Abstract
This subject provides an introduction to calculus and linear algebra, with an emphasis on understanding and applications addressed in geometry, physics, economics and environmental modelling. A symbolic algebra package, Maple, is used to assist with computation. Every topic will be presented geometrically, numerically and algebraically. Formal definitions will be based … For more content click the Read More button below.
Syllabus
Functions and graphs;
Limits and continuity;
The derivative;
Derivative rules;
Applications of the derivative;
The definite integral;
Integration rules;
Numerical methods of integration;
Applications of the integration;
Solving systems of linear equations;
Matrices, determinants and eigenvalues.
Assumed knowledge
Assumed knowledge for this subject is the equivalent of MTH105 or MTH400 or HSC Mathematics Advanced.
HSC Mathematics Advanced includes the following topics:Working with FunctionsTrigonometry and Measure of AnglesTrigonometric Functions and IdentitiesIntroduction to DifferentiationLogarithms and ExponentialsGraphing TechniquesTrigonometric Functions and GraphsDifferential CalculusIntegral Calculus
HSC Mathematics Advanced includes the following topics:Working with FunctionsTrigonometry and Measure of AnglesTrigonometric Functions and IdentitiesIntroduction to DifferentiationLogarithms and ExponentialsGraphing TechniquesTrigonometric Functions and GraphsDifferential CalculusIntegral Calculus
Enrolment restrictions
Available to postgraduate students only.
Incompatible