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MAT2100 Algebra and Calculus II

Short Description: Algebra and Calculus II
Units : 1
Faculty or Section : Faculty of Health, Engineering and Sciences
School or Department : School of Agric, Comp and Environ Sciences
Student contribution band : Band 2
ASCED code : 010101 - Mathematics
Grading basis : Graded
Version produced : 21 June 2018


Pre-requisite: MAT1102 or MAT1502 or ENM1600 or Students must be enrolled in the following program: MSCN or MEPR

Other requisites

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.

Course offers

Semester Mode Campus
Semester 2, 2018 On-campus Toowoomba
Semester 2, 2018 Online