Mathematical Methods and Statistics for Engineering

Overview

This unit of study aims to develop analytical skills using mathematical methods of vector calculus, probability and statistics. The unit introduces students to fundamental mathematical ideas and techniques and illustrates their application for real-world settings.

Unit learning outcomes

Students who successfully complete this unit will be able to:

1. Apply vector calculus to analyse and model processes that arise in electrical engineering applications (K2).
2. Manipulate standard probability distributions and use the maximum likelihood method to estimate distribution parameters (K2)
3. Examine how statistical hypothesis testing can be applied to datasets and perform computation using MATLAB (K2)
4. Apply principal component analysis to extract the major features of noisy data (K2).

Teaching methods

Hawthorn

Assessment

Content

• Vector Calculus
• Principal component analysis
• Probability (random variable, distributions, central limit theorem)
• Maximum likelihood method
• Statistical hypothesis testing
• Manipulation of datasets and statistical analysis in MATLAB.