# MTH101 Computer Aided Mathematics 1 with Applications (8)

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 Outlines
Current CSU students can view Subject Outlines for recent sessions. Please note that Subject Outlines and assessment tasks are updated each session.

## Availability

Session 1 (30)
On Campus
Albury-Wodonga Campus
Bathurst Campus
Wagga Wagga Campus
Online
Wagga Wagga Campus
Session 2 (60)
Online
Wagga Wagga 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

HD/FL

One session

##### School

School 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, 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.

## Syllabus

##### This 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.