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Introduction to Mathematical Analysis and Modelling
University of Technology Sydney - Direct Enroll Program
Sydney, Australia
Dates: 7/22/22 - 11/28/22
Introduction to Mathematical Analysis and Modelling
OVERVIEW
CEA CAPA Partner Institution: University of Technology Sydney
Location: Sydney, Australia
Primary Subject Area: Mathematics
Instruction in: English
Transcript Source: Partner Institution
Course Details: Level 100
Recommended Semester Credits: 4
Prerequisites: 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)
DESCRIPTION
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.