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# 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
InternalAlbury-Wodonga Campus
InternalBathurst Campus
InternalWagga Wagga Campus
DistanceWagga Wagga Campus
Session 3
DistanceBathurst 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 information

One sessionHD/FLSchool of Computing and Mathematics

### Assumed Knowledge

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

### Learning Outcomes

 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.

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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.