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. P01 Create a user interface in a contemporary object-oriented language to allow users to access business data
2. P02 Identify and analyze user needs and take them into account in the selection, creation, integration, evaluation and administration of computing-based systems
3. P03 Analyze common business functions and identify, design, and develop appropriate information technology solutions
4. P04 Design and develop software solutions for contemporary business environments by employing appropriate problem-solving strategies
5. P05 Configure and administer database server to support contemporary business environments.
6. P06 Administer or mange a relational database for a small to medium size company
7. P07 Be able to effectively integrate IT-based solutions into the user environment
8. P08 Understand professional, ethical, legal, security and social issues and responsibilities
9. P09 Be able to apply effective communication skills consistent with the professional environment
10. P10 Be able to apply effective collaboration skills in teamwork consistent with the professional environment

Po-Lo Matrix