 2.2-2.5 Sept. 4, in class
Lecture 7: 2.7
Suggested Homework: 2.7: 2, 9, 11, 13, 20, 22
Sept. 9
Lecture 8: 3.1
Suggested Homework: 2.7: 30, 31, 32;
3.1: 1, 2, 3, 6, 7, 8
Sept. 11
Quiz 3: 2.6-2.7 Sept. 11, in class
Lecture 9: 3.1, 3.2
Suggested Homework: 3.1: 9, 10, 12, 13, 17, 19, 20, 23, 29; 3.2: 5, 6, 7, 9, 13, 14, 15, 17, 18
Sept. 14
Lecture 10: 3.2, 3.3
Suggested Homework: 3.2: 22, 23, 24;
3.3: 8, 12, 17, 18, 19, 20, 25
Sept. 16
Lecture 11: 3.3, 3.4
Suggested Homework: 3.4: 3, 4, 13, 14, 15
Sept. 18
Quiz 4: 3.1-3.3 Sept. 18, in class
Exam 1 (1.1-3.4) Sept. 23, in class
Lecture 12: 3.4, 3.5
Suggested Homework: 3.4: 16, 17, 22, 24, 25;
3.5: 2, 5, 9, 11
Sept. 25
Lecture 13: 3.5, 3.6
Suggested Homework: 3.5: 13, 24, 26, 31;
3.6: 1, 11, 13, 16
Sept. 28
Lecture 14: 3.6, 4.1
Suggested Homework: 3.5: 16, 20, 32;
3.6: 2, 6, 17;
4.1: 6, 7, 11, 12
Sept. 30
Quiz 5: 3.4-4.1 Oct. 2, in class
Lecture 15: 4.1, 8.2
Suggested Homework: 4.1: 17, 19, 25, 28;
8.2: 1, 2
Oct. 2
Lecture 16: 8.2
Suggested Homework: 8.2: 6, 7, 8, 13
Oct. 5
Lecture 17: 4.2
Suggested Homework: 4.2: 1, 3, 5, 6, 7
Oct. 7
Quiz 6: 4.1, 4.2, 8.2 Oct. 9, in class
Lecture 18: 4.2
Suggested Homework: 4.2: 11, 13, 16, 17, 23
Oct. 9
Lecture 19: 4.3, 4.4
Suggested Homework: 4.3: 1, 2, 3, 5, 6, 7, 8;
4.4: 1, 3, 4a, 9a
Oct. 12
Lecture 20: 4.4
Suggested Homework: 4.4: 11, 15, 18, 21, 22, 30
Oct. 14
Lecture 21: 5.1
Suggested Homework: 5.1: 1, 7, 8a, 9, 14, 15, 22
Oct. 16
Quiz 7: 4.2, 4.3, 4.4 Oct. 16, in class
Lecture 22: 5.2, 5.3
Suggested Homework: 5.2: 11, 12, 15, 16, 19;
5.3: 1, 2, 6, 8
Oct. 19
Exam 2 (3.5-4.4, 8.2) Oct. 23, in class
Lecture 23: 5.3, 6.1
Suggested Homework: 6.1: 1, 2, 4, 6, 8, 12, 21
Oct. 26
Lecture 24: 6.2
Suggested Homework: 6.2: 2, 4, 13, 16, 17, 19, 21, 25, 26
Oct. 28
Lecture 25: 6.2 Oct. 30
Quiz 8: 5.1, 5.2, 5.3, 6.1, 6.2 Oct. 30, in class
Lecture 26: 6.3
Suggested Homework: 6.3: 1, 4, 5, 18, 19, 21, 23, 25
Nov. 2
Lecture 27: 6.4
Suggested Homework: 6.4: 3, 4, 5, 8, 15, 19, 21
Nov. 4
Lecture 28: 6.5
Suggested Homework: 6.5: 1, 2, 3, 7, 16, 21, 28
Nov. 6
Quiz 9: 6.2, 6.3, 6.4 Nov. 6, in class
Lecture 29: 6.5, 6.6
Suggested Homework: 6.5: 4, 5, 27; 6.6: 5, 6, 8, 10, 12, 17
Nov. 9
Lecture 30: 6.6, 6.7 Nov. 11
Lecture 31: 6.7
Suggested Homework: 6.7: 1, 4, 6, 7, 11
Nov. 13
Quiz 10: 6.5, 6.6 Nov. 13, in class
Exam 3 Nov. 18, in class
Lecture 33: 7.1, 7.2
Suggested Homework: 7.1: 3, 4, 7, 12; 7.2: 5, 6
Nov. 20
Lecture 34: 7.2
Suggested Homework: 7.2: 1, 3, 4, 14, 17, 20, 21, 29
Nov. 30
Lecture 35: 7.2, 7.3
Suggested Homework: 7.3: 1, 5, 6
Dec. 2
Lecture 36: 8.5
Suggested Homework: 8.5: 1, 2, 4, 6
Dec. 4
Quiz 11: 7.1, 7.2 Dec. 4, in class
Lecture 37: 8.5
There are links to graphs of Fourier polynomials near the top of the page.
Suggested Homework: 8.5: 8, 9a, 12, 13
Dec. 7
Lecture 38: 10.3 Dec. 9
FINAL EXAM!! Dec. 18, 8:00-11:00 AM

 Department of Mathematics College of Liberal Arts and Sciences University of Illinois at Urbana-Champaign 273 Altgeld Hall, MC-382 1409 W. Green Street, Urbana, IL 61801 USA Department Main Office Telephone: (217) 333-3350 Fax (217) 333-9576