MTH101 Computer Aided Mathematics 1 with Applications (8)
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 Location
Session 1 

Internal  AlburyWodonga Campus  Internal  Bathurst Campus  Internal  Wagga Wagga Campus  Distance  Wagga Wagga Campus  Session 3 

Distance  Bathurst Campus 
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.


Subject informationDuration  Grading System  School: 

One session  HD/FL  School of Computing and Mathematics 


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



Learning OutcomesUpon 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, 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. 


SyllabusThe 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. 


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The information contained in the 2016 CSU Handbook was accurate at the date of publication: 06 September 2016. The University reserves the right to vary the information at any time without notice.