In most Australian universities, the engineering degrees contain three explicit MATH courses which they cover one and two variable calculus, linear algebra, complex numbers, statistics (probability, random variables, etc), Fourier series, differential equations and Laplace transform. For electrical engineering students, they will obviously learn more mathematics but it is usually a part of the electrical engineering subjects and not explicit mathematics subjects. I believe an Australian electrical engineering student does not study topology, group theory, real and functional analysis and other advanced mathematics simply because those topics are not a part of an electrical engineering degree in Australia.
I think (but unsure) that the undergraduate electrical engineering programs in US require students to take much more math subjects.
Let's suppose that someone completes his electrical engineering degree in Australia and he applies for a mathematical research area of electrical engineering (signal processing, control theory) in graduate school in USA. Suppose that he is a good candidate overall; will graduate admission committee be concerned about Australian students mathematical ability? How do electrical engineering graduate school make sure that the Australian applicants have the required mathematical skills to complete the graduate program successfully?