Course Description
This course introduces learners to the fundamental concepts and techniques of Linear Algebra. It covers vectors, matrices, systems of linear equations, determinants, vector spaces, linear transformations, eigenvalues, and eigenvectors. Learners will develop the knowledge and skills required to solve mathematical problems using algebraic methods and apply these concepts in fields such as engineering, computer science, data science, economics, business, and technology. The course emphasizes active learning, critical thinking, problem-solving, and practical applications through collaborative activities, real-world examples, and digital learning resources.
Course Learning Outcomes
By the end of this course, the learner should be able to:
- Explain the fundamental concepts and terminology of Linear Algebra, including vectors, matrices, and systems of linear equations.
- Apply appropriate matrix and vector operations to solve mathematical and real-life problems accurately.
- Determine determinants, matrix inverses, eigenvalues, and eigenvectors using suitable mathematical methods.
- Analyze vector spaces and linear transformations to solve problems involving linear relationships.
- Evaluate practical applications of Linear Algebra in engineering, computer science, economics, data science, and other related fields.
Interactive Learning Activities
- Think–Pair–Share
- Learners individually solve a short Linear Algebra problem, discuss their solutions with a partner, and then share their reasoning with the class.
- Collaborative Matrix Challenge
- In small groups, learners solve a series of matrix operation problems (addition, multiplication, determinant, inverse), with each member responsible for explaining one step of the solution.
- Gallery Walk
- Groups prepare solutions to different Linear Algebra problems on flip charts or digital boards. Learners rotate around the classroom, review other groups' work, provide feedback, and discuss alternative solution methods.
- Problem-Based Learning (PBL)
- Learners investigate a real-world scenario, such as using matrices to represent business transactions, computer graphics transformations, or network connections, and present how Linear Algebra can be used to solve the problem.
- Peer Teaching
- Each learner or small group is assigned a concept (e.g., vectors, determinants, eigenvalues, or linear transformations) to study and teach to their classmates using worked examples, visual aids, or short presentations. This activity reinforces understanding while promoting communication and teamwork.
- Teacher: Admin User
