EP30.TOCB1101 — Algebra

This course provides a systematic introduction to linear algebra, focusing on both theoretical foundations and practical problem-solving techniques. The course covers core concepts and methods, including systems of linear equations, matrices and determinants, vector spaces, bases, linear transformations, and their properties. Emphasis is placed on mathematical reasoning, computational proficiency, and the effective use of linear algebraic methods.

Students will develop the ability to apply linear algebra techniques to model, analyze, and solve problems arising in economics, business, engineering, and related applied disciplines. The course strengthens logical thinking, abstract reasoning, and quantitative analysis skills essential for advanced study.

Algebra (Linear Algebra) provides the foundational knowledge and competencies required for further coursework in mathematics and related fields, and supports continued academic study at higher levels.

Requirements for Final Examination

Attendance score must be at least 5 (according to University regulations).

See Appendix 2, Rubric 1 for attendance evaluation.

Requirements for Class Attendance

Students are responsible for attending all classes. In case of absence from school due to force majeure reasons, sufficient and reasonable proof must be provided. For each absence, 1 point will be deducted 1 point. Students who miss any classes more than 3 times, with or without reason, will be considered as failing to complete the course and have to re-register.

Students will be awarded points for constructive comments. These points are added to attendance points and group assignments (if any).

Individuals/groups who do not submit the group work will receive a score of 0 (zero). Late submissions will be deducted for each day of late submission.

Requirements for In-class Behaviour

The course is conducted on the principle of respecting learners and lecturers. Any behaviour that affects the teaching and learning process is strictly prohibited.

Students must come to class on time. Students who are late more than 10 minutes after class starts will not be allowed to attend the class. Do not make noise and affect others during the learning process.

Laptops and tablets are only used for the purpose of taking notes for and calculating for lectures and exercises, absolutely forbidden to use for other purposes

The course content is organized into six chapters:

• Chapter 1. Systems of Linear Equation
• Chapter 2. Matrix algebra
• Chapter 3. Determinants and diagonalization
• Chapter 4. Vector spaces
• Chapter 5. Linear transformations
• Chapter 6. Change of basis