Available in 2021
Course code



10 units


3000 level

Course handbook


Introduces the basics of Fourier analysis as a prelude to applications. The course develops Fourier analysis from a general pure mathematical perspective starting with Lebesgue integration and elements of the theory of Hilbert spaces, leading to Fourier series, Fourier integrals and the fast Fourier transform, and then to applications such as partial differential equations and sampling. These subjects are of great importance to the electrical engineering and physics communities. The course concludes with more modern topics such as Gabor and wavelet transforms.

Availability2021 Course Timetables


  • Semester 1 - 2021

Learning outcomes

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

1. In-depth knowledge of Fourier analysis and its applications to problems in physics and electrical engineering.

2. An ability to communicate reasoned arguments of a mathematical nature in both written and oral form.

3. An ability to read and construct rigorous mathematical arguments.


  • Basics of Lebesgue integration
  • Elements of Hilbert spaces and orthogonal expansions
  • Fourier series and Fourier transforms of continuous data; applications to partial differential equations, sampling and uncertainty
  • Fast Fourier transform of discrete data
  • Time-frequency and time-scale analysis

Assumed knowledge

MATH2350 or (MATH2320 and MATH2330)

Assessment items

In Term Test: Class Test

Written Assignment: Homework assignments (x5)

Presentation: Presentation (x5)

Formal Examination: Examination ¿ Formal

Contact hours



Face to Face On Campus 3 hour(s) per Week for Full Term

The University of Newcastle acknowledges the traditional custodians of the lands within our footprint areas: Awabakal, Darkinjung, Biripai, Worimi, Wonnarua, and Eora Nations. We also pay respect to the wisdom of our Elders past and present.