Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
MAT502ALGEBRA IIElective116
Level of Course Unit
Second Cycle
Objectives of the Course
To transfer the high level algebra topics.
Name of Lecturer(s)
Dr.Öğr.Üyesi Funda TAŞDEMİR
Learning Outcomes
1The learners have information about Algebra of linear transformations; Eigen values and vectors; Minimal Polynomials.
2The learners have information about Canonic forms; Triangle forms; Jordon forms; Rationel Canonic forms.
3The learners have information about 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
Algebra of linear transformations; Eigen values and vectors; Minimal polynomials; Canonic forms; Triaangle forms; Jordon forms; Rationel canonic forms; Hermitian; Uniter and normal transformations; Real quadratic forms.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Algebra of linear transformations
2Eigen values and vectors
3Eigen values and vectors
4Minimal Polynomials
5Canonic forms
6Triangle forms
7Jordon forms
8MID TERM EXAM
9Rationel Canonic forms
10 Hermisyen; Uniter and normal transformations
11Hermisyen; Uniter and normal transformations
12Hermisyen; Uniter and normal transformations
13 Real quadratic forms
14 Real quadratic forms
15 Real quadratic forms
16FINAL EXAM
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 First Course In Abstract Algebra, Addision-Wesley Publishing Company London.
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Language of Instruction
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination11010
Final Examination111
Makeup Examination12112
Attending Lectures15115
Problem Solving15115
Self Study12448
Individual Study for Mid term Examination7321
Individual Study for Final Examination15460
TOTAL WORKLOAD (hours)182
Contribution of Learning Outcomes to Programme Outcomes
LO1
LO2
LO3
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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