MTH101 Computer Aided Mathematics 1 with Applications (8)
CSU Discipline Area: Mathematics and Statistics (MASTA)
Duration: One session
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 on investigation and practical problems.
+ Subject Availability Modes and Locations
| Session 1 | |
|---|---|
| Internal | Albury-Wodonga |
| Internal | Bathurst |
| Internal | Wagga Wagga |
| Distance * | Wagga Wagga | Session 3 |
| Distance * | Bathurst |
*This subject offering contains a residential school. Please view following information for further details.
Continuing students should consult the SAL for current offering details: MTH101
Where differences exist between the Handbook and the SAL, the SAL should be taken as containing the correct subject offering details.
Assumed Knowledge:
This subject assumes that students have some knowledge of HSC Mathematics (previously called 2 Unit Mathematics).
Objectives:
Upon successful completion of this subject, students should:
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, arc-length 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.
Syllabus:
The subject will cover the following topics:
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.
Residential School
This subject contains a optional 2 day residential school.
The residential school consists of several interactive lectures and a session in a computer lab.
The program will include revision on differentiation, lectures and practice on integration, introduction to Maple (including some time on a computer) and introduction to Gaussian elimination (which is very helpful for the Algebra topics).
The information contained in the 2013 CSU Handbook was accurate at the date of publication: 24 April 2013. The University reserves the right to vary the information at any time without notice.