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.)