BASIC ALGEBRAIC STRUCTURES

Course Code:

MATH 102

Semester:

Spring

Course Type:

Core

P:

3

Lab:

2

Laboratuvar Saati:

0

Credits:

4

ECTS:

7

Course Language:

English

Course Objectives:

To introduce basic algebraic structures and proof techniques.

Course Content:

Algebraic Structures, integers, rings, fields, groups, homomorphism and isomorphism, natural numbers and their properties, rational numbers, real numbers and their properties, complex numbers.

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	Review of algebraic structures	Textbook
2	Algebraic properties of integers	Textbook
3	Rings	Textbook
4	Fields	Textbook
5	Groups	Textbook
6	Homomorphisms and Isomorphisms	Textbook
7	Natural numbers	Textbook
8	Arithmetic and ordering properties of natural numbers	Textbook
9	Integers	Textbook
10	Rational numbers	Textbook
11	Rela numbers	Textbook
12	Algebraic and ordering properties of real numbers	Textbook
13	Complex numbers	Textbook
14	Complex numbers	Textbook

Recommended Sources

Textbook	Intro. to Mathematical Structures, Steven Galovich
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
No	Program Learning Outcomes	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	10	20
Quizzes	-	-	-
Assignments	-	-	-
Final examination (Including self study)	1	15	15
Total Work Load			175
Total Work Load / 25 (h)			7
ECTS Credit of the Course			7

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