MATH 300, Section 1, Fall 2006
MATH 300, Fall 2006
Section 1
Instructor
Teaching Assistant
Laura Beltis
| Email: |
 |
Lecture Notes
Lecture Schedule
| Day & Time : |
Location: |
| MWF 12:20 - 1:10 |
LGRT 323 |
Discussion Schedule
Small group discussions are held at various times on Mondays, Tuesdays and Wednesdays in one of a number of smaller classrooms on the higher floors of the Lederle tower. Discussions are an essential aspect of the course, allowing students to meet with the TA (Laura) and talk about mathematics in a small setting. Students are required to choose a discussion section and attend every week. If you miss your discussion for any reason (e.g., school holiday, absence, etc.), you should attend another section. Homework will also be assigned and collected and quizzes will be given in discussion, so particular attention should be paid to attending discussions.
| Sec # |
Day |
Time |
Room # |
| 1 |
Tuesday |
11:15-12:05 |
LGRT 1114 |
| 2 |
Wednesday |
5:10-6:00 |
LGRT 115 (LGRT 113 on 11/15) |
| 3 |
Thursday |
11:55-12:45 |
LGRT 1114 |
| 4 |
Thursday |
2:30-3:20 |
LGRT 1234 |
Exam Schedule
|
When: |
Where: |
On What: |
Review Session: |
Practice Exams: |
| Midterm 1 |
Thursday, Oct. 12, 6:30 - 8:30pm |
LGRT 101 |
Pages 1-30 of the Notes |
Wednesday, Oct. 11, in class |
Practice Exam 1 |
| Midterm 2 |
Monday, 11/13, in class |
LGRT 323 |
My notes on Z and the two homework problem sets |
Friday, 11/10, in class |
| Midterm 3 |
Wednesday, Dec. 6, in class |
LGRT 323 |
Complex numbers |
Monday Dec. 4, in class |
| Final Exam |
Tuesday, Dec. 19, 8:00 - 10:00am |
LGRT 321 |
The entire semester |
Wednesday, Dec. 13, in class |
Practice Exam |
Homeworks and Quizzes
- Homework problem sets will be assigned and collected weekly. Late problem sets are subjected to 50% penalty.
- Quizzes will be given frequently in discussion sessions during the semester.
Grading
Your grade will be made up of the
following components:
- Three midterm exams - 15% each
- The final exam - 25%
- Homework - 15%
- Quizzes and discussion - 15%
The total of these scores will be converted into a letter grade by the
following scale:
| A: 88% - 100% |
C: 68% - 72% |
| A-: 85% - 88% |
C-: 65% - 68% |
| B+: 82% - 85% |
D+: 62% - 65% |
| B: 78% - 82% |
D: 55% - 62% |
| B-: 75% - 78% |
F: 0% - 55% |
| C+ 72% - 75% |
|
Goals for Math 300
I. Get some understanding and perspective on the general philosophy of mathematics from a mathematician's point of view.
II. Learn techniques of proof and the logic behind them.
III. Learn basic material for more advanced classes in analysis and algebra.
IV. Get practice in speaking mathematics and in giving proofs in front of class.
Basic Material to be covered
A. Set Theory and logic:
1. unions and intersections
2. sizes of sets (Notes)
3. countable and uncountable sets
4. 1-1 and onto functions
5. equivalence relations
6. basic logic of truth tables
7. implications and proofs
8. well-ordering principle and induction
B. Group theory:
1. definitions and basic properties of groups and subgroups
2. LaGrange's Theorem
3. homomorphisms, kernel, and image
4. Elementary number theory and the group Z (Notes, Notes on Iterated Division)
5. Application: Flipping a Coin over the Telephone Z (Notes)
C. Complex numbers: (Notes)
1. Definition and basic properties of complex numbers. (Notes coming soon)
D. Basic topology: (Notes)
1. Metric spaces.
2. Topological spaces.
3. Continuous functions.
See the official syllabus for more details.
Problem Sets
| Due Date |
Page Numbers |
Problems |
| 09/15 |
17-18 |
1,2,3,5,6,10,11,14,15,17 |
| 09/22 |
17-19 |
4,9,12,13,16,18,19 |
| 09/29 |
19-20 |
20,21,23,24,25(c,d),26,30,31 |
| 10/06 |
33 |
2,3,4,5,6,7,8,9,10,14 |
| 10/30 |
|
Problem set |
| 11/10 |
|
Problem set |
| 11/27 |
|
Problem set |
| 12/04 |
|
Problem set |
Last updated on Dec. 03, 2006.
