# 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 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 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 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 Element: 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 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

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 3.3 The Relationship Between Indices and Logarithms Assignment 1(Algebra and Functions) 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 (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  Due: Friday 6th October 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

 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 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 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.

Course Overview: Access Course Overview