The current and official versions of the course specifications are available on the web at https://www.usq.edu.au/course/specification/current.
Please consult the web for updates that may occur during the year.

# MAT1000 Mathematics Fundamentals

 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:

1. develop and apply recognised processes to examine a number of fundamental mathematical topics essential to further tertiary study in mathematics and other fields
2. analyse and solve a range of contextualized problems involving mathematical concepts relevant to this course.
3. 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

MAT1000 Course Study Book (current year), Mathematics Fundamentals & Communication, USQ Distance Education Centre, Toowoomba.
(Available on course StudyDesk.)
Scientific calculator (non-graphical and non-programmable).