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: dinah.vanruyven@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
Iain McKenzie
iain.mckenzie@rmit.edu.au
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 nonclassroom activities.
Prerequisites and Corequisites
There are no prerequisites 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 
Element: 
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 
Element: 
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 
Element: 
3. Determine nonlinear laws by transforming them into a linear form. 
Performance Criteria: 
3.1 A set of nonlinear data is transformed to a linear form and the line of best fit is drawn 
Element: 
4. Solve problems involving exponential and logarithmic functions. 
Performance Criteria: 
4.1 Exponential expressions are simplified using the laws of indices 
Element: 
5. Collect and process numerical data to illustrate its statistical properties. 
Performance Criteria: 
5.1 Statistical data is presented using tables and graphs 
Learning Outcomes
Details of Learning Activities
Class discussions, worksheets, assignments, quizzes and examination.
Teaching Schedule
Week 
Week Beginning Date 
Unit 
Topic Assessments 

1 
3rd July 
1: Algebra 
1.1 Linear Equations 1.2 Quadratic Equations 

2 
10th July 
1.2 Quadratic Equations (cont) 1.3 Simultaneous Quadratic and Linear Equations 


3 
17th July 
1.4 Cubic Equations  
4 
24th July 
2: Functions 
2.1 Function and Set Notation 2.2 Linear Functions 2.3 Quadratic Functions 2.4 Cubic Functions 

5 
31st July 
2.4 Cubic Functions (cont) 2.5 Linearizing Functions  
Assignment 1 
Assignment 1 Algebra and Functions started in class  
6

7th August 
3: Indices and Logarithms 
3.1 Index Laws 3.2 Solve Indicial Equations
Assignment 1(Algebra and Functions)  
7 
14th August 
3.4 Exponential Graphs 3.5 Applications of Exponentials and Logarithms  
8 
21st August 
Revision – Indices & Logarithms  

Quiz 1 – Indices and Logarithms 
Quiz 1 – Indices and Logarithms (15%)  

28th August Semester break 
4: Statistics 
 
9 
4th September

4.1 Classification and Organisation of Data 4.2 Representing Data
 
10 
11th September 
4.3 Measures of Central Tendency – Ungrouped Data 4.4 Measures of Central Tendency – Grouped Data
 
11 
18th September 
Assignment 2

4.5 Measures of Dispersion Assignment 2 – Statistics Started in Class  
12 
25th September 
5: Circular Functions

5.1 Radians and the Unit Circle 5.2 Unit Circle, Symmetry, Exact Values and Identities  
13 
2nd October 
5.3 Circular Functions
5.4 Applications of Circular Functions
Assignment 2 – Statistics  
14 
9th October 
Circular Functions Practice – online Revision Quiz 5.4 Applications of Circular Functions  
15 
16th October 
Quiz 2 
5.4 Applications of Circular Functions(cont) Online Quiz review Quiz 2 Circular Functions  
16

23rd October 
Revision 
Exam Revision Exam Revision  
17 
30th October 
Exam 
Final Exam 
Learning Resources
Prescribed Texts
References
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
worksheets
quizzes
Assessment Tasks
Week 
Date 
Assessment 
Topic/Details 
6 
Friday 18th August 
Assignment 1 
Assignment 1  Algebra and Functions (20%)
Submit at office Level 6 Building 51 
8 
Friday 25th August 
Quiz 1 
Quiz 1 – Indices and Logarithms (15%) 
13 
Friday 6th October 
Assignment 2 
Assignment 2 – Statistics (20%)
Submit at office Level 6 Building 51 
15 
Friday 20th October 
Quiz 2 
Quiz 2 Circular Functions (15%) 
17 
EXAM 
Final Exam (30%) 
Assessment Matrix
Other Information
Assessment information:
This course is graded in accordance with competencybased 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 http://www1.rmit.edu.au/students/assessment/extension) 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 http://www1.rmit.edu.au/students/specialconsideration
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.
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