Course Title: Apply mathematical techniques to scientific contexts

Part B: Course Detail

Teaching Period: Term2 2017

Course Code: MATH7064

Course Title: Apply mathematical techniques to scientific contexts

School: 174T School of VE Engineering, Health & Science

Campus: City Campus

Program: C4386 - Certificate IV in Tertiary Preparation

Course Contact: Dinah Van Ruyven

Course Contact Phone: +61 3 9925 4287

Course Contact Email:

Name and Contact Details of All Other Relevant Staff

Iain McKenzie

Nominal Hours: 70

Regardless of the mode of delivery, represent a guide to the relative teaching time and student effort required to successfully achieve a particular competency/module. This may include not only scheduled classes or workplace visits but also the amount of effort required to undertake, evaluate and complete all assessment requirements, including any non-classroom activities.

Pre-requisites and Co-requisites

There are no pre-requisites for this unit.

Course Description

The purpose of this unit is to provide learners with knowledge and skills related to basic statistics, functions and their graphs, circular functions, exponents and logarithms.

National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:

VU20934 Apply mathematical techniques to scientific contexts


1. Use unit circle definitions of trigonometric quantities, graphs of the three basic trigonometric functions and radian measure to solve mathematics problems.

Performance Criteria:

1.1 Sin θ, cos θ and tan θ are defined in terms of the unit circle and symmetry properties are used to convert the function of a negative angle or an angle greater than 90° to the function of an acute angle
1.2 Angles are converted between degrees and radian measure
1.3 The value of the three basic trigonometric ratios of any angle given in degrees or radians is determined
1.4 The graphs of y = sin x, y = cos x and y = tan x, where x is measured in degrees or radians are sketched
1.5 The graphs of y = a sin bx and y = a cos bx, giving amplitude and wavelength are sketched
1.6 Problems involving simple applications of circular functions are solved


2. Use simple algebraic functions and their graphs to solve mathematics problems.

Performance Criteria:

2.1 Simple problems involving direct and inverse proportion are solved
2.2 Given a graph, its general shape, rates of change, intercepts and asymptotes are described and its domain and range are given using set notation
2.3 The graph of a quadratic function is sketched
2.4 Given its graph, the set of co-ordinates which make up the relation or its equation determine whether a relation is a function
2.5 Quadratic equations are solved both algebraically and graphically
2.6 Equations are determined from graphs with known quadratic rules
2.7 Simultaneous equations are solved algebraically and graphically


3. Determine non-linear laws by transforming them into a linear form.

Performance Criteria:

3.1 A set of non-linear data is transformed to a linear form and the line of best fit is drawn
3.2 The corresponding non-linear formula is determined


4. Solve problems involving exponential and logarithmic functions.

Performance Criteria:

4.1 Exponential expressions are simplified using the laws of indices
4.2 Exponential equations are solved without using logarithms
4.3 Expressions are converted between exponential and logarithmic forms
4.4 Logarithms are evaluated
4.5 Applied problems are solved using logarithms and simple exponential equations
4.6 Graphs of exponential functions are drawn


5. Collect and process numerical data to illustrate its statistical properties.

Performance Criteria:

5.1 Statistical data is presented using tables and graphs
5.2 Using frequency distribution curves, determine numbers and/or percentage values which have a particular characteristic
5.3 Using cumulative frequency curves, determine percentiles for data
5.4 Measures of central tendency are determined for a given set of data giving limitation of their use in isolation
5.5 Determine measures of spread giving limitation of their use in isolation
5.6 Properties of statistical data are determined

Learning Outcomes

Details of Learning Activities

Class discussions, worksheets, assignments, quizzes and examination.

Teaching Schedule


Week Beginning Date






3rd July

1: Algebra

1.1 Linear Equations

1.2 Quadratic Equations



10th July

1.2 Quadratic Equations (cont)

1.3 Simultaneous Quadratic and Linear Equations



17th July

1.4 Cubic Equations



24th July

2: Functions


2.1 Function and Set Notation

2.2 Linear Functions

2.3 Quadratic Functions

2.4 Cubic Functions



31st July

2.4 Cubic Functions (cont)

2.5 Linearizing Functions


Assignment 1

Assignment 1 Algebra and Functions -started in class




7th August

3: Indices and Logarithms

3.1 Index Laws

3.2 Solve Indicial Equations

3.3 The Relationship Between Indices and Logarithms

Assignment 1(Algebra and Functions)
Due Friday 18th August



14th August

3.4 Exponential Graphs

3.5 Applications of Exponentials and Logarithms



21st August

Revision – Indices & Logarithms



Quiz 1 – Indices and Logarithms

Quiz 1 – Indices and Logarithms (15%)



28th August Semester break

4: Statistics




4th September


4.1 Classification and Organisation of Data

4.2 Representing Data




11th September

4.3 Measures of Central Tendency – Ungrouped Data

4.4 Measures of Central Tendency – Grouped Data




18th September





Assignment 2




 4.5 Measures of Dispersion

Assignment 2 – Statistics

Started in Class 



25th September

5: Circular Functions




5.1 Radians and the Unit Circle

5.2 Unit Circle, Symmetry, Exact Values and Identities



2nd October


5.3 Circular Functions


5.4 Applications of Circular Functions

Assignment 2 – Statistics 
Due: Friday 6th October



9th October


Circular Functions Practice – online Revision Quiz

5.4 Applications of Circular Functions



16th October

 Quiz 2


5.4 Applications of Circular Functions(cont)

Online Quiz review

Quiz 2 Circular Functions 




23rd October


Exam Revision

Exam Revision



 30th October


 Final Exam 


Learning Resources

Prescribed Texts


Other Resources

Students are required to purchase:

- a scientific calculator for use in class and when completing assessment tasks

Overview of Assessment

Assessment may consist of
written tests




Assessment Tasks






Friday 18th August

Assignment 1

Assignment 1 - Algebra and Functions (20%)


Submit at office Level 6 Building 51


Friday 25th August

Quiz 1

Quiz 1 – Indices and Logarithms (15%)


Friday 6th October

Assignment 2

Assignment 2 – Statistics (20%)


Submit at office Level 6 Building 51


Friday 20th October

Quiz 2

Quiz 2 Circular Functions (15%)



Final Exam (30%)

Assessment Matrix

Other Information

Assessment information:

This course is graded in accordance with competency-based assessment, but which also utilise graded assessment
CHD Competent with High Distinction (80 – 100%)
CDI Competent with Distinction (70 – 79%)
CC Competent with Credit (60 – 69%)
CAG Competency Achieved (50 – 59%)
NYC Not Yet Competent- graded (0 – 49%)
DNS Did Not Submit for assessment

• To pass the course you need to pass, on average, each type of assessment (exams, pracs, and assignments etc.) For example, if there are two exams you need to have an average of 50% to pass and you also need to have passed the other assessment types. You can’t make up marks from one type of assessment to another (e.g. pass the exams but fail the prac component).

• Late work that is submitted without an application for an extension (see below) will not be corrected.

• APPLICATION FOR EXTENSION OF TIME FOR SUBMISSION OF ASSESSABLE WORK - A student may apply for an extension of up to 7 days from the original due date. They must lodge the application form (available online at least 24 hours before the due date. The application is lodged with the School Admin Office on Level 6, Bdg 51. Students requiring longer extensions must apply for SPECIAL CONSIDERATION.

• For missed assessments such as exams- you (& your doctor if you are sick) must fill out a special consideration form. This form must be lodged online with supporting evidence prior to, or within, 48 hours of the scheduled time of examination


Plagiarism is the presentation of the work, idea or creation of another person as though it is your own. It is a form of cheating and is a very serious academic offence that may lead to expulsion from the University. Plagiarised material can be drawn from, and presented in, written, graphic and visual form, including electronic data and oral presentation. Plagiarism occurs when the origin of the material used is not appropriately cited. It also occurs through enabling plagiarism, which is the act of assisting or allowing another person to plagiarise or to copy your own work. Please make sure you consider this carefully in completing all your work and assessments in this course and if you are unsure about whether you might have plagiarised, seek help from your teacher.

Course Overview: Access Course Overview