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Linear Algebra (Higher Level)
University of Galway - Direct Enroll Program
Galway, Ireland
Dates: 1/7/25 - 5/11/25
Linear Algebra (Higher Level)
OVERVIEW
CEA CAPA Partner Institution: University of Galway
Location: Galway, Ireland
Primary Subject Area: Mathematics
Instruction in: English
Course Code: MA283
Transcript Source: Partner Institution
Course Details: Level 200
Recommended Semester Credits: 2.5
Contact Hours: 36
DESCRIPTION
This course covers the theory and practice of Linear Algebra and its applications.
Learning Outcomes
1. Perform matrix computations, solve linear systems of equations and determine bases of the related spaces.
2. Find the nullspace, row space and column space of a matrix; apply the rank-nullity theorem.
3. Find bases for the canonical subspaces associated with a linear transformation.
4. Use eigenvector bases to diagonalize a square matrix and use the diagonalization to analyze the properties of the matrix.
5. Compute orthogonal projections and least squares solutions of overdetermined linear systems.
6. Write proofs of facts about vector spaces and linear transformations.
7. Identify practical situations where the techniques of Linear Algebra can be applied and carry out the application.
Learning Outcomes
1. Perform matrix computations, solve linear systems of equations and determine bases of the related spaces.
2. Find the nullspace, row space and column space of a matrix; apply the rank-nullity theorem.
3. Find bases for the canonical subspaces associated with a linear transformation.
4. Use eigenvector bases to diagonalize a square matrix and use the diagonalization to analyze the properties of the matrix.
5. Compute orthogonal projections and least squares solutions of overdetermined linear systems.
6. Write proofs of facts about vector spaces and linear transformations.
7. Identify practical situations where the techniques of Linear Algebra can be applied and carry out the application.