# Engineering Mathematics (MAST20029)

Undergraduate level 2Points: 12.5On Campus (Parkville)

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## Overview

Year of offer 2019 Undergraduate Level 2 MAST20029 Parkville Summer TermSemester 1Semester 2 Subject EFTSL, Level, Discipline & Census Date

This subject introduces important mathematical methods required in engineering such as manipulating vector differential operators, computing multiple integrals and using integral theorems. A range of ordinary and partial differential equations are solved by a variety of methods and their solution behaviour is interpreted. The subject also introduces sequences and series including the concepts of convergence and divergence.

Topics include: Vector calculus, including Gauss’ and Stokes’ Theorems; sequences and series; Fourier series, Laplace transforms; systems of homogeneous ordinary differential equations, including phase plane and linearization for nonlinear systems; second order partial differential equations and separation of variables.

## Intended learning outcomes

At the completion of this subject, students should be able to

• manipulate vector differential operators
• determine convergence and divergence of sequences and series
• solve ordinary differential equations using Laplace transforms
• sketch phase plane portraits for linear and nonlinear systems of ordinary differential equations
• represent suitable functions using Fourier series
• solve second order partial differential equations using separation of variables
• use MATLAB to perform simple numerical and symbolic calculations

## Generic skills

In addition to learning specific mathematical skills, students will have the opportunity to develop generic skills that will assist them in any career path. These include:

• problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies;
• analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis;
• collaborative skills: the ability to work in a team;
• time-management skills: the ability to meet regular deadlines while balancing competing tasks;
• computer skills: the ability to use mathematical computing packages.

Last updated: 2 September 2019