MAT2100 Algebra and Calculus II
Pre-requisite: (MAT1102 or MAT1502) or Students must be enrolled in one of the following Programs: MSBI or GCEN or GDET or METC
This course is substantially equivalent to MAT2500. Students cannot enrol in MAT2100 if they have successfully completed, or are currently enrolled in MAT2500.
Module 1 is an introduction to ordinary differential equations (ODEs) and series including direction fields, Euler's method, first order separable ODEs, first and second order linear ODEs with constant coefficients, Taylor and Fourier series. Module 2 covers multivariable calculus including representation of functions of several variables, surfaces and curves in space, partial differentiation, optimisation, directional derivatives, gradient, divergence and curl, line integrals of the 1-st and 2-nd kinds, iterated integrals, Green's theorem. Module 3 extends the linear algebra of MAT1102 Algebra and Calculus 1 to cover eigenvalues and eigenvectors, vector space, bases, dimensions, rank, systems of linear equations, symmetric matrices, transformations, diagonalisation with applications.