MATH 347 F1 at MWF 2:00-2:50 in 149 Henry Bld.

Extra office hours after the end of lectures: Dec 13th: 2-3:30pm, Dec 14th: 2:30-4pm, Dec 17th: 2:30-4pm.

This course will be significantly different from freshmen math courses. The solutions to the problems will require more creativity and effort, and in particular, it will not be possible to succeed in this course merely by memorizing the techniques you see in class or in the textbook. To be able to solve the problems in this course, it is hightly recommended that you participate actively in lectures, and put in a lot of effort into solving the homework problems on your own before discussing with others.

We will definitely cover Chapters 1-4, Chapter 13, and half of Chapter 14 of the text. Depending on time, we may also cover about two more chapters chosen from the text.

You can discuss the homework problems with others, but you must write up solutions independently, on your own. This is important practice, and will help you do well in the exams in this course, and in your future math courses. No late assigments will be accepted; however, your lowest two homework scores will be dropped.

Homework: | 20% |

Midterms: | 15% each, 45% total |

Final Exam: | 35% |

Be sure to consult the syllabus for homework policies, especially with regards to collaboration, write-up standards and submission. Turn in homework at the beginning of Monday's lecture.

Assignment 1 (due Wednesday Sept. 5th): 1.4, 1.7, 1.8, 1.22, 1.25, 1.28. Do not use calculus to solve any of the problems.

Assignment 2 (due Monday Sept. 10th): 1.15, 1.30, 1.39, 1.41 b) and d).

Assignment 3 (due Monday Sept 17th): 2.5, 2.10 c),d) and e), 2.11, 2.18, 2.28, 2.44.

Assignment 4 (due Monday Sept 24th): 3.3, 3.10, 3.15, 3.22, 3.24, 3.26.

Assignment 5 (shorter due to Midterm, due October 1st): 3.8, 3.40, 3.44.

Assignment 6 (due October 8th): 3.56, 3.62, 1.46, 1.49b), d) e), 1.50, 1.51b).

Assignment 7 (due Oct 15th): 1.47a), 2.26, 4.5, 4.6, 4.13, 4.21 (For this problem, you need to prove the existence of a certain bijection - you can either define a function explicitly and prove that it is a bijection, or you can proceed by induction on n. For either method, looking at small values of n should be helpful.)

Assignment 8 (due Oct 22nd): 4.8, 4.10 (assume that the domain and target are both the real numbers), 4.11, 4.22, 4.24, 4.34.

Assignment 9 (due date extended to Oct 31 - shorter due to midterm): 4.43, 4.45, 4.49 (you may assume here that the given sets are mutually disjoint).

Assignment 10 (due Monday, November 5th): 6.2, 6.3, 6.7.

Assignment 11 (due Monday, November 12th): 6.8, 6.11, 6.17, 6.18, 6.23, 6.40.

Assignment 12 (due Monday, November 26th): 13.1, 13.5, 13.8, 13.11, 13.19, 13.20.

Assignment 13 (due Wednesday, December 5th): 13.6, 13.12, 13.25, 13.26, 13.30, 14.3.

Assignment 14 (last homework! Due Wednesday, December 12th): 13.29, 13.37, 14.4, 14.12, 14.14, 14.33.

- Preface for the student.
- The first 3 sections of Chapter 1, and "How to approach problems" section in Chapter 1.
- All of Chapter 2.
- All of Chapter 3.
- The fourth section of Chapter 1.
- All of Chapter 4.
- The first two sections of Chapter 6 (pg 123-129).
- All of Chapter 13, as it is covered in class.
- The first 3 pages of Chapter 14, the first two pages of the infinite series section (pg. 279), Lemma 14.27 and Example 14.28 (as it is covered in class).

Times:

347 F1 - 12/15/2012, 1:30-4:30pm, in our classroom.

347 X1 - 12/18/2012, 7:00-10:00pm, in our classroom.

Here's a sample final. Also, take a look at the two extra problems which I couldn't fit into the sample final.