Course Code	Semester	Course Name	LE/RC/LA	Course Type	Language of Instruction	ECTS
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Course Goals	To teach basic concepts of linear algebra for engineering students
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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	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(%)

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. LO-10 Prove statements about linear transformations.

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