Course Title: Apply mathematical techniques to scientific contexts
Part B: Course Detail
Teaching Period: Term1 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
51.07.05
9925 4723 (On Campus Extension 54723)
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 sinx, cosx and tanx 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 degrees 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
Please refer to the Elements of Competency.
Details of Learning Activities
 discussions about the theory of mathematical concepts and their real world applications.
 exercises to consolidate knowledge
Teaching Schedule
Week 
Week Beginning Date 
Unit 
Topic Assessments 

1 
6th February 
1: Algebra 
1.1 Linear Equations 1.2 Quadratic Equations 

2 
13th February 
1.2 Quadratic Equations (cont) 1.3 Simultaneous Quadratic and Linear Equations 


3 
20th February 
1.4 Cubic Equations  
4 
27th February 
2: Functions 
2.1 Function and Set Notation 2.2 Linear Functions 2.3 Quadratic Functions 2.4 Cubic Functions 

5 
6th March 
2.4 Cubic Functions (cont) 2.5 Linearizing Functions  
Assignment 1 
Assignment 1 Algebra and Functions (20%) Due Wednesday 15th March  
6

13th March 
3: Indices and Logarithms 
3.1 Index Laws 3.2 Solve Indicial Equations Assignment 1(Algebra and Functions) Due Wednesday 15th March 3.3 The Relationship Between Indices and Logarithms  
7 
20th March 
3.4 Exponential Graphs 3.5 Applications of Exponentials and Logarithms  
8 
27th March 
Revision – Indices & Logarithms  

Quiz 1 – Indices and Logarithms 
Quiz 1 – Indices and Logarithms (15%)  
9 
3rd April 
4: Statistics 
4.1 Classification and Organisation of Data 4.2 Representing Data  
10 
10th April 17th April 
4.3 Measures of Central Tendency – Ungrouped Data 4.4 Measures of Central Tendency – Grouped Data  
11 
24th April 
4.5 Measures of Dispersion  

Assignment 2 
Assignment 2 – Statistics (20%) Started in Class – Due Wednesday 10th May  
12 
1st May 
5: Circular Functions 
5.1 Radians and the Unit Circle 5.2 Unit Circle, Symmetry, Exact Values and Identities  
13 
8th May 
5.3 Circular Functions Assignment 2 – Statistics (20%) Due Wednesday 10th May 5.4 Applications of Circular Functions  
14 
15th May 
Circular Functions Practice – online Revision Quiz 5.4 Applications of Circular Functions  
15 
22nd May 
5.4 Applications of Circular Functions(cont) Online Quiz review Quiz 2 Circular Functions (15%)  
Quiz 2  
16 
29th May 
Revision 
Exam Revision Exam Revision  
17 (Exam Week) 
5th June 
Exam 
Final Exam (30%) 
Learning Resources
Prescribed Texts
References
Other Resources
A scientific calculator is recommended for this course.
Overview of Assessment
Assessment may consist of written tests, in class activities, presentations & written reports.
Assessment Tasks
Assessment 1: 
Assignment 1 (20%) 
Assessment 2: 
Quiz 1 (15%) 
Assessment 3: 
Assignment 2 (20%) 
Assessment 4: 
Quiz 2 (15%) 
Assessment 5: 
Exam (30%) 
To be deemed competent you must demonstrate an understanding of all aspects required of the competency. Assessment methods have been designed to measure your achievement of each competency in a flexible manner over multiple tasks.
Assessment Mapping Matrix
Element/ Performance Criteria Covered 
Assign 1 
Quiz 1 
Assign 2 
Quiz 2 
Exam 
1.1 



X 
X 
1.2 



X 
X 
1.3 



X 
X 
1.4 



X 

1.5 



X 

1.6 



X 
X 
2.1 
X 




2.2 
X 




2.3 
X 



X 
2.4 
X 




2.5 
X 



X 
2.6 
X 




2.7 
X 



X 
3.1 
X 




3.2 
X 




4.1 

X 


X 
4.2 

X 



4.3 

X 


X 
4.4 

X 



4.5 

X 


X 
4.6 

X 


X 
5.1 


X 


5.2 


X 


5.3 


X 


5.4 


X 


5.5 


X 


5.6 


X 


Assessment Tasks
Assessment 
Topic/Details 
Assignment 1 
Assignment 1  Algebra and Functions (20%)
Submit at office Level 6 Building 51 
Quiz 1 
Quiz 1 – Indices and Logarithms (15%) 
Assignment 2 
Assignment 2 – Statistics (20%)
Submit at office Level 6 Building 51 
Quiz 2 
Quiz 2 Circular Functions (15%) 
EXAM 
Final Exam (30%) 
Assessment Matrix
Other Information
This course is graded in accordance with competencybased assessment, but also utilises graded assessment
CHD: Competent with High Distinction (80100%)
CDI: Competent with Distinction (7079%)
CC: Competent with Credit (6069%)
CAG: Competency Achieved – Graded (5059%)
NYC: Not Yet Competent (049%)
DNS: Did Not Submit for Assessment
Late work that is submitted without an application for an extension will not be corrected.
APPLICATION FOR EXTENSION OF TIME FOR SUBMISSION FOR ASSESSABLE WORK:
o A student may apply for an extension of up to 7 days from the original due date.
o They must lodge the application form (available online http://www1.rmit.edu.au/students/assessment/extension) at least 24 hours before the due date.
o The application is lodged with the School Admin Office on Level 6, Bdg 51, or emailed to the Coordinator (nancy.varughese@rmit.edu.au).
o Students requiring extensions longer than 7 days must apply for Special Consideration (see the “Help Me” link in blackboard, via myRMIT studies or http://www1.rmit.edu.au/students/specialconsideration).
§ 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 (eg. Medical certificate), prior to, or within, 48 hours of the scheduled time of examination.
§ If you miss an assessment task due to unavoidable circumstances, you need to follow the procedures of special consideration and apply within the allowed time frame.
Course Overview: Access Course Overview