Yozgat Bozok University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
MAT501	ALGEBRA	Elective	1	2	6

Level of Course Unit

Second Cycle

Objectives of the Course

To tansfer the high level algebra topıcs to students.

Name of Lecturer(s)

Dr.Öğr.Üyesi Funda TAŞDEMİR

Learning Outcomes

1	The learners have information about Rigs; İdeals; Quotient rings; Integer Domains; PIR; Euclid rings; Polynomıal rings.
2	The learners have information about Vector Spaces; Linear Transformations; Matris representations of Linear Transformations; Dual Spaces; Modüles
3	The learners have information about Algebra of linear transformations; Eigen values and vectors; Minimal Polynomials; Canonic Forms
4	The learners have information about Triangle Forms; Jordon Forms; Rationel canonıc Forms ; Hermisyen; Uniter and normal transformations; Real quadratic forms

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Rings; İdeals; Quatient rings; Integer domaıns; PIR; Euclid rings; Polynomail Rings; Vector Spaces; Linear Transformations; Matris reseptations of linear transformations; Dual Spaces; Modules; Algebra of Linear Transformations; Eigen values and vectors; Minimal polynomials; Canonıc Forms; Triangle forms; Jordon forms; Rtionel Cannonic forms; Hermitian; Uniter and normal transformations; Real qoadratic forms.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Rigs
2	İdeals
3	Quotient rings
4	Integer Domains
5	PIR
6	Polynomıal rings
7	Vector Spaces; Linear Transformations; Matris representations of Linear Transformations
8	MİDTERM EXAM
9	Dual Spaces; Modüles
10	Algebra of linear transformations
11	Eigen values and vectors; Minimal Polynomials
12	Canonic Forms
13	Triangle Forms; Jordon Forms
14	Rationel canonic Forms
15	Hermisyen; Uniter and normal transformations
16	Real quadratic forms

Recommended or Required Reading

1. Herstein I.N, (1975), Topics In Algebra , John Wiley nad Sons Inc. 2. Hungerford Tomas, (1974), Algebra, Springer Verlag New York. 3. Fraleigh John, (1973), A Fist Course In Abstract Algebra, Addison-Wesley Publishing Company London.

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Attending Lectures	14	3	42
Self Study	7	6	42
Individual Study for Homework Problems	7	3	21
Individual Study for Mid term Examination	7	3	21
Individual Study for Final Examination	7	8	56
TOTAL WORKLOAD (hours)			186

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

LO3

LO4

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High