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 on investigation and practical problems.

Session 1 (30)

On Campus

Bathurst Campus

Wagga Wagga Campus

Online

Wagga Wagga Campus

Session 2 (60)

Online

Wagga Wagga Campus

HD/FL

One session

School of Computing and Mathematics

This subject assumes that students have some knowledge of HSC Mathematics (previously called 2 Unit Mathematics).

- Be able to graph and solve equations involving the most common functions including algebraic, exponential, logarithmic and trigonometric functions;
- Be able to calculate limits;
- Be able to differentiate simple functions, including implicit functions;
- Be able to use derivatives in applications, including rates of change, graphing, optimisation and approximation;
- Be able to integrate simple functions, analytically and numerically;
- Be able to use integrals in applications, including area, volume, arclength and average;
- Be able to describe the connections between a function, its derivative and its integral;
- Be able to solve systems of linear equations;
- Be able to perform addition, subtraction, scalar multiplication, matrix multiplication, transposition and inversion of matrices;
- Be able to calculate a determinant of a matrix;
- Be able to calculate eigenvalues and eigenvectors of a matrix;
- Be able to use differentiation, integration and linear algebra to solve a wide range of applied problems;
- Be able to use Maple to help solve mathematical problems.

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.

For further information about courses and subjects outlined in the CSU handbook please contact:

- Online enquiry
- 1800 ASK CSU (1800 275 278)

*The information contained in the CSU Handbook was accurate at the date of publication: May 2019. The University reserves the right to vary the information at any time without notice.*