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: C3305  Certificate III in Science
Course Contact: Namrita Kaul
Course Contact Phone: +61 3 9925 4309
Course Contact Email: namrita.kaul@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
Name: Mr Iain McKenzie
Room: 51.07.05
Phone: 9925 4723 (On Campus Extension 54723)
Email: 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 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 
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 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 coordinates 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 
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 3.2 The corresponding nonlinear formula is determined 
Element: 
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 
Element: 
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
Learning Activities will consist of:
face to face teaching
worksheets
take home assignments
in class quizzes
Teaching Schedule
Weekly 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 3.3 The Relationship Between Indices and Logarithms
Due: Friday 18th August  
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  
28th August to 1st September: Mid Semester Break (No classes)  
9 
4th September 
4: Statistics 
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 
4.5 Measures of Dispersion  

Assignment 2 
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 Assignment 2 – Statistics Due: Friday 6th October 5.4 Applications of Circular Functions  
14 
9th October 
Circular Functions Practice – online Revision Quiz 5.4 Applications of Circular Functions  
15 
16th October 
5.4 Applications of Circular Functions(cont) Online Quiz review Quiz 2 Circular Functions  
Quiz 2  
16 
23th October 
Revision 
Exam Revision Exam Revision  
17

30th October 
Exam 
Final Exam 
Learning Resources
Prescribed Texts
References
Other Resources
Overview of Assessment
Assessment may consist of written tests, in class activities, presentations & written reports.
Assessment Tasks
Assessments:
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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