Course Title: Apply mathematical techniques to scientific contexts
Part B: Course Detail
Teaching Period: Term2 2014
Course Code: MATH7064
Course Title: Apply mathematical techniques to scientific contexts
School: 155T Vocational Health and Sciences
Campus: City Campus
Program: C4327  Certificate IV in Tertiary Preparation
Course Contact: Nancy Varughese
Course Contact Phone: +61 3 9925 4713
Course Contact Email: nancy.varughese@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
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
None
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: 1.2: 1.3: 1.4: 1.5: 1.6: 
Element: 
2 Use simple algebraic functions and their graphs to solve mathematics problems 
Performance Criteria: 
2.1: 2.2: 2.3: 2.4: 2.5: 2.6: 2.7: 
Element: 
3 Determine nonlinear laws by transforming them into a linear form 
Performance Criteria: 
3.1: 3.2: 
Element: 
4 Solve problems involving exponential and logarithmic functions 
Performance Criteria: 
4.1: 4.2: 4.3: 4.4: 4.5: 4.6: 
Element: 
5 Collect and process numerical data to illustrate its statistical properties 
Performance Criteria: 
5.1: 5.2: 5.3: 5.4: 5.5: 5.6: 
Learning Outcomes
By the end of this course, students will be able to:
 Understand technical mathematical terminology.
 Apply mathematical logic to a scientific context.
 Use a scientific calculator for complex calculations.
Details of Learning Activities
 Class discussions of mathematical theories and proofs.
 Worksheets
 Practice Exams
 Exercises
Teaching Schedule
WeekStart Date TopicExercisesEXAM WEEK: Final Exam (40%)
1  7th July  1. Basic Maths 
Induction 

2. Algebra  Linear Equations  2.1  
2  14th July  Graphing Linear Functions  2.2  
Function and Set Notation  2.3  
3  21st July  Quadratic Equations  Expanding, Factorizing and Solving  2.4  
Graphing Quadratic Functions  2.5  
4  28th July  Simultaneous Equations  2.6  
Test One: Basic Maths and Algebra (15%)  
5  4th August  3. Indices and Logarithms  Index Laws and Solving Indicial Equations  3.1 
Graphing Exponential Functions  3.2  
6  11th August  Logarithm Laws and Solving Logarithmic Equations  3.3  
Graphing Logarithmic Functions  3.4  
7  18th August  Test Two: Indices and Logarithms (15%)  
4. Statistics  Representing Data  4.1  
8  25th August  Measures of Central Tendency  4.2  
Cumulative Frequency Tables and Graphs  4.3  
MidSemester Break 1st September  5th September  
9  8th September  4. Statistics  Measures of Dispersion  4.4 
Test Three: Statistics (15%)  
10  15th September  5. Trigonometry  Pythagoras’ Theorem and Trigonometric Ratios  5.3 
Applications of Trigonometry  5.4  
11  22nd September  Degrees, Minutes and Seconds  5.1  
Conversion between Degrees and Radians  5.2  
12  29th September  The Unit Circle  5.5  
Unit Circle Symmetry  5.6  
13  6th October  Exact Values  5.7  
Trigonometric Identities  5.8  
14  13th October  6. Circular Functions  Sine and Cosine Graphs  6.1 
Tangent Graphs  6.2  
15  20th October  Applications of Circular Functions  6.3  
Test Four: Trigonometry and Circular Functions (15%)  
16  27th October  REVISION WEEK  
17  3rd November 
Learning Resources
Prescribed Texts
Scientific Calculator (not CAS or Graphing)  
SUGGESTED: Blank A4 Binder Book for Exercises or LooseLeaf Paper and a Folder. 
References
Barnes, M. et al. (2013). Maths Quest 11 Advanced General Mathematics (2nd Edition). Australia: Jacaranda Wiley 
9781118317594 
Williams, R. et al. (2010). Maths Quest 11 Mathematical Methods CAS (2nd Edition). Australia: Jacaranda Wiley. 
9781742160221 
Iampolsky, E. et al. (2010). Maths Quest 11 Standard General Mathematics: TINspire Edition. Australia: Jacaranda Wiley. 
9781742160276 
Heffernan, J. et al. (1993). Mathematical Methods VCE Units 1 & 2. Australia: The Jacaranda Press 
0701631546 
Nolan, J. et al. (2006). Maths Quest 12: Further Mathematics, VCE Mathematics Units 3 & 4 (2nd Edition). Australia: Jacaranda Wiley. 
1397807314025 
Hodgson, B. et al. (2010). Maths Quest 12 Mathematical Methods CAS: TINspire 2.0 Edition. Australia: Jacaranda Wiley. 
9781742464657 
Washington, A. J. (1995). Basic Technical Mathematics with Calculus  Metric Version (6th Edition). USA: AddisonWesley Publishing Company. 
0201766426 
Croucher, J. S. (1998). Introductory Mathematics & Statistics for Business (3rd Edition). Australia: McGrawHill. 
0074704540 
Other Resources
Overview of Assessment
Assessments for this course may include the following:
assignments, quizzes and written exams
Assessment Tasks
 Test One: Basic Mathematics and Algebra
 Test Two: Indices and Logarithms
 Test Three: Statistics
 Test Four: Trigonometry and Circular Functions
 Exam: All Topics.
Assessment Matrix
Other Information
 To pass the course you need to pass, on average, each type of assessment
 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 on the web http://mams.rmit.edu.au/seca86tti4g4z.pdf ) at least the day 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 (form available on the Web). 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 at the HUB or online with supporting evidence (eg medical certificate), prior to, or within, 48 hours of the scheduled time of examination.
 Late work that is submitted without an application for an extension will not be corrected
 If you miss an assessment task due to unavoidable circumstances, you need to follow the procedure of special consideration and apply within the allowed time frame. Note: This course will contribute to your grade average result in the Certificate IV in Tertiary Preparation (Science) qualification.
Please note that you must achieve a CREDIT average across the program to be granted a guaranteed pathway in the following programs.
Diploma of Nursing (subject to passing the VETASSESS)
Diploma of Laboratory Technology (Biotechnology)
Diploma of Technology (Pathology Testing)
Diploma of Conservation and Land Management
Diploma of Dental Technology.
Course Overview: Access Course Overview