MATH 231
LINEAR ALGEBRA
(4-0) 4 Credits
Fall Semester 2013-2014
Instructor: Mehmet Turan
Office: FEF-421
Phone: 85 85
e-mail: mturan@atilim.edu.tr
Course webpage: http://www.atilim.edu.tr/~math231
Catalog Data: Matrices and Linear Equations, Determinants, Vector Spaces, Linear Transformations.
Textbook: Linear Algebra I by Cemal Koç, METU, 1998.
References:
 Basic Linear Algebra, by T.S. Blyth and E.F. Robertson, Springer Undergraduate Mathematics
Series, Springer-Verlag.
 Elementary Linear Algebra by B.Kolman &D.R.Hill, 8th Edition, Prentice Hall.
 Linear Algebra with Applications, S.J.Leon, 5th Edition, Prentice Hall.
 Linear Algebra with Applications, O.Bretscher, Prentice Hall.
 Linear Algebra, by K.Janich, Undergraduate Text in Mathematics, Springer-Verlag
Objectives: The aim of the course is to provide the basic linear algebra background needed by
mathematicians. Many concepts presented in the course will be presented in the familiar setting of the
plane and the real n-dimensional space, and will be developed with an awareness of how linear algebra
is applied.
Grading Policy:
Mid-Term 1
Mid-Term 2
Homework/Quiz
Final
25%
25%
10%
40%
Attendance Policy :
Attendance is an essential requirement of this course. Any student should attend more than %70
lecture hours: If you do attend less than %70 of the lecture hours, you will get an NA grade. (Do not
miss 17 hours!)
Make-up: Make-up exams will be given only if the proper medical documentation for the absence is
received. Do not forget that the medical report must be submitted to student affairs in three days after
the last day of the report. Otherwise it will not be accepted.
REMARK: All the students should PROVIDE student ID cards to proctors to serve as identification
during the exam. Any student without an ID card CANNOT take the exam.
COURSE CHART
Week
Date
1
Sep. 16 - 20, 2013
Matrices, Matrix Operations, Algebraic Properties of Matrix
Operations,
2
Sep. 23 - 27, 2013
Partitioned Matrices, Special Types of Matrices, Elementary Row
Operations.
3
Sep. 30 - Oct 4, 2013
4
Oct. 7 - 11, 2013
5
Oct. 14 - 18, 2013
6
Oct. 21 - 25, 2013
7
Course Topics
Row equivalence. Equivalent Matrices. Invertible Matrices.
Systems of Linear Equations.
HOLIDAY
Determinants, Cramer’s Rule. (Midterm 1)
Oct. 28 - Nov. 1, 2013
Vector Spaces
(Oct. 29-Holiday)
8
Nov. 4 - 8, 2013
Subspaces. Span.
9
Nov. 11 - 15, 2013
Linear Independence. Basis and Dimension.
10
Nov. 18 - 22, 2013
11
Nov. 25 - 29, 2013
12
Dec. 2 - 6, 2013
Subspaces associated with a matrix (Row space, Column space,
Homogeneous Systems), Rank of a Matrix.
Intersections, Sums, Direct Sums, Quotient Spaces (Midterm 2)
13
Dec. 9 - 13, 2013
Linear Transformations. Kernel, Image, Injectivity, Surjectivity.
14
Dec. 16 - 20, 2013
Dual Space (Theorem and Definition 3.3.7), The Algebra of
Linear Operators
15
Dec. 23 - 27, 2013
Matrix of a Linear Transformation. Transition Matrix, Similarity.
16
Dec. 30 - 31, 2013
Review
Coordinates. Isomorphisms.