-H.Anton-C.Rorres, 11th Edition, Elementary Linear Algebra , Jhon Wiley&sons,Inc.(2014),ISBN 978-1-118-43441-3.
Other Sources
-.Kolman-Dr.Hill, Elementary Linear Algebra with Aplications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3.
-B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1.
-Fraleigh-Beauregard, Linear Algebra, Addison8-Wesley (1995).
- E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992)
-S. Lipschutz, M. Lipson, Schaum’s Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009.
-Any textbook on advanced linear algebra.
Course Schedules
Week
Contents
Learning Methods
1. Week
Introduction to Linear Systems
Oral and written presentation
2. Week
Gaussian Elimination and
Gauss-Jordan Elimination
Oral and written presentation
3. Week
Matrices; Matrix Operations,
Row Echelon Form of a Matrix
Oral and written presentation
4. Week
Algebraic Properties of Matrix Operations,
Special Types of Matrices
Oral and written presentation
5. Week
Elementary Matrices and Finding the Inverse of aMatrix by Using Elementary Operations
Oral and written presentation
6. Week
Determinants; Definition and Properties of Determinants
Oral and written presentation
7. Week
Cofactor Expansion; Finding Inverses by Using Cofactors
Oral and written presentation
8. Week
Cramer’s Rule; Rank of a Matrix
Oral and written presentation
9. Week
Vector Spaces: Definition; Subspaces
Oral and written presentation
10. Week
Span and Linear Independence
Oral and written presentation
11. Week
Basis and Dimensions, Coordinates,
Inner Product Spaces
Oral and written presentation
12. Week
Eigenvalues and Eigenvectors
Oral and written presentation
13. Week
Diagonalization and Similar Matrices
Oral and written presentation
14. Week
Linear Transformation
Oral and written presentation
15. Week
Final Examinations
written
16. Week
Final Examinations
written
17. Week
Final Examinations
written
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
40
Final Exam
1
60
Program Outcomes
PO-1
Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science.
PO-2
Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science.
PO-3
Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence.
PO-4
Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline.
PO-5
Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science.
PO-6
Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish.
PO-7
Using time effectively in inventing solutions by implementing analytical thinking.
PO-8
Understanding professional ethics and responsibilities.
PO-9
Having the ability to behave independently, to take initiative, and to be creative.
PO-10
Understanding the importance of lifelong learning and developing professional skills continuously.
PO-11
Using professional knowledge for the benefit of the society.
Learning Outcomes
LO-1
Recognize special type of matrices and perform the Matrix operations.
LO-2
Solve linear systems by Gauss-Jordan reduction.
LO-3
Find the transpose, inverse, rank and adjoint of a matrix.
LO-4
Calculate determinants using row operations, column operations, and cofactor expansion along any row ( or column).
LO-5
Solve linear systems by Cramer’s rule.
LO-6
Prove algebraic statements about vector addition, scalar multiplication, linear independence, spanning sets, subspaces, bases, and dimension.
LO-7
Calculate eigenvalues and their corresponding eigenvectors of a square matrix.
LO-8
Prove the properties of eigenvalues and eigenvectors.
LO-9
Determine if a matrix is diagonalizable, and if it is, diagonalize it.
