GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
LINEAR ALGEBRA I/MAT107A
Course Title: LINEAR ALGEBRA I
Credits 3 ECTS 6
Semester 1 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
Solve the systems of linear equations.
Provide arithmetic operations with matrices.
Solve the systems of linear equations in matrix notation using elementary row operations.
Compute the inverse of matrix.
Solve the systems of linear equations using equivalent matrices.
Learn the importance of the concepts of vector space, basis and dimension.
Solve the systems of linear equations using linear combinations and linear independence.
Learn the relationship between isomorphisms and dimension.
Compute the rank of matrix.
Learn 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  Systems of linear equations
2. Week  Matrices, matrix operations
3. Week  Special types of matrices
4. Week  Echelon form of a matrix, Gaussian elimination
5. Week  Echelon form of a matrix, Gaussian elimination
6. Week  Elementary matrices, inverse of a matrix
7. Week  Equivalent matrices
8. Week  Midterm exam
9. Week  Vector spaces
10. Week  Subspaces, linear independence
11. Week  linear combinations
12. Week  basis and dimension; coordinates and isomorphisms
13. Week  The rank of a matrix
14. Week  Inner product spaces
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
2
28
 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: 
140
 TOTAL WORKLOAD / 25: 
5.6
 ECTS: 
6
 -- 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