GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATRIX THEORY IN STATISTICS/MAT-246
Course Title: MATRIX THEORY IN STATISTICS
Credits 4 ECTS 5
Semester 4 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  TURKISH
 -- NAME OF LECTURER(S)
  Assoc.Prof. Dr. Naim TUĞLU
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/naimtuglu
 -- EMAIL(S) OF LECTURER(S)
  naimtuglu@gazi.edu.tr, tuglunaim@gmail.com
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Understanding Matrices and matrix operations, some special matrices and inverse matrices
elementary row-column operations and applications
determinants and their properties, applications of the determinant
systems of linear equations and their solutions, Methods of solving systems of linear equations definition and properties of vector spaces
Examples of vector spaces sub-vector spaces
linear dependence and independence, Base and dimensions concepts and base form
The coordinates of a vector of vectors, inner product
norm eigenvalues and eigenvectors of a matrix
Understanding the generalized inverse
 -- 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  Matrices and matrix operations,
2. Week  some special matrices and inverse matrices,
3. Week  elementary row-column operations and applications
4. Week  determinants and their properties,
5. Week  applications of the determinant,
6. Week  systems of linear equations and their solutions,
7. Week  Methods of solving systems of linear equations
8. Week  Midterm exam
9. Week  definition and properties of vector spaces,
10. Week  Examples of vector spaces
11. Week  sub-vector spaces, linear dependence and independence
12. Week  Base and dimensions concepts and base form
13. Week  The coordinates of a vector of vectors, inner product and norm
14. Week  eigenvalues and eigenvectors of a matrix
15. Week  generalized inverse
16. Week  Final exam.
 -- RECOMMENDED OR REQUIRED READING
  NO
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Practise
 -- WORK PLACEMENT(S)
  NO
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
70
 Assignment
2
10
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
1
20
 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
4
56
 Practising Hours of Course Per Week
4
5
20
 Reading
0
 Searching in Internet and Library
0
 Designing and Applying Materials
0
 Preparing Reports
1
5
5
 Preparing Presentation
1
7
7
 Presentation
1
7
7
 Mid-Term and Studying for Mid-Term
1
10
10
 Final and Studying for Final
1
20
20
 Other
0
 TOTAL WORKLOAD: 
125
 TOTAL WORKLOAD / 25: 
5
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
11. The statistical textbooks which include latest information about statistics, equipment and other resources supported by scientific approach on undergraduate level have theoretical and practical knowledge.X
22. Statisticians by using knowledge and skills acquired at bachelor degree level model, analyze, and interpret datasets.X
33. Statisticians identify and analyze the problems with current developments in statistic and also develop solutions based upon researches and proofs.X
44. Statisticians apply theoretical and practical knowledge acquired in Statistics at bachelor degree level to the current problems.X
55. Statisticians have the ability to use computer software and computing technology at the certain level required by statistics field.X
66. Statisticians take responsibility at disciplinary and interdisciplinary studies as an individual or a team member.X
77. Statisticians must have knowledge and ability to follow development in the field of Statistics, and must develop life long-learning attitudes.X
88. By using a foreign language, statistician can keep track of every statistical information, and communicate with colleagues.X
99. Applying the statistical knowledge in the professional sense, statistician has social, scientific, and ethical values.X
1010. A statistician must have the ability to social sensitivity and socialization.X
1111. During the process of inference, a statistician uses time efficiently with the analytical thinking ability.X