35102 Introduction to Analysis and Multivariable Calculus
6cp; 5hpw (Spring semester), 9hpw (Summer session)Requisite(s): (35101 Introduction to Linear Dynamical Systems OR ((33230 Mathematical Modelling 2 OR 33290 Statistics and Mathematics for Science)))
Many problems in business and science involve the study of systems with many interrelated (examples include the study of investment portfolios and the analysis of ecological systems). This subject introduces students to the principles of calculus for functions of several variables required in such applications, and to the theoretical foundations of mathematics that underpin them. Topics include vectors; products of vectors; equations of lines and planes; functions of several variables; partial derivatives and gradient; double integrals; sequences and their convergence; continuous and uniformly continuous functions; properties of continuous functions on a closed interval; differentiability; power series, tests for convergence and radius of convergence; Taylor and Maclaurin series; sequences and series of functions and Weierstrass M-test; upper and lower sums; and the Riemann integral.
Typical availability
Spring semester, City campus
Summer session, City campus
Detailed subject description.
Fee information
- 2013 contribution for commencing Commonwealth-supported students: $1045 (Note: Students who commenced prior to 1 January 2010 should consult the Fees Calculator by Subject for relevant student contribution charges for Commonwealth-supported students. Not all students are eligible for Commonwealth-supported places.)
- 2013 amount for undergraduate domestic fee-paying students: $3000 (Note: Fees for postgraduate domestic fee-paying students and international students are charged according to the course they are enrolled in. Students should refer to the annual fees schedule.)
- Subject EFTSL: 0.125
Access conditions
Note: The requisite information presented in this subject description covers only academic requisites. Full details of all enforced rules, covering both academic and admission requisites, are available at access conditions and My Student Admin.
