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.

Session 1 (30)

On Campus

Bathurst Campus

Online

Wagga Wagga Campus

Session 2 (60)

Online

Wagga Wagga Campus

HD/FL

One session

School of Computing and Mathematics

It is assumed that students have completed the equivalent of HSC Mathematics Advanced (formerly known as 2-Unit Mathematics).

Students who have not completed HSC Mathematics Advanced or an equivalent subject in their state or country are advised to complete MTH105 Introductory Mathematics before attempting MTH101.

It is important to note that HSC Mathematics General, Mathematics Standard, Maths in Society and other subjects at a similar level that do not include calculus are not sufficient preparation for MTH101.

HSC Mathematics Advanced includes the following topics:

Working with Functions

Trigonometry and Measure of Angles

Trigonometric Functions and Identities

Introduction to Differentiation

Logarithms and Exponentials

Probability and Discrete Probability Distributions

Graphing Techniques

Trigonometric Functions and Graphs

Differential Calculus

The Second Derivative

Integral Calculus

Modelling Financial Situations

Descriptive Statistics and Bivariate Data Analysis

Random Variables

- 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; and
- be able to use Maple to help solve mathematical problems.

- 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.

The following table summarises the assessment tasks for the online offering of MTH101 in Session 2 2020. Please note this is a guide only. Assessment tasks are regularly updated and can also differ to suit the mode of study (online or on campus).

1

Compulsory diagnostic test

0

2

Functions, limits and derivatives

5

3

Functions and differentiation

10

4

Integration and gaussian elimination

10

5

Linear algebra

5

6

Final exam

70

*The information contained in the CSU Handbook was accurate at the date of publication: May 2021. The University reserves the right to vary the information at any time without notice.*