Spring 2010 Course Page

(612) 625-2861

*section 11, 9:05 A.M. - 9:55 A.M., Tu,Th, Rapson Hall 47*,- Nicholas Switala, 456 Vincent Hall, (612) 625-3056

*section 12 , 9:05 A.M. - 9:55 A.M., Tu,Th, Vincent Hall 20*,- Joel Gomez, 360 Vincent Hall, (612) 625-4392

*section 13, 10:05 A.M. - 11:00 A.M., Tu,Th, Folwell Hall 208*,- Patrick Campbell, 520 Vincent Hall, (612) 624-2329

*section 14, 10:10 A.M. - 11:00 A.M., Tu,Th, Peik Hall 155*,- Chung-I Ho, 422 Vincent Hall, (612) 625-8553

**Office Hours**: Students can attend the office hours of the lecturer or any discussion instructor (TA).

- Professor H. Keynes, 4 Vincent Hall, Friday 10:30-12:30pm
- Nicholas Switala, 502 Vincent, Wednesday 1:00-2:00pm & Thursday 11:00am-12:00pm
- Joel Gomez, 502 Vincent Hall, Tuesday 11:00am-12:00pm & Wednesday 3:30-4:30pm
- Patrick Campbell, 502 Vincent Hall, Thursday 12:00-1:00pm & Monday 4:00-5:00pm
- Chung-I Ho, 502 Vincent Hall, Monday 2:30-3:30pm & Tuesday 3:00-4:00pm

**Textbook: ***Sequences, Series and Foundations*,

by Wayne Richter (available at Alpha Print, 1407 Fourth Street SE, Dinkytown, 612-379-8535).

The goal of this course is to gain a precise understanding of mathematical analysis for sequences and series, including the ability to read and construct proofs. This sort of analysis is helpful in many important areas of pure and applied mathematics. Reading and reflection, problem-solving, and practice in writing out mathematical expositions are all essential aspects of the course. For more details see the Student Goals Sheet.

**Grading procedure :** The grade for this course is based on four components:

- 3 Semester Exams - 40%
- Final Examination - 20%
- Regular homework - 20%
- Professional Problem Assignments - 20%*

** *Note:** Since Math 3283 is a writing-intensive course it is necessary to have satisfactory performance (equivalent to C or better) on the professional problem assignments, in order to pass the course.

**Homework policies:** There will be two types of homework:

(a) 6 Regular Assignments based on textbook

lecture notes, each worth 30 pointsand

(b) 5 Professional Problems (the writing intensive component), each worth 20 points

You may discuss homework problems with your classmates. However, when you write up your solutions, you ** must** do this on your own. Collaboration while writing or handing in homework that is almost identical to a classmate's is a form of cheating and may result in a reduced score or a score of zero.

You are allowed 1 late homework, which must be turned in by Wednesday Noon after the due date. Other late homework will be accepted only under unusual circumstances and only if arrangements have been made in advance with the course lecturer.

Point scores for homeworks (both professioanl and regular problems) will be based on a combination of correct content and clear justifications. The score on each professional problem will also be based on clear and correct spelling and exposition.

**Course Content **

The lectures are considered a central part of the course, equal to the reading assignments. New and different material may be presented, including different examples and exercises. You are responsible in the homework assignments and the examinations for material presented in lecture.

The reading assignments are equally important. It will greatly benefit you if you read the materials * in advance* of the lecture presentations.

Both the lecture and the reading assignment have exercises to help you improve your understanding. Many of the homework problems will be taken from these exercises. You should do some of these exercises in advance of the homework assignments.

**Office Hours and Questions **

Office hour times will be posted on this page after the start of classes. Students can attend the office hours of the lecturer or any discussion instructor (TA). You can also make appointments to see them at other times.

Questions: Contact your TA first; if necessary, contact the instructor.

**General Information for this course: **

**Student Conduct:**Academic honesty and respect for others are required in every course. Students are expected to follow the university policy on student conduct. Instructors and students are expected to follow the university policy on class expectations.

**Incompletes: **The Department policy is: *The grade of "I" is assigned when a student has satisfactorily completed all but a small portion of the work of the course and has made arrangements to make up the work. You cannot get a grade of "I" just because you are behind in your work or it appears that you are failing the course.*

Week 1 - Set Theory Handout; Lecture Notes

Week 2 - Homework #1, Lecture Notes

Week 3 - Professional Problem #1, Homework #1 Solutions, Lecture Notes

Week 4 - Prerequisites from Calculus Notes, Homework #2, Lecture Notes

Week 5 - Homework #2 Solutions, Professional Problem #1 Solution, Lecture Notes

Week 6 - Homework #3, Lecture Notes

Week 7 - Professional Problem #2, Homework #3 Solutions, Lecture Notes

Week 8 - Homework #4, Extra Problems/Notes, Lecture Notes, Lecture Notes Supplement

Week 9 - Professional Problem #2 Solution, Homework #4 Solutions, Lecture Notes

Week 10 - Homework #5, Lecture Notes

Week 11 - Professional Problem #3, Homework #5 Solutions, Lecture Notes

Week 12 - Homework #6, Professional Problem #3 Solution, Lecture Notes

Week 13 - Homework #6 Solutions, Professional Problem #4, Lecture Notes , Additional Lecture Notes

Week 14 - Professional Problem #5-corrected, Additional notes on Set Theory, Professional Problem #4-Solution

Week 15 - Week 15 Lecture Notes, Professional Problem #5-Solution

**Exam Solutions:
**Solutions for Exam #1

Solutions for Exam #2

Solutions for Exam #3