Linear algebra is a core subject in mathematics. It provides the algebraic foundation for advanced mathematics and has endless practical applications in industry and science, ranging from internet technologies to theoretical physics. This course in linear algebra prepares you for advanced topics in the fields of algebra, multivariable calculus, differential equations, data analysis, and financial mathematics.
Linear algebra studies solutions to systems of linear equations using matrices, and corresponding geometric objects such as vectors, lines, planes, and linear transformations of Euclidean space. It can be used to describe symmetries of space, such as rotations, reflections, and rescaling of distances. You’ll apply powerful techniques of matrix algebra to solve systems of linear equations, learn how to find the eigenvalues and eigenvectors of a linear transformation, and gain knowledge of the basic concepts and core results in linear algebra. You’ll also see how these concepts can be used to provide solutions to a variety of real-world problems.
Lecture 48, Revision 4, Independent Study 98, Assessment Preparation 50.
Spring
Problem sheets worth 30%.
Examination (2-hours) worth 70%.
Reassessment Method: Like-for-like Including composite form of reassessment for failed portfolio– written single problem sheet
On successfully completing the module, students will be able to:
1. Demonstrate a comprehensive understanding of the underlying concepts and core results of linear algebra.
2. Apply the core results and techniques to solve linear algebra problems.
3. Present and evaluate solutions to linear algebra problems rigorously.
4. Apply basic methods of linear algebra to problems in other fields.
5. Communicate their work and knowledge of linear algebra accurately and using sound arguments.
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