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The current and official versions of the course specifications are available on the web at https://www.usq.edu.au/course/specification/current.
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MAT2100 Algebra and Calculus II

Units : 1
Faculty or Section : Faculty of Health, Engineering and Sciences
School or Department : School of Sciences
Student contribution band : Band 1
Grading basis : Graded
Version produced : 24 January 2022

Requisites

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

Overview

This course follows on directly from MAT1102 Algebra and Calculus I in developing the concepts and techniques of calculus and linear algebra for application to problems in engineering and science, or as a basis for higher study in mathematics.

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, 2022 On-campus Toowoomba
Semester 2, 2022 Online
Date printed 24 January 2022