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. Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems.
2. Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose.
3. Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose.
4. Ability to devise, select, and use modern techniques and tools needed for analysing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively.
5. Ability to design and conduct experiments, gather data, analyse and interpret results for investigating complex engineering problems or discipline specific research questions.
6. Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7. Ability to communicate effectively in Turkish, 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 instructions.
8. Recognition of the need for lifelong learning ; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
9. Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice.
10. Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
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.

Po-Lo Matrix