ÇAĞ UNIVERSITY
FACULTY OF ARTS AND SCIENCES
Code
Course Title
Credit
ECTS
MAT 213
Linear Algebra I
3 (3-0)
6
Prerequisites
None
Language of Instruction
English
Type and Level of Course
Compulsory/2.Year/Fall Semester EQF- Level 6
Mode of Delivery
Face to face
Lecturers
Name(s)
Lecture Hours
Office Hours
Course Coordinator
Prof. Dr. Fikri Akdeniz
Thu9-12
Course Objective
Realizing that linear algebra is an essential part of mathematics background, the main objective
is to provide students with an understanding of vector spaces ,matrices , determinants and
mathematical and computational skills to analyse systems of linear equations
Thu. 13-15
Students who have completed the course successfully should
be able to
Learning Outcomes of the Course
Contacts
fikriakdeniz@cag.edu.tr
Relationship
Prog. Output
Net Effect
1
represent points in R2 and R3 as 2 and 3 -dimensional vectors
1, 6
4, 5
2
make addition, subtraction and scaler multiplication of vectors
in Rn
1, 5
4, 4
3
show a sound understanding of the concept of vector spaces,
subspaces and basis
1, 3, 6
4, 4, 5
4
represent linear systems of equations as matrices and carry
elementary row operations for a solution
1, 3, 5
5, 4, 5
5
evaluating determinants and use it for computing inverse of a
matrix
1, 3, 5
4, 4, 5
6
comprehend inner product spaces and orthogonality
1, 3
5, 4
Course Description: The courese aims to present the course material in a way that requires simple mathematics. Each
chapter begins with clear statements and definitions, principles and theorems coupled with illustrative examples.
This is followed by extensive examples that serves to amplify the theory, and to provide the repitition of basic
principles. The first three chapters treat vectors in Euclidean space (Rn), vector spaces, matrix algebra and linear
systems of equations. Then comes the chapters on determinants and on inner product spaces.
Course Contents:( Weekly Lecture Plan )
Weeks
Topics
1
Systems of linear equations
Preparation
Teaching Methods
Lectures
Textbook Ch. 1
2
Analysis of Gauss elimination method, GaussJordan method
Textbook Ch. 1
Lectures
3
Matrices and matrix operations, matrix
multiplication ,Tranpoze of a matrix,
Textbook Ch. 1
Lectures
4
Algebric properties of matrix operations,
trace of matrix
Textbook Ch. 2
Lectures
5
Echelon form of a matrix, Special type of
matrices and partitioned matrices
Textbook Ch. 2
Lectures
6
Solving linear systems ,finding A-1,equivalent
matrices, homogenous systems,
Textbook Ch. 2
Lectures
7
Determinants,c ofactor expansion,properties
of determinants
Textbook Ch. 3
Lectures
8
Applications of determinants, Cramer’s rule
Textbook Ch. 3
Lectures
9
Midterm Exam.
10
Vectors in Rn, vectors in plane and 3-space,
inner product of vectors, matrix
transformations
Textbook Ch. 4
Lectures
11
Vector spaces
Textbook Ch. 4
Lectures
12
Subspaces
Textbook Ch. 4
Lectures
13
Basis and Dimension Span and linear
Independence
Textbook Ch. 4
Lectures
14
Overview of the Vector Spaces
Textbook Ch.4
Problem Solutions on Chapter 4
REFERENCES
Textbook :
Bernard Kolman ,David R.
Hill (7. ve 8. Baskı)
Introductory Linear
Algebra
Recommended Reading
Strang, G., Introduction to Linear Algebra, Wellesly, MA : Wellesley-Cambridge Press,
2003.
Hadly, G., Linear Algebra, 8th Edition, Addison-Wesley, 1979.
ASSESSMENT METHODS
Activities
Number
Effect
Midterm Exam
1
40%
Effect of The Final Exam
Notes
60%
ECTS TABLE
Contents
Number
Hours
Total
Hours in Classroom
14
3
42
Hours out Classroom
14
6
84
Midterm Exam
1
20
20
Final Exam
1
30
30
Total
176
Total / 30
=176/30=5.86
ECTS Credit
6
RECENT PERFORMANCE
2010-2011 FALL SEMESTER
MAT 213 LINEAR ALGEBRA
15
12
9
10
5
5
0
0
0
"
2
3
1
1
0
-5
NA FF FD DD DC CC CB BB BA AA