Techniques for modelling (Advanced)

This unit develops a comprehensive understanding of basic linear algebra and advanced calculus, equipping you with versatile techniques and skills applicable within the natural sciences, engineering, computer science, economics and many other disciplines. 

The first half of the unit is dedicated to linear algebra. Topics covered include: solution of systems of linear equations, Gauss-Jordan algorithm, reduced row echelon form, matrix operations, inverses and determinants, linear independence, subspaces, linear transformations, eigenvectors and eigenvalues, diagonalization of matrices, Cayley-Hamilton theorem and various applications of linear algebra.

The second half of the unit is dedicated to calculus. Topics covered include: limits and continuity, L’Hôpital’s rule, infinite sequences and series, Taylor and general power series, solution of various types of differential equations such as separable and linear first and second order differential equations.

This unit is the advanced stream of MTH1030.