To teach basic concepts of linear algebra for engineering students.
Prerequisite(s)
-
Corequisite(s)
-
Special Requisite(s)
-
Instructor(s)
Professor SONGÜL ESİN, Assist. Prof. Dr. CANAN AKKOYUNLU
Course Assistant(s)
-
Schedule
Prof. Dr. Songül Esin: Section-A Monday 9:00-10:45 , Wednesday 13:00-14:45
Dr. Öğr. Üyesi Canan AKKOYUNLU: Section-B Monday 11:00-12:45 , Wednesday 09:00-10:45
Section-C Monday 13:00-14:45 , Wednesday 11:00-12:45
Office Hour(s)
Prof. Dr. Songül Esin: Monday 11:00-12:00
Dr. Öğr. Üyesi Canan AKKOYUNLU: Monday 15:00-16:00
Teaching Methods and Techniques
-Lecture, discussion
Principle Sources
-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, Addison-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.
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
Algebraic Properties of Matrix Operations, Special Types of Matrices
Oral and written presentation
4. Week
Matrices; Matrix Operations, Row Echelon Form of a Matrix
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
16. Week
17. Week
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
40
Final Exam
1
60
Program Outcomes
PO-1
Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in the solution of complex engineering problems.
PO-2
Ability to formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.
PO-3
Ability to design a complex systemi process, device or product under realistic constraints and conditions, in such a way as to meet the desired results; ability to apply modern design methods for this purpose.
PO-4
Ability to select and use modern techniques and tools needed for analyzing and Solving complex problems encountered in engineering practice; ability to employ information technologies effectively.
PO-5
Ability to design and conduct experiments, gather data, analyze and interpret results for investing complex engineering problems or discipline specific research questions.
PO-6
Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
PO-7
Ability to communicate effectivley, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instruction.
PO-8
Awareness of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
PO-9
Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices.
PO-10
Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
PO-11
Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.
Learning Outcomes
LO-1
Recognize special type of matrices and perform the Matrix operations. (KNOWLEDGE)
LO-2
Solve linear systems by Gauss-Jordan reduction. (KNOWLEDGE)
LO-3
Find the transpose, inverse, rank and adjoint of a matrix. (KNOWLEDGE)
LO-4
Calculate determinants using row operations, column operations, and cofactor expansion along any row ( or column). (KNOWLEDGE)
LO-5
Solve linear systems by Cramer’s rule. (KNOWLEDGE)
LO-6
Prove algebraic statements about vector addition, scalar multiplication, linear independence, spanning sets, subspaces, bases, and dimension. (KNOWLEDGE)
LO-7
Calculate eigenvalues and their corresponding eigenvectors of a square matrix. (KNOWLEDGE)
LO-8
Prove the properties of eigenvalues and eigenvectors. (KNOWLEDGE)
LO-9
Determine if a matrix is diagonalizable, and if it is, diagonalize it. (KNOWLEDGE)
LO-10
Prove statements about linear transformations. (KNOWLEDGE)
