Course Portfolio

Faculty of science

mathematics Department

COURSE NAME: / Abstract Algebra
COURSE NUMBER: / M / A / T / H / 3 / 4 / 3
SEMESTER/YEAR: / 2ed semester / 2007
DATE: / 17/2/2007

PART II

COURSE SYLLABUS

Chapter 1: Review of course 242

Chapter 2: Direct Product of Groups

Chapter 3: Finite Commutative Groups

Chapter 4: The Class-Equation and Cauchy's Theorem

Chapter 5: Sylow's Theorems and Applications

Chapter 6: More Applications

Chapter7: Rings


Instructor Information

Name of the instructor: / Rola Hijazi
Office location: / Room:160 c / Building: 7
Office hours: / Sat / Sun / Mon / Tue / Wed
Time / 9.5-11 / 9.5-11
Contact number(s): / 63635-63368
E-mail address(s): /
Instructor’s profile (optional):
A welcome letter to the student (optional):

Course Information

Course name: / Abstract Algebra (II)
Course number: / 343
Course meeting times: / Sat / Sun / Mon / Tue / Wed
Time / 8-9.5 / 8-9.5
Place: / Room:2154 / Building:7
Course website address: / www.kau.edu.sa/rhijazi
Course prerequisites and requirements: / Course name / Course number
Abstract Algebra (1) / 242
Description of the course:
(what, why, philosophy, teaching methodology) / 1. Direct Product of Groups: In this section we study (External and Internal) products in the category of groups. Decompose the group Zn.
2. Finite Commutative Groups: The task of this section is to generalize important theorem given in the first section . We decompose any finite commutative groups instead of Zn .
3. The Class Equation and Cauchy Theory: In this section we develop the class equation of a finite group and this depends on defining an equivalence relation andon a set G measures the size of the equivalence classes under this relation and then equates the number of elements in the set to the sum of the orders of these equivalence classes.
4.Sylow Theorems: Sylow's Theorems are a first basic step in understanding the structure of an arbitrary finite group. In this section we understand Sylow's Theorems and gives many Applications.
5.More Applications: Octic group and Quaternion group.

Course Objectives:

Constructing groups. Describing the structure of certain groups in terms of particular subgroups. Splitting any commutative group into a direct product of a finite number of indecomposable cyclic subgroups. Finding all non-isomorphic commutative groups of any finite order. Counting the order of any finite group using the Class Equation. Proving Cauchy Theorem and solving problems. Understanding the structure of any arbitrary finite groups which are more complicated than finite commutative groups using Sylow's Theorem and its Applications.

¡ (A statement of what the student will know and be able to do as the result of learning)
Students in this course will be able classify up to isomorphism all commutative groups.
Knowing the structure of any finite group .
Applying Sylow's theorems for all finite groups.
¡ (A statement on how they will be expected to demonstrate their learning)
Proving theorems , solving problems and doing small project as application of the last chapter.

Learning Resources

Textbooks: / Title: Abstract and Linear Algebra
Author: David M. Bruton
Publisher:
Found in:Library of Faculty Science
Title:A First course in Abstract Algebra
Author: John B. Fraliegh
Publisher:
Found in: Library of Faculty Science
Reading material:
Lab guide: / Title:
Author:
Publisher:
Found in:
E-resources:
The computer usage:
(if it applies)
Software needed:
Lab location:
Lab hours:
Safety precautions:
Instructions for use:

Course Requirements and Grading

Student assessment:
(A clear rationale and policy on grading) / Test one 25% Test two 25% Quizzes 10% Final 40% total 100%.The letters grading systems (A B C D F ) will be used in this course . A = Excellent work .B= Good work. C = Acceptable work. D= Marginally acceptable work. F= Unacceptable work.
Expectations from students:
(Attitudes, involvement, behaviors, skills, and ethics) / The student must be quite during lectures .The student must respect the teacher as well as other students in the same class .The student must be cooperative and helpful with others.
Student responsibilities to the course: / They all must be actively involved in the class
First ,they must attend .Second they must share our thoughts. Students must do all home work. Students must attend all tests and quizzes.
Expectations for each assignment and project:
Important rules of academic conduct:
Lab plan and assignments:
(if it applies)

6. Detailed Course Schedule

(Included templates of tables for course schedule and practical sessions)

Course Schedule Model
(meeting two times a week)
Week # / Date / Topic / Reading Assignment / What is Due? /
1 / Feb. 25 / Review of Course 242 / Chapter 1 / Getting lecture notes
Feb 27 / Internal Direct product / Chapter 2
2 / Mar.4 / Internal Direct product / Chapter 2
Mar.6 / Internal Direct product / Chapter 2
3 / Mar. 11 / Internal Direct product / Chapter 2
Mar.13 / Internal Direct product / Chapter 2
4 / Mar. 18 / Solving problem 1 / Chapter 2 / Home work 1
Mar. 20 / Finite Commutative Groups / Chapter 3
5 / Mar. 25 / Finite Commutative Groups / Chapter 3
Mar. 27 / Finite Commutative Groups / Chapter 3
6 / Apr. 1 / Solving problems 2 / Chapter 3 / Homework 2
Apr. 3 / Class Equation / Chapter 4
7 / Apr.8 / 20 ربع أول / First Exam / دوري أول / Ch. 2 +Ch. 3
Apr. 10 / Class Equation / Chapter 4
8 / Apr. 15 / Concepts of Conjugate, centralizer
Apr. 17 / Class Equation / Chapter 4
9 / Apr. 22 / Cauchy Theorem (1),(2)
Apr. 24 / Applications / Chapter 4
10 / Apr. 29 / Burnside Theorem
+ Applications / Chapter 4
May 1 / Solving problems 3 / Chapter 4 / Homework 3
11 / May 6 / Take Home Exam
May 8 / Introduction to Ch. 5 / Chapter 5
12 / May 13 / Understanding Sylow / Chapter 5
May 15 / 28 ربيع تاني / Second Exam / Chapter 4
13 / May 20 / Second and Third Sylow Theorem / Chapter 5
May 22 / Application using normalizer / Chapter 5
14
May 27 / 10 جماد / Quiz / Applications
May 29 / Concept of rings
15


PART III

COURSE RELATED MATERIAL

Contains all the materials considered essential to teaching the course, includes:

Quizzes, lab quizzes, mid-terms, and final exams and their solution set

Paper or transparency copies of lecture notes/ handouts (optional)

Practical Session Manual (if one exists)

Handouts for project/term paper assignments

(use the following template for Quizzes, lab quizzes, mid-terms, and final exams and their solution set)

Q1 / (Insert question one here) / 8 marks
Q2 / (Insert question two here) / 8 marks
Q3 / (Insert question three here) / 8 marks
Q4 / (Insert question four here) / 8 marks
Q5 / (Insert question five here) / 8 marks
Total / 25

PART IV

EXAMPLES OF STUDENT LEARNING

Examples of student work. (Included good, average, and poor examples)

Graded work, i.e. exams, homework, quizzes

Students' lab books or other workbooks

Students' papers, essays, and other creative work

Final grade roster and grade distribution

Examples of instructor’s written feedback of student’s work, (optional)

Scores on standardized or other tests, before and after instruction, (optional)

Course evaluation, self evaluation or students comments (optional)

PART V

INSTRUCTOR REFLECTION (optional)

Part V. Instructor Reflections on the Course

?  Instructor feedback and reflections

?  Propose future improvement and enhancement

?  Evaluate student competency and reflect on their course evaluation for improvements to the course

?  Conceptual map of relationships among the content, objective, and assessment

?  Recent trends and new approaches to teach the course.

Course Portfolio

chECKLIST

¨ TITLE PAGE

¨ COURSE SYLLABUS

¨ COURSE RELATED MATERIAL

¨ EXAMPLES OF EXTENT OF STUDENT LEARNING

¨ INSTRUCTOR REFLECTION ON THE COURSE