| Week |
Homework |
Reading Assignments |
Solutions |
| 1 |
Chapter 2 Ex.16 |
Sec 2.1, Sec 2.2, Appendix |
Solution 1, Weierstrass's proof, Berstein's proof |
| 2 |
Reinforce the understanding of Theorem 1.7 in the Appendix, Chapter 2 Ex.2 & Ex.9 |
Appendix, Sec 2.2, Sec 2.3 |
Solution 2 |
| 3 |
Chapter 2 Problem 1 |
Appendix Lemma 1.5, Sec 2.3, Sec 2.4 |
Solution 3 |
| 4 |
Chapter 2 Ex.15 & Problem 2, Chapter 1 Ex.10 |
Sec 2.5, Chapter 1 |
Solution 4 |
| 5 |
National Day Holiday and Mid-autumn Festival (No class) |
| 6 |
Chapter 2 Ex.13, Chapter 2 Problem 3 (Challenging, No Due) |
Sec 3.1, Chapter 1 |
Solution 5 |
| 7 |
Chapter 3 Ex.2, Ex.5, Ex.7, Problem 1 (Challenging, No Due) |
Sec 3.2 |
Solution 6 |
| 8 |
Chapter 3 Ex.11 Ex.16 |
Sec 4.1 |
Solution 7 |
| 9 |
No homework (Prepare for mid-term exams of other courses) |
Review what we have learned |
|
| 10 |
Mid-term Exam Week (No class) |
| 11 |
Chapter 4 Ex.4, Ex.7, Ex.10 |
Sec 5.1 |
Solution 8 |
| 12 |
Chapter 5 Ex.1, Ex.5, Ex.7 |
Sec 5.1, 5.2 |
Solution 9 |
| 13 |
Chapter 5 Ex.9, Ex.10, Ex.12 |
Sec 5.2, 5.3 |
Solution 10 |
| 14 |
Chapter 5 Ex.11, Ex.14, Ex.15 |
Sec 5.3, 5.4 |
Solution 11 |
| 15 |
Chapter 5 Ex.21, Ex.22 |
Preview the definition of (abelian) groups, homomorphism, and character |
Solution 12 |
| 16 |
Chapter 7 Ex.1, Ex.3, Ex.10, Ex.11 |
Search the Internet for some applications of FFT (Fast Fourier Transform) |
Solution 13 |
| 17 |
Chapter 7 Ex.5, Ex.8, Ex.9 |
Sec 7.2 |
Solution 14 |
| 18 |
Chapter 7 Ex.12, Ex.13 |
Sec 7.2, Chapter 6 |
Solution 15 |
| 19 |
No homework (Good luck for your final exams of other courses) |
Chapter 6 |
|
| 1 (Spring term) |
Chapter 6 Ex.2, Ex.4, Ex.5 |
Sec 6.3 |
Solution 16, Some detailed discussions on the volume and surface area of an n-dimemsional hypersphere (Supplementary materials for Exercise 4. I retrieved from the Internet. Yikun Zhang) |