GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
LINEAR ALGEBRA II/MAT- 114
Course Title: LINEAR ALGEBRA II
Credits 4 ECTS 5
Semester 2 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof. Dr. Dursun TAŞCI
 -- WEB SITE(S) OF LECTURER(S)
   websitem.gazi.edu.tr/site/dtasci
 -- EMAIL(S) OF LECTURER(S)
  dtasci@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
To construction an isomorphim between Linear Mapping and Matrices
To get students to comprehend main knowledges with releted linear mappings
To get students to comprehend relations between inner product and normed spaces
To learn main knowledges with related eigenvalue and eigenvectors
To get students to comprehend diagonalization of matrices and application of diagonalization of matrices




 -- 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  Inner products spaces
2. Week  Norms of vector and matrices
3. Week  Orthogonal and orthonormal vectors
4. Week  Linear mappings
5. Week  Linear mappings and matrices
6. Week  Linear functionals and dual spacesThe inverses and transposes
7. Week  The inverses and transposes of linear mappings
8. Week  Examination
9. Week  Eigenvalues and eigenvectors
10. Week  The eigenvalues of some special matrices
11. Week  The mimimum polynomial of a matrix and The theorem of Cayley-Hamilton
12. Week  The diagonalization of matrices
13. Week  Similar matrices and properties
14. Week  Some applications of diagonalization
15. Week  The diogonalization of symmetric matrices
16. Week  Final exam
 -- RECOMMENDED OR REQUIRED READING
  1. Lineer Cebir, D. Taşcı, Ankara, 2012 2. Linear Algebra and Geometry, D.M. Bloom, Cambridge Universty Press, London, 1979. 3.Lineer Cebir, H.H.Hacısalihoğlu, Gazi Üniversitesi
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer
 -- WORK PLACEMENT(S)
  No
 -- 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
3
42
 Practising Hours of Course Per Week
14
2
28
 Reading
14
2
28
 Searching in Internet and Library
6
1
6
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
10
10
 Final and Studying for Final
1
12
12
 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
1To train individuals who are contemporary, entrepreneur and have unique and aesthetic values, self-confidence and capable of independent decision-making.X
2To give good education in the program fields as algebra, geometry, applied mathematics, topology and analysis in order to be equipped with enough mathematics.X
3To teach mathematical thinking methods in order to improve the ability to express mathematics both orally and in writing.X
4To train individuals who are knowledgeable about the history of mathematics and the production of scientific knowledge and can follow developments in these disciplines.X
5To provide necessary equipments to take positions such areas as banking, finance, econometrics, and actuarial.X
6To acquire ability to solve problems encountered in real life by means of mathematical modeling using mathematical methods.X
7To provide ability to do necessary resource researches in the areas of mathematics and to use accessed information.X
8To give appropriate training in such areas as in computer programming and creating algorithms in order to take parts in developing IT sector.X
9To gain substructure to be able to study at graduate level.X
10To enable the student to gain the ability of relating mathematics with the other sciences.X