Math 116
2010-2011 Spring- Syllabus
Lectures:
Section 01: Semra Pamuk, Monday : 11:40-12:30, M-103 Wednesday: 13:40-15:30 M-103
Section 03: David A.Pierce, Monday : 13:40-15:30, M103 Wednesday: 12:40-13:30 M-103
Section 02: Sergey Finashin, Monday : 12:40-13:30, M-104
Wednesday: 13:40-15:30 M-104
Section 04: Ebru Solak, Monday: 09:40-10:30, M-106
Wednesday: 10:40-12:30 M-106
|
Tentative Outline of The Course |
|
Week |
Topics |
Section |
1. |
Divisibility Prime Factors and G.C.D. |
2.3 2.4 |
2. |
Congruence of Integers Congruence Classes |
2.5 2.6 |
3. |
Binary Operations Matrices |
1.4 1.5 |
4. |
Groups Subgroups |
3.1 3.2 |
5. |
Cyclic Groups Isomorphisms Homomorphisms |
3.3 3.4 3.5 |
6. |
Permutation Groups |
4.1 |
7. |
Normal Subgroups Quotient Groups |
4.4 4.5 |
8. |
Rings and Subrings |
5.1 |
9. |
Ideals and Quotient Rings Ring Homomorphisms |
6.1 6.2 |
10. |
Integral Domains and Fields The Field of Real Numbers Complex Numbers and Quaternions |
5.2 7.1 7.2 |
11. |
Polynomials Over a Ring |
8.1 |
12. |
Divisibility and G.C.D. |
8.2 |
13. |
Factorization in F[x] |
8.3 |
14. |
Zeros of a Polynomial |
8.4 |
Exams and Grading:
30 pts-Midterm1: April 7, 2011 (Thursday) at 17:40
30 pts-Midterm2: May 3, 2011 (Tuesday) at 17:40
40 pts-Final : TBA
Only one Make-up Exam will be given to those students who, for good reasons (must be provided with documents: medical report etc.), miss any of the examinations.
Textbook: Elements of Modern Algebra, Jimmie Gilbert & Linda Gilbert, 5th. Edition, Brooks/Cole 2000.
(Five copies are available in the reserve section of the library Call no: QA162 G527 2000.)