Undergraduate
Faculty of Engineering and Architecture
Civil Engineering
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Linear Algebra

Course CodeSemester Course Name LE/RC/LA Course Type Language of Instruction ECTS
MCB1004 4 Linear Algebra 4/0/0 CC English 6
Course Goals
 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-1Adequate 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-2Ability to formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.
PO-3Ability 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-4Ability 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-5Ability to design and conduct experiments, gather data, analyze and interpret results for investing complex engineering problems or discipline specific research questions.
PO-6Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
PO-7Ability 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-8Awareness 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-9Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices.
PO-10Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
PO-11Knowledge 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-1Recognize special type of matrices and perform the Matrix operations. (KNOWLEDGE)
LO-2Solve linear systems by Gauss-Jordan reduction. (KNOWLEDGE)
LO-3Find the transpose, inverse, rank and adjoint of a matrix. (KNOWLEDGE)
LO-4Calculate determinants using row operations, column operations, and cofactor expansion along any row ( or column). (KNOWLEDGE)
LO-5Solve linear systems by Cramer’s rule. (KNOWLEDGE)
LO-6Prove algebraic statements about vector addition, scalar multiplication, linear independence, spanning sets, subspaces, bases, and dimension. (KNOWLEDGE)
LO-7Calculate eigenvalues and their corresponding eigenvectors of a square matrix. (KNOWLEDGE)
LO-8Prove the properties of eigenvalues and eigenvectors. (KNOWLEDGE)
LO-9Determine if a matrix is diagonalizable, and if it is, diagonalize it. (KNOWLEDGE)
LO-10Prove statements about linear transformations. (KNOWLEDGE)
Course Assessment Matrix:
Program Outcomes - Learning Outcomes Matrix
 PO 1PO 2PO 3PO 4PO 5PO 6PO 7PO 8PO 9PO 10PO 11