Honors Linear Algebra, Math 2270-3, Fall 2013
Syllabus
Comments and Suggestions
Any comments and suggestions about this class are much appreciated!
You may either talk to me, or email me at
If you prefer to stay anonymous, please use the following
anonymous feedback form.
Announcements:
- (12/18) The grade is now posted and can be accessed through CIS.
7/12 got A. Congratulations for succeeding in this tough class.
I hope you have learned a lot! Have a wonderful winter break.
- (12/12) MT4 score distribution: 90-105:4, 80-89:3, 70-79:2, 60-69:1, 50-59:13, 30-39:1. Median is 82.5. 12 students participated in the exam. Exams will be returned on Friday 12/13.
- (12/3) The 4th midterm exam will be on Monday, 9th Dec.
This exam will cover Chapters 7+8 and Chapter 5 Section 6 on dual spaces.
- (11/27) Ch VII Section 1 #6: The functions in V are assumed to be
zero at 0 and 1.
- (11/25) MT3 score distribution: 90-100:2, 80-89:2, 70-79:2, 60-69:3, 50-59:3. Median is 73. 12 students participated in the exam.
- (11/11) MT3 is set to be on 18th Nov.
- (10/21) MT2 score distribution: 98-100:8, 80-89:1, 70-79:1, 50-59:2, 20-39:1. Median is 98. 13 students participated in the exam.
- (9/23) MT1 score distribution: 90-100:6, 80-89:2, 70-79:1, 60-69:2, 50-59:1, 30-39:2. Median is 86. 14 students participated in the exam.
- (9/15) Due to popular demand, the second midterm is moved to 11 Oct, the Friday right before the Fall Break. Please let me know if you have any problem with it.
- (9/9) The scanned pdf of Gaussian elimination. HW problems are Nos. 15 and 16 on the last page.
- (9/7) Here is a hint for Problem 4 in Section 1.4.
A direct product of 2 vector spaces U and W is a vector space whose elements are pairs (u, w), such that u belongs to U and w belongs W.
Now suppose {u_1, ... u_l} is a basis for U and {w_1, ... w_m} is a basis for W, prove the following statement.
{(u_1, O),... (u_l, O), (O, w_1), ..., (O, w_m)} is a basis for the direct product of U and W.
Note that (u_i, O) is an element in the direct product, and so is (O, w_j).
- (8/30) If you are interested in mathematics, you might consider going to undergraduate colloquia on Wednesdays 12:55-13:45. Free pizzas after each talk. For more details, consult the link above.
- (8/27) The textbook is sold out in the campus bookstore. You can get it from various online store, e.g. Amazon.
HW:
- Always read the textbook and lecture notes!
- (Due 9/4) Sect 1.1: 1-5, 9-13.
Sect 1.2: 1(a,c,e,g), 3-4, 5(a,c,e,g,i), 7-10.
- (Due 9/9) Sect 1.4: 1-4. (Review Chapter 1. Midterm is a week away!)
- (Due 9/16)
Sect 2.1: (matrices) 2, 4, 5, 8, 10; (dimensions) 1-2.
Sect 2.2: 1-2 + additional 2 problems stated in class.
Sect 2.3: 1, 3(c), 4, 8, 11, 17-19, 21, 35.
- (Due 9/30) Sect 3.2: 1(a-d), 2, 4.
Sect 3.3: 3-10.
Sect 3.4: 2, 7.
- (Due 10/11) Sect 4.2: 1, 2(a,b,c), 6.
Sect 4.3: 1, 2.
2 problems on finding the inverse matrices by Gauss elimination.
Sect 5.1: 2, 3.
- (Due 10/28) Sect 5.2: 0-5, 9.
Sect 5.3: 1(a,c,e,g), 2, 4(b,d), 5(b,d), 6.
- (Due 11/4) Sect 6.2: 1, 2.
Sect 6.3: 2(a,i), 3, 5.
Sect 6.7: 1-3.
Sect 6.8: 1(a,c,e), 2-4.
- (Due 11/13) Sect 6.4: 1(a,c).
Sect 6.9: 1, 3, 5.
Sect 5.4: 1-4.
Sect 5.6: 2-6.
- (Due 12/2) Sect 7.1: 1, 2, 6, 7. (See above for #6)
Sect 8.1: 1-4, 7.
Please start on Section 8.2! Happy Thanksgiving.
- (Due 12/9) Sect 8.2: 2, 4(a,c), 8 (d,f), 9-13.
Sect 8.4: 1, 3, 5, 6, 9(a,c,e), 21.
Coordinating Page