University of Technology Sydney

37132 Introduction to Mathematical Analysis and Modelling

6cp; 5hpw
Requisite(s): (35101 Introduction to Linear Dynamical Systems OR 37131 Introduction to Linear Dynamical Systems)) OR ((33230 Mathematics 2 OR 33290 Statistics and Mathematics for Science)
These requisites may not apply to students in certain courses. See access conditions.
Anti-requisite(s): 35102 Introduction to Analysis and Multivariable Calculus


This subject introduces calculus for functions of several variables and covers the underpinning concepts of calculus and real analysis, as well as the solution of coupled ordinary differential equations. Topics to be covered include the formal definitions of limits, continuity and derivatives, the mean value theorem, Riemann integration, partial derivatives, the gradient, optimisation and Lagrange multipliers, paths and path integrals in higher dimensions, integration in higher dimensions, systems of linear differential equations, solution of such systems using diagonalisation. Examples and applications are introduced throughout the subject.

Typical availability

Spring session, City campus
Summer session, City campus

Detailed subject description.

Fee information

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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.