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Course Code: 
MATH 102
Semester: 
Spring
Course Type: 
Core
P: 
3
Lab: 
2
Laboratuvar Saati: 
0
Credits: 
4
ECTS: 
8
Course Language: 
English
Course Objectives: 
To introduce basic algebraic structures and proof techniques
Course Content: 

Operations, number systems, partitions and equivalence classes, groups, subgroups and homomorphisms, cyclic groups, cosets, rings, subrings and ideals, ring homomorphisms, quotient rings, integral domains, polynomial rings, fields, properties of real numbers,vector spaces

Course Methodology: 
1: Lecture, 2: Problem Solving
Course Evaluation Methods: 
A: Written examination, B: Homework

Vertical Tabs

Course Learning Outcomes

Learning Outcomes

Teaching Methods

Assessment Methods

1) Fasciliates abstract thinking

1,2

A

2) Learns proof techniques

1,2

A

3) Recognizes algebraic structures

1,2

A

4) Interprets relations between algebraic structures

1,2

A

Course Flow

Week

Topics

Study Materials

1

Operations, number systems, partitions and equivalence classes

 

2

Groups, elementary properties of groups

 

3

Subgroups, group homomorphisms

 

4

Cyclic groups, cosets, Lagrange’s Theorem

 

5

Rings, elementary properties of rings

 

6

Subrings and ideals

 

7

Ring homomorphisms

 

8

Quotient rings

 

9

Integral domains

 

10

Properties of Integers

 

11

Rings of polynomials

 

12

Fields and properties of real numbers

 

13

Vector spaces

 

14

Review

 

Recommended Sources

Textbook

“A Book of Abstract Algebra”, Charles C. PINTER,  “Elementary Abstract Algebra”, W. Edwin CLARK,  “Course Notes of Abstract Algebra”, D.R. WILLIAMS.

Additional Resources

 

Material Sharing

Documents

 

Assignments

 

Exams

 

Assessment

IN-TERM STUDIES

NUMBER

PERCENTAGE

Mid-terms

2

100

Quizzes

   

Assignments

   

Total

 

100

CONTRIBUTION OF FINAL EXAMINATION TO OVERALL GRADE

 

50

CONTRIBUTION OF IN-TERM STUDIES TO OVERALL GRADE

 

50

Total

 

100

 

COURSE CATEGORY

Core Courses

Course’s Contribution to Program

No

Program Learning Outcomes

Contribution

1

2

3

4

5

1

The ability to make computation on the basic topics of mathematics such as limit, derivative, integral, logic, linear algebra and discrete mathematics which provide a basis for the fundamenral research fields in mathematics (i.e., analysis, algebra, differential equations and geometry)

       

x

2

Acquiring fundamental knowledge on fundamental research fields in mathematics

       

x

3

Ability form and interpret the relations between research topics in mathematics

       

x

4

Ability to define, formulate and solve mathematical problems

       

x

5

Consciousness of professional ethics and responsibilty

 

x

     

6

Ability to communicate actively

x

       

7

Ability of self-development in fields of interest

   

x

   

8

Ability to learn, choose and use necessary information technologies

x

       

9

Lifelong education

   

x

   

ECTS

Activities

Quantity

Duration
(Hour)

Total
Workload
(Hour)

Course Duration (14x Total course hours)

14

5

70

Hours for off-the-classroom study (Pre-study, practice)

14

5

70

Mid-terms (Including self study)

2

15

30

Quizzes

-

-

-

Assignments

-

-

-

Final examination (Including self study)

1

20

20

Total Work Load

 

 

190

Total Work Load / 25 (h)

 

 

7.60

ECTS Credit of the Course

 

 

8