GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
LINEAR ALGEBRA/MAT 104
Course Title: LINEAR ALGEBRA
Credits 3 ECTS 5
Semester 2 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Assoc.Prof. Ercan ALTINIŞIK; Assoc.Prof. Naim TUĞLU
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/ealtinisik , http://websitem.gazi.edu.tr/site/naimtuglu
 -- EMAIL(S) OF LECTURER(S)
  ealtinisik@gazi.edu.tr , naimtuglu@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
understand fundamental concepts of matrix algebra, perform matrix operations
solve systems of linear equations using matrices
understand fundamental concepts of vector spaces and subspaces
explain the concepts of basis and dimension of a vector space
write a vector with respect to different basis of the vector space and find the coordinates of the vector wrt a given basis
calculate the norm of a vector in an inner vector space and determine two vectors is whether orthogonal or not
orthogonalize given n linearly independet vectors using the Gram–Schmidt process
solve various problems using linear transformations
find the image and the null space of a linear transformation and determine dimensions of them
find eigenvalues and eigenvectors of a matrix or a linear transformaiton and diagonalize them
 -- 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  Elementary row operations and column operations and their applicaitons
3. Week  Determinants and their applications
4. Week  Systems of linear equations and solution methods
5. Week  Definitions of vector spaces and subspaces
6. Week  Linear dependence and independence
7. Week  Basis and dimensions, coordinates of a vector wrt a basis
8. Week  Midterm exam
9. Week  Inner pruduct and norm
10. Week  Orthogonal vectors and Gram-Schmidt orthogonaliztion process
11. Week  The least squares method
12. Week  Linear trasformations, the image and the null space of a linear transformation
13. Week  Matrix representations of linear transformations, composition of two transformations and inverse of a transformation
14. Week  Eigenvalues and eigenvectors
15. Week  Diagonalization and its applicaitons
16. Week  Final exam
 -- RECOMMENDED OR REQUIRED READING
  Taşcı, Lineer Cebir, Ankara, 2011 Hoffman, Kunze, Linear Algebra, 2ed, Printice Hall, 1971. Lang, Linear Algebra, Addison-Wesley, 1968.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, practise
 -- WORK PLACEMENT(S)
  -
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
80
 Assignment
0
20
 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
15
3
45
 Practising Hours of Course Per Week
0
 Reading
14
1
14
 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
14
2
28
 Final and Studying for Final
2
5
10
 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
1Identifying and defining scientific problems in Electrical and Electronic EngineeringX
2Modeling and scientific problems solving in the field of engineering skills acquisition.X
3An electrical system analysis and the components of its, design skills; in this direction acquire the ability to apply modern design methods.X
4Modern techniques and tools necessary for engineering applications with the ability to use effective use of information technology, experiment design, implementation, data collection, analyzing and interpreting skills to obtain results.X
5To know access method to information and for this purpose the literature to do research, databases and other information resources the ability to use, disciplinary working groups to adapt to in the community Ability to work effectively and confidence to take responsibility, Turkish verbal / written communication skills and at least one foreign language skills have .X
6Knowledge of professional and ethical responsibility, project management, field applications, employee health, environment and safety conscious of; awareness about the legal implications of engineering applications having.X
7Acquire awareness of lifelong learning; scientific and technological developments have monitoring and self-renewal ability.X
8Be aware of the effects engineering solutions and applications for our country and the benefit of mankind, to know of the social dimension of work.X
9Entrepreneurial and innovative approach has to be one active.X
10Project planning and to disseminate the project results.X