-Elementer Lineer Cebir, (H.Anton-C.Rorre, Elementary Linear Algebra with Suplemental Applications, Çeviri: ALİ DOĞAN AKSOY, ZÜLFİKAR SAYGI,ÇETİN ÜRTİŞ), Palme Yayıncılık.
Other Sources
-Ö. Akın, (Elementary Linear Algebra with Applications, Çeviri, ), Uygulamalı Lineer Cebir, Palme Yayıncılık.
- B.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
Matrices; Matrix Operations
Oral and written presentation
2. Week
Algebraic Properties of Matrix Operations, Special Types of Matrices
Oral and written presentation
3. Week
(Reduced) Row Echelon Form of a Matrix
Oral and written presentation
4. Week
Solving Linear Systems; Homogeneous Systems
Oral and written presentation
5. Week
Elementary Matrices and Finding the Inverse of a Matrix 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
Ability to apply theoretical and practical knowledge gained by Mathematics, Science and their engineering fields and ability to use their knowledge in solving complex engineering problems.
PO-2
Ability of determining, defining, formulating and solving complex engineering problems; for that purpose develop the ability of selecting and implementing suitable models and methods of analysis.
PO-3
Ability of designing a complex system, process, device or product under real world constraints and conditions serving certain needs; for this purpose ability of applying modern design techniques
PO-4
Ability of selecting and using the modern techniques and devices which are necessary for analyzing and solving complex problems in engineering implementations; ability of efficient usage of information technologies.
PO-5
Ability of designing experiments, conducting tests, collecting data and analyzing and interpreting the solutions to investigate of complex engineering problems or discipline-specific research topics.
PO-6
Ability of working efficiently in intra-disciplinary and multi-disciplinary teams; individual working ability and habits.
PO-7
Ability of verbal and written communication skills; and at least one foreign language skills, ability to write effective reports and understand written reports, ability to prepare design and production reports, ability to make impressive presentation, ability to give and receive clear and understandable instructions
PO-8
Awareness of importance of lifelong learning; ability to access data, to follow up the recent innovation in science and technology for continuous self-improvement.
PO-9
Conformity to ethical principles; knowledge about occupational and ethical responsibility, and standards used in engineering applications.
PO-10
Knowledge about work life implementations such as project management, risk management and change management; awareness about entrepreneurship and innovativeness; knowledge about sustainable development.
PO-11
Knowledge about effects of engineering applications on health, environment and security in global and social dimensions, and on the problems of the modern age in engineering; awareness about legal outcomes of engineering solutions.
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.