LINEAR ALGEBRA

Course Description

The aim of this course is to introduce the basic operations in linear algebra and applications in engineering problems; matrices, matrix properties and matrix operations: Addition, scalar multiplication, multiplication, transpose, solution of system of linear equations: Elimination method, Gauss Jordan forms, inverse method to solve linear systems, row reduced echelon forms, Gaussian elimination method, inverse and determinants: solving linear equations with determinant (Cramer's rule), use one row to evaluate determinant, minor, cofactor, adjoint matrix, identity matrix, square matrix of the matrices. Real vector spaces, vectors and their properties and applications in engineering: Addition, subtractions, dot product, scalar multiplication, cross product, basis, dimensions and subspaces.

LINEAR ALGEBRA

Evaluation Tools (Active Term)

Course outcomes

1. 01 Solve linear equations
2. 02 Apply Matrix Operations
3. 03 Find determinants
4. 04 Find inverse matrix
5. 05 Find Cofactor Matrix
6. 06 Apply Cramer Rule

Course Syllabus

Reference Books & Course Materials

1. 01 Seymour Lipschutz; 2011, “Schaum's Outline of Linear Algebra; 5 th Edition, ISBN 0-07-136200-2.
2. 02 Gilbert Strang; Linear Algebra and Applications, 4 th Edition, ISBN-10: 0030105676, ISBN-13: 9780030105678.

Learning Outcomes

1. L01 By the completion of the course the students should be able to do the following:
2. L02 Solve linear equations
3. L03 Matrix operations
4. L04 Calculate determinants
5. L05 Find inverse matrix
6. L06 Understand vector space and do simple operations with vectors

Program Outcomes

1. Should be able to write effective reports, understand written reports, and prepare design and production reports.
2. Should have the ability to make effective presentations.
3. Should have the ability to give and have clear and understandable instructions.
4. Should gain consciousness (awareness) about the necessity of lifelong learning.
5. Should have the ability to access information.
6. Should have the ability to follow developments in science and technology and constantly renew himself/herself.
7. Should gain the awareness of professional and ethical responsibility and should act in accordance with ethical principles.
8. Should gain knowledge about the standards used in engineering applications.
9. Should gain knowledge about project management, risk management, and change management practices in business life.
10. Should gain awareness about entrepreneurship, and innovation.
11. Should gain knowledge about development in sustainability.
12. Should gain knowledge about the effects of engineering practices on health, environment, and security at universal and social dimensions and the problems of the age reflected in the field of engineering.
13. Awareness should be gained about the legal consequences of engineering solutions.
14. Should have sufficient knowledge in mathematics, science, and subjects specific to the relevant engineering discipline.
15. Should have the ability to use theoretical and applied knowledge in mathematics, science, and related engineering disciplines in complex engineering problems.
16. Should have the ability to detect, define, formulate, and solve complex engineering problems.
17. Should have the ability to select and apply appropriate analysis and modeling methods to solve complex engineering problems.
18. Should have the ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions.
19. Should have the ability to apply modern design methods.
20. Should have the ability to develop, select, and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications.
21. Should have the ability to use information technologies effectively.
22. Should have the ability to design experiments, for the study of complex problems or discipline-specific research topics.
23. Should have the ability to conduct experiments, collect data, analyze and interpret results for the study of complex problems or discipline-specific research topics.
24. Should have the ability to work in intradisciplinary teams.
25. Should have the ability to work in interdisciplinary teams.
26. Should have the skills to work individually.
27. Should have the ability to communicate effectively verbally and in writing.
28. Should have the knowledge of at least one foreign language.

Po-Lo Matrix