Honors Linear Algebra, Math 2270-3, Fall 2013

Syllabus

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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