# Intermediate Mathematics 1

Course code EPMATH135
Available in 2016

## Description

This course is an intermediate level mathematics course which covers the introductory concepts as in EPMATH134 Introductory Mathematics 1 as well as further skills in algebra and functions and further practice in problem solving. The course content includes skills in numeracy, algebra, linear and non-linear functions, graphing, exponential and logarithmic theory. The course aims to provide a sound foundation in a wide range of basic mathematical skills and in their application to problem solving.

Recommended for degrees in Business, Commerce, Information Technology and the Sciences, including degrees in Health Science, Social Science and Behavioural Science.

### Availability

#### Ourimbah

• Semester 1 - 2016
• Semester 1 - 2017

#### Callaghan

• Semester 1 - 2016
• Semester 1 - 2017

### Learning Outcomes

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

1. have obtained a background in number theory, algebra, functions, graphing and exponential and logarithmic theory

2. demonstrated a broad understanding of the subject area, which together with EPMATH235 Intermediate Mathematics 2, is suitable for undergraduate studies in Business, Commerce, Science and the Health Sciences and other areas with a mathematical content.

3. have acquired critical reasoning and problem solving skills in order to solve mathematical problems.

### Content

1. Number theory: place value, directed number, order of operations, numerical indices, scientific notation
2. Fractions and Decimals: factors, multiples, operations with fractions and decimals, approximation using decimal places or significant figures
3. Ratio and Percentages: simplifying ratios, percentages, application to simple interest
4. Use of Scientific Calculator
5. Rates: basics, rate conversions
6. Basic algebra: basics, laws, substitution, simplification, expansion including binomials, indices, fractions, factorisation
7. Equations: basic, fractional, word problems, solving equations with powers and roots, changing the subject of the formula, simultaneous equations
8. Exponentials and Logarithms: exponential and logarithmic notation, solution of exponential equations using logarithms, application to compound interest
9. Linear Functions: equation of a straight line, graphing linear functions intersection of lines, line of best fit, applications
10. Non-linear functions: graphs of quadratic, cubic, reciprocal, exponential functions; applications.

### Requisite

You can only enrol in this course if you are active in the Open Foundation Program or the Yapug Program. You cannot enrol in this course if you have successfully completed or are enrolled in EPMATH134 or EPMATH153.

### Assumed Knowledge

Advanced or Intermediate Level School Certificate Mathematics or equivalent. Students who have not studied mathematics for some time may benefit from taking a Mathematics Bridging course before enrolling in this course.

### Assessment Items

Quiz: Quizzes

In Term Test: Class Test

Formal Examination: Final Exam

### Contact Hours

#### Callaghan and Ourimbah

##### Lecture

Face to Face On Campus 2 hour(s) per Week for 12 Weeks

##### Tutorial

Face to Face On Campus 1 hour(s) per Week for 11 Weeks