Course overview
This course will develop concepts in calculus and apply them to problems using analytic and software techniques, along with elementary skills for proving mathematical statements. Contents include: A review of the topics in Calculus 1 with a viewpoint of mathematical analysis, i.e. in more depth: proof of facts in limits and continuity, differentiation, integration; Integration techniques: simple substitutions, integration by parts, rational functions and partial fractions, trigonometric substitutions; Polar coordinates, equations of simple curves and integration; L’Hopital’s rule; Improper integrals. Sequences, convergence of sequences; Infinite series, convergence tests for series, Maclaurin and Taylor series; Calculus in two and three variables: limits and continuity, partial differentiation, illustration of multivariable optimisation problems; Proofs of most theorems involved in the above topics.
Fee calculator
To display course fees, please select your status and program below:
We’re updating this Fee Calculator. It currently shows fees for programs only. Please check the relevant program for full fee details.
Study Abroad student tuition fees are available here.
Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information.
The Student Contribution amount displayed below is for students commencing a new program from 2021 onwards. If you are continuing in a program you commenced prior to 1 January 2021, or are commencing an Honours degree relating to an undergraduate degree you commenced prior to 1 January 2021, you may be charged a different Student Contribution amount from the amount displayed below. Please check the Student Contribution bands for continuing students here. If you are an international student, or a domestic student studying in a full fee paying place, and are continuing study that you commenced in 2025 or earlier, your fees will be available here before enrolments open for 2026.