# Engineering mathematics

University of Melbourne

## Course Description

• ### Course Name

Engineering mathematics

• ### Host University

University of Melbourne

• ### Location

Melbourne, Australia

• ### Area of Study

Engineering Science, Mathematics

• ### Language Level

Taught In English

• ### Prerequisites

One of:

MAST10006 - Calculus 2

MAST10009 - Accelerated mathematics 2

Plus one of:

MAST10007 - Linear Algebra

MAST10008 - Accelerated Mathematics 1

• ### Course Level Recommendations

Upper

ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

### Hours & Credits

• Host University Units

12.5
• Recommended U.S. Semester Credits
3 - 4
• Recommended U.S. Quarter Units
4 - 6
• ### Overview

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.

### Course Disclaimer

Courses and course hours of instruction are subject to change.

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.