F18ZH - Mathematics for Data Scientists 8 Advanced Linear Algebra

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Aims

This aims to provide a fundamental course in the basic methods of mathematical modelling with emphasis on linear algebra.

Syllabus

1. Linear Algebra (1.1 Systems of Linear Equations, Gaussian Elimination, Vectors and Matrices, Matrix Algebra, Inverse Matrices, Determinants, Eigenvectors and Eigenvalues, Applications to Differential Equations, Diagonalization of Matrices.)

2. Computer Algebra System (2.1 Accurately and precisely input mathematical syntax into a computer algebra system)

Learning outcomes

By the end of the course, students should be able to do the following:

solve systems of linear equations using the method of Gaussian elimination
manipulate matrices and compute their inverses and determinants
solve systems of linear differential equations using matrix eigenvalues and eigenvectors
apply mathematical concepts from this course to various disciplines in science and engineering
employ a suitable computer algebra system to illustrate some of the mathematical concepts and results in this course

Further details

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SCQF Level: 8

Credits: 7.5