Math 415 - Applied Linear Algebra

Fall 2010, Section D1
Instructor: Martin Frankland

Course syllabus

Grades

Students registered for the class can view their grades here. You will need your NetID and password.

Tutoring

There is tutoring 4 days a week. This is the place to go for questions about class material, homework, quizzes, or just to do your homework.

5-7 PM, Monday through Thursday, 4101 MSEB
7-9 PM, Monday through Thursday, 343 Altgeld Hall

Calendar

Homework consists of the bold and underlined problems and will be collected in class, at the beginning of the Friday lecture. Other problems are only for practice and should not be turned in.

Quizzes happen during the last 15-20 minutes of the Friday lecture.
 
Week #
Date
Topics covered
Problems
Quiz info
Week 1
Monday Aug 23 Section 1.1 Problems 1.1: 1a, d, 2, 3a, d, 4, 5a, d, 6a, e, g, 7, 8, 9, 10, 11. Homework 1 due August 27.  
Wednesday Aug 25 Section 1.2 Problems 1.2: 1, 2a, c, f, 3c, d, f, 4, 5e, k, 6b, 7, 8, 9, 10, 13. Homework 1 due August 27.  
Friday Aug 27 Section 1.3 Problems 1.3: 1 (e, f), 2b, c, d, 4c, 5, 9, 10, 11, 13. Homework 2 due September 3. Quiz 1: 1.1, 1.2
Week 2
Monday Aug 30 Section 1.3, 1.4 Problems 1.4: 1, 2, 3, 4, 5, 7, 9, 12, 13 (c), 14, 17, 21. Homework 2 due September 3.  
Wednesday Sep 1 Section 1.5 Problems 1.5: 1, 2, 3b, c, 4 (b), 5, 7, 8a, 9, 10c, f, h, 15, 16, 17. Homework 2 due September 3.  
Friday Sep 3 Section 1.5 Not graded but recommended: Chapter Test 1A: 1, 2, 9, 10; Chapter Test 1B: 1, 3, 4, 6, 8, 10. Quiz 2: 1.3, 1.4, 1.5
Week 3
Monday Sep 6 Labor Day NO CLASS  
Wednesday Sep 8 Section 2.2, 2.1 Problems 2.2: 1, 2, 3c, d, f, 4, 5, 6, 7, 9, 10, 12. Homework 3 due September 10.  
Friday Sep 10 Section 2.1 Problems 2.1: 1, 2, 3c, d, g, h, 4, 5, 6, 11. Homework 4 due September 17. Quiz 3: 1.5, 2.2, 2.1
Week 4
Monday Sep 13 Section 2.3 Problems 2.3: 1,(c), 2d, 3, 4, 5, 6, 7, 9, 14. Homework 4 due September 17.  
Wednesday Sep 15 Review Chapter Test 2B: 2, 4, 5, 6, 7, 9, 10. Homework 4 due September 17.  
Friday Sep 17     Exam 1: Chapters 1 and 2
Median 60/70; Average 85%
Week 5
Monday Sep 20 Section 3.1 Problems 3.1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11. Homework 5 due September 24.  
Wednesday Sep 22 Section 3.2 Problems 3.2: 1, 2, 3, 4 (a, b, c), 5, 6, 8, 9a, b. Homework 5 due September 24.  
Friday Sep 24 Section 3.2, 3.3 Problems 3.2: 11a-d, 12, 13. Problems 3.3: 1a, c, d, 2 (a, b, e), 3a, d, e, 4 (b, c), 5, 6, 8, 9b, c, 14, 15. Homework 6 due October 1. Quiz 4: 3.1, 3.2
Week 6
Monday Sep 27 Section 3.3, 3.4 Problems 3.4: 1a, c, d, 2 (a, b, e), 3, 4, 5, 7, 8, 9, 10, 11, 12, 14. Homework 6 due October 1.  
Wednesday Sep 29 Section 3.4, 3.5 Problems 3.5: 1 (a, b), 2 (a, b), 3 (a, b), 4, 5, 6. Homework 6 due October 1.  
Friday Oct 1 Section 3.5 Problems 3.5 Homework: 6, 7, 8, 9. Practice: 5, 10. Homework 7 due October 8. Quiz 5: 3.2 (end), 3.3, 3.4, 3.5 (beginning)
Week 7
Monday Oct 4 Section 3.6 Problems 3.6 Homework: 1, 3, 7. Practice: 2, 4, 5, 6, 8, 9. Homework 7 due October 8.  
Wednesday Oct 6 Section 4.1 Problems 4.1 Homework: 1a,c,e, 3, 4, 6b,d. Practice: 1b,d, 2, 5, 6a,c, 7, 8, 9. Homework 7 due October 8.  
Friday Oct 8 Section 4.1, 4.2 Problems 4.1 Homework: 17. Practice: 13, 14, 16.
Problems 4.2 Homework: 1a,c,e, 2, 3. Practice: 1b,d, 4. Homework 8 due October 15.
Quiz 6: 3.5, 3.6, 4.1
Week 8
Monday Oct 11 Section 4.2 Problems 4.2 Homework: 5c,d, 6, 7, 8a,b.i. Practice: 5a,b, 8b.ii-iii. Homework 8 due October 15.  
Wednesday Oct 13 Review Chapter Test 4B Homework: 1, 2, 3, 4, 6. Practice: 5, 9. Homework 8 due October 15.  
Friday Oct 15     Exam 2: Chapters 3 and 4, up to 4.2. Review sheet.
Median 52/70; Average 75%
Week 9
Monday Oct 18 Section 4.2 (Application 1), 4.3 Problems 4.2 Homework: 9, 10a,d. Practice: 10b,c.
Problems 4.3 Homework: 1a,c. Practice: 1b,d,e. Homework 9 due October 22.
 
Wednesday Oct 20 Section 4.3, 5.1 Problems 4.3 Homework: 2, 3. Practice: 4, 5.
Problems 5.1 Homework: 1c,d, 2c,d, 3c,d. Practice: 1a,b, 2a,b, 3a,b. Homework 9 due October 22.
 
Friday Oct 22 Section 5.1 Problems 5.1 Homework: 5, 6, 8b, 9, 10. Practice: 4, 7, 8a,c, 11, 12. Homework 10 due October 29. Quiz 7: 4.2 (Application 1), 4.3, 5.1 (beginning)
Week 10
Monday Oct 25 Section 5.2 Problems 5.2 Homework: 1c,d, 2, 3, 6, 9. Practice: 1a,b, 4, 5, 7, 8. Homework 10 due October 29.  
Wednesday Oct 27 Section 5.3 Problems 5.3 Homework: 1b, 2 (for 1b only), 3b, 4 (for 3b only), 5. Practice: 1a,c, 6, 7, 9. Homework 10 due October 29.  
Friday Oct 29 Section 5.4 Problems 5.4 Homework: 2, 7, 8, 9. Practice: 1, 6, 33. Homework 11 due November 5. Quiz 8: 5.1, 5.2, 5.3
Week 11
Monday Nov 1 Section 5.5 Problems 5.5 Homework: 1, 2, 3, 5, 6. Practice: 4, 7. Homework 11 due November 5.  
Wednesday Nov 3 Section 5.5 Problems 5.5 Homework: 8, 9, 21a,b.ii, 22a,b.ii*. Practice: 11, 12, 15, 21b.i/iii, 22b.i/iii, 29. Homework 11 due November 5.
*The book writes R(A) for the range of A, i.e. the column space.
 
Friday Nov 5 Section 5.6 Problems 5.6 Homework: 1b, 2 (for 1b), 3, 4. Practice: 1a, 2 (for 1a), 7, 8. Homework 12 due November 10 (not 12!).
Notes on the QR factorization.
Quiz 9: 5.4, 5.5
Week 12
Monday Nov 8 Section 6.1 Problems 6.1 Homework: 1b,c,f,h,k, 2, 3. Practice: rest of 1, 4, 6. Homework 12 due November 10 (not 12!).  
Wednesday Nov 10 Review Practice exam and solutions  
Thursday Nov 11 Extra review Additional review session: 4-5 PM in room 245 Altgeld.  
Friday Nov 12     Exam 3: 4.3 - 6.1
Median 52/60; Average 83%
Week 13
Monday Nov 15 Section 6.2 Problems 6.2 Homework: 1b,c, 2a,c, 3. Practice: 1d,f, 2d, 4. Homework 13 due November 19.  
Wednesday Nov 17 Section 6.2 Problems 6.2 Homework: 1e, 2b, 6. Homework 13 due November 19.  
Friday Nov 19 Section 6.3 Problems 6.3 Homework: 1c,d, 2 (for 1c,d), 3 (for 1d), 4b. Practice: rest of 1-2-3, 4a. Homework 14 due December 3. Quiz 10: 6.2
Week 14
Monday Nov 22 Thanksgiving break    
Wednesday Nov 22 Thanksgiving break    
Friday Nov 24 Thanksgiving break    
Week 15
Monday Nov 29 Section 6.3 Problems 6.3 Homework: 6, 7, 8a,c,e,f. Practice: rest of 8. Homework 14 due December 3.  
Wednesday Dec 1 Section 6.4 Problems 6.4 Homework: 5e,f,g, 15b,c (replace "unitary" with "orthogonal" if you want). Homework 14 due December 3.
Notes on diagonalizing symmetric matrices
 
Friday Dec 3 Section 6.5 Chapter test 6 for practice: Part A #1-8, Part B #1, 3, 4, 8a,b,c. Quiz 11: 6.3, 6.4
Week 16
Monday Dec 6 Review Practice final and solutions  
Wednesday Dec 8 Review. Last day of class.    
Wednesday Dec 8 Extra review Additional review session: 4-5 PM in room 165 Noyes Lab.  
Friday Dec 10 NO CLASS    
  Thursday Dec 16 Final, 8:00-11:00 AM, in class (156 Henry)   Final: Cumulative, with emphasis on chapters 5 and 6.
Median 99/110; Average 86.7%