GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
LINEAR ALGEBRA II/MAT108A
Course Title: LINEAR ALGEBRA II
Credits 3 ECTS 5
Semester 2 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Asst.Prof.Dr. Sevgi Atlıhan
 -- WEB SITE(S) OF LECTURER(S)
  www.gazi.edu.tr/asevgi
 -- EMAIL(S) OF LECTURER(S)
  asevgi@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
The student can examine relationships between linear transformations and lines on plane.
The student determine the kernel and range of a linear transformation.
The student examine relationships beetween linear transformations and matrices.
The student examine the concept of similarity.
The student examine the concept of determinant and properties of determinants.
The student examine the method of cofactor expansion about calculating determinant.
The student learn some applications of determinants.
The student learn new definations and applications related the matrix of a linear transformation
The student learn an application related symmetric matrices.
The student learn an application related inner product spaces.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face.
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite or co-requisite for this course
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course
 --COURSE CONTENT
1. Week  Definition and examples of the linear transformation
2. Week  The kernel and range of a linear transformation
3. Week  The matrix of a linear transformation
4. Week  Similarity
5. Week  Defination of determinant and properties of determinants
6. Week  Properties of determinants
7. Week  Cofactor Expansion
8. Week  Midterm exam
9. Week  Calculate of the inverse of matrix by using determinant
10. Week  Cramer rule
11. Week  Eigenvalues and eigenvectors
12. Week  Diagonalization and similiar matrices
13. Week  Diagonalization of symmetric matrices
14. Week  Real quadratic forms
15. Week  
16. Week  
 -- RECOMMENDED OR REQUIRED READING
  Elementary Linear Algebra Bernard Kolman
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration,Drill-Practise
 -- WORK PLACEMENT(S)
  Yoktur
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
40
 Assignment
0
0
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
40
 Contribution of Final Examination to Overall Grade  
60
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
2
28
 Practising Hours of Course Per Week
14
2
28
 Reading
14
2
28
 Searching in Internet and Library
14
1
14
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
7
2
14
 Final and Studying for Final
7
2
14
 Other
0
 TOTAL WORKLOAD: 
126
 TOTAL WORKLOAD / 25: 
5.04
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Acquisition of scientific thinking skillsX
2Making research and investigation independentlyX
3Acquisition of carefully observing and analytically thinking skillsX
4Acquisition of learning and teaching mathematics problemsX
5Comprehending, applying and explaining the importance of mathematical conceptsX
6Developing the thinking, producing, argumenting and probing abilitiesX
7Having the algorithm and sotftware writing abilities for solving computer supported problemsX
8Developing the ability of reaching information, evaluating and presenting informationX
9Improving yourself parallel to the developing technologyX
10Understands the disciplinary structure of mathematics, its historical development, related philosophical approaches and problems.X