# Engineering Mathematics 4B

MTH20002 12.5 Credit Points Hawthorn, Sarawak

### Duration

• One Semester or equivalent

### Contact hours

• 60 hours

On-campus unit delivery combines face-to-face and digital learning.

or
BOTH

### Aims and objectives

This unit has been replaced with MTH20012

This unit of study aims to provide students with the mathematical and statistical knowledge and skills to support their engineering studies.

After successfully completing this unit, you should be able to:
1 Construct and interpret various graphical representations and summary statistics of datasets. (K2)
2 Apply appropriately probability concepts including unconditional and conditional probability, probability distributions, population measures of location and dispersion. (K2, S1, S2)
3 Construct and interpret quantile-quantile plots. (K2)
4 Apply the basic concepts of statistical inference including interval estimation, sample size and hypothesis testing in various contexts. (K2, S1, S2)
5 Use concepts in correlation and regression, goodness-of-fit to analyse relationships in bivariate data. (K2, S1, S2)
6 Apply the basic principles of statistical control theory. (K2, S1)
7 Apply complex analysis to analyse harmonic and analytic functions. (K2, S2)
8 Calculate the eigenvalues and eigenvectors of 2x2 and 3x3 matrices. (K2, S2)
9 Interpret the quadratic form and find its canonical form. (K2, S2)
10 Use the Cayley-Hamilton theorem to simplify nonlinear matrices. (K2, S2)
11 Use appropriate mathematical and statistical software to assist with the above objectives. (K2, S1, S2)

Swinburne Engineering Competencies for this Unit of Study
This Unit of Study will contribute to you attaining the following Swinburne Engineering Competencies:
K2 Maths and IT as Tools: Proficiently uses relevant mathematics and computer and information science concepts as tools.
S1 Engineering Methods: Applies engineering methods in practical applications.
S2 Problem Solving: Systematically uses engineering methods in solving complex problems.