Semester 1, 2022 Online | |

Units : | 1 |

Faculty or Section : | Faculty of Health, Engineering and Sciences |

School or Department : | School of Mathematics, Physics & Computing |

Student contribution band : | Band 1 |

Grading basis : | Graded |

Version produced : | 18 May 2022 |

## Staffing

**Examiner:**
Nathan Downs

## Overview

Students entering tertiary studies in many fields require quantitative literacy and expertise in mathematics and problem solving. Building a sound basis for tertiary studies, this course develops fundamental mathematical competencies, and skills in reading, writing and communicating mathematics effectively.

This course develops fundamental mathematical concepts for many fields of study. Topics included are: basic arithmetic, measurement, basic algebra, functions and graphing, exponential, logarithmic and trigonometric functions. Skills are developed in reading, writing and communicating mathematical and quantitative information effectively in a range of settings.

## Course learning outcomes

On successful completion of this course students will be able to:

- develop and apply recognised processes to examine a number of fundamental mathematical topics essential to further tertiary study in mathematics and other fields
- analyse and solve a range of contextualized problems involving mathematical concepts relevant to this course.
- effectively communicate mathematical concepts and express fundamental mathematical solutions in a variety of forms.

## Topics

Description | Weighting(%) | |
---|---|---|

1. | Introduction - mathematical studies, writing and communication. | 2.00 |

2. | Arithmetic - real numbers, order of operations, calculations, fractions, scientific notation, metric system, index laws, absolute value, inequalities | 10.00 |

3. | Algebra - algebraic indices and fractions, solving linear and quadratic equations, factorisation, simultaneous equations | 14.00 |

4. | Counting Techniques - permutations, combinations, the Binomial Theorem, Sets and Partitions | 10.00 |

5. | Geometry - Euclidean geometry, congruence, Pythagoras' Theorem, polygons and circles | 10.00 |

6. | Relations and Functions - analytical geometry, definition of functions and relations, graphs of straight lines, parabolas, graphical solution of equations | 14.00 |

7. | Exponential and Logarithmic Functions - exponential and logarithmic functions and graphs, solution of exponential and logarithmic equations | 10.00 |

8. | Trigonometry - trigonometric ratios and basic identities, solution of triangles, trigonometric functions and graphs, solution of trigonometric equations | 10.00 |

9. | Applications of these topics to problem solving | 10.00 |

10. | Mathematical reading, writing, reasoning and communicating in a range of settings, and interpretation and critique of quantitative information | 10.00 |

## Text and materials required to be purchased or accessed

*Mathematics Fundamentals & Communication*, USQ Distance Education Centre, Toowoomba.

(Available on course StudyDesk.)

## Student workload expectations

To do well in this subject, students are expected to commit approximately 10 hours per week including class contact hours, independent study, and all assessment tasks. If you are undertaking additional activities, which may include placements and residential schools, the weekly workload hours may vary.

## Assessment details

Description | Group Assessment |
Weighting (%) | Course learning outcomes |
---|---|---|---|

Quiz | No | 10 | 1 |

Problem Solving 1 | No | 30 | 2,3 |

Problem Solving 2 | No | 30 | 2,3 |

Problem Solving 3 | No | 30 | 2,3 |