Course Title: Apply mathematical techniques to scientific contexts
Part B: Course Detail
Teaching Period: Term1 2016
Course Code: MATH7064
Course Title: Apply mathematical techniques to scientific contexts
School: 155T Vocational Health and Sciences
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
Marjorie Furlan
marjorie.furlan@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 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
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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 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. |
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
- discussions about the theory of mathematical concepts and their real world applications.
- exercises to consolidate knowledge
Teaching Schedule
Week/Date |
Unit |
Topic |
Assessment |
1 9th February |
1: Algebra |
1.1 Linear Equations |
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2 16th February |
1.3 Simultaneous Quadratic and Linear Equations |
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3 23rd February |
2: Functions |
2.1 Function and Set Notation |
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4 1st March |
2.3 Quadratic Functions
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5 8th March |
2.5 Linearizing Functions
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Assignment 1 Algebra and Functions (20%) Due 22nd March
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6 15th March |
3: Indices and Logarithms |
3.1 Index Laws |
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7 22nd March |
3.4 Exponential Graphs |
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Mid Semester Break | |||
8 5th April |
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Quiz 1 – Indices and Logarithms (15%) |
9 12th April |
3: Indices and Logarithms |
Quiz feedback
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4: Statistics
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4.1 Classification and Organisation of Data |
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10 19th April |
4.2 Representing Data
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11 26th April |
4.4 Measures of Central Tendency – Grouped Data |
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12 3rd May |
5.1 Circular Functions
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5.1 Radians and the Unit Circle |
Assignment 2 – Statistics (20%) Due 10th May
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13 10th May |
5.2 Unit Circle, Symmetry, Exact Values and Identities |
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14 17th May |
5.3 Circular Functions |
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15 24th May |
Exam Revision |
Quiz 2 Circular Functions (15%)
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16 31st May |
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Exam Revision |
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17 7th June
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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
· Assignment 1 – Algebra and Functions (20%) Due 22nd March
· Quiz 1 – Indices and Logarithms (15%) 5th April
· Assignment 2 – Statistics (20%) Due 10th May
· Quiz 2 – Circular Functions (15%) 24th May
· Final Exam – Algebra, Functions, Indices and Logarithms, Statistics and Circular Functions (30%) 7th June
Assessment Matrix
Other Information
This course is graded in accordance with competency-based assessment, but also utilises graded assessment
CHD: Competent with High Distinction (80-100%)
CDI: Competent with Distinction (70-79%)
CC: Competent with Credit (60-69%)
CAG: Competency Achieved – Graded (50-59%)
NYC: Not Yet Competent (0-49%)
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