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. |
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+ Subject Availability Modes and Location
| Session 1 | | Internal | Albury-Wodonga 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.
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Subject information| Duration | Grading System | School: |
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| One session | HD/FL | School of Computing and Mathematics |
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Assumed Knowledge|
This subject assumes that students have some knowledge of HSC Mathematics (previously called 2 Unit Mathematics).
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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, 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. |
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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 2015 CSU Handbook was accurate at the date of publication: 01 October 2015. The University reserves the right to vary the information at any time without notice.
