The University of Newcastle, Australia
Not currently offered
Course code

MATH2420

Units

10 units

Level

2000 level

Course handbook

Description

Introduces key areas of mathematics directly relevant to Electrical, Computer or Telecommunications Engineering. Provides a sound grounding in the differentiation and integration of functions of complex variables, as well as essential concepts associated with both discrete and continuous probability spaces. These topics provide an essential foundation for modern control engineering and signal processing.


Availability

Not currently offered.

This Course was last offered in Trimester 3 - 2019 (Singapore).


Learning outcomes

On successful completion of the course students will be able to:

1. Mathematical knowledge in the areas of complex variable theory and probability theory to support further engineering studies.

2. An enhanced analytical ability, in particular, improved problem-solving and abstract reasoning skills.


Content

  • Functions of a complex variable
  • Differentiation of functions
  • Cauchy's integral theorem
  • The calculus of residues - series expansions
  • Contour integration
  • Discrete and continuous probability distributions
  • Probability density functions, expectation, variance and covariance.
  • Sums of random variables
  • Hypothesis testing
  • Generating functions
  • Central limit theorem
  • Confidence intervals

Assumed knowledge

MATH1120 or MATH1220, and MATH2310.


Assessment items

Quiz: Quizzes

Formal Examination: Formal Examination: Probability & Statistics

Written Assignment: Assignments

In Term Test: Class Examination - Complex Analysis