Course Title: Apply mathematical techniques to scientific contexts
Part B: Course Detail
Teaching Period: Term1 2015
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 non-classroom activities.
Pre-requisites and Co-requisites
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: sin x, cos x and tan x 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 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 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
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
- discussions about the theory of mathematical concepts and their real world applications.
- exercises to consolidate knowledge
Teaching Schedule
WeekUnit, Topic, Assessments
1 | Unit 1 – Algebra
Mon: Orientation (no class today) Thur: 1.1 – Linear Equations |
2 | Mon: 1.2 – Quadratic Equations Thur: 1.3 – Simultaneous Linear and Quadratic Equations |
3 | Mon: 1.4 – Cubic Equations Unit 2 – Functions Thur: 2.1 – Function and Set Notation |
4 | Mon: 2.2 – Linear Functions Thur: 2.3 – Quadratic Functions |
5 | Mon: 2.4 – Cubic Functions Thur: 2.5 – Linearizing Functions |
6 | In Class Assignment 1: Algebra and Functions (20%) |
7 | Unit 3 – Indices and Logarithms
Mon: 3.1 – Index Laws Thur: 3.2 – Solving Indicial Equations |
8 | Mon: 3.3 – Relationship Between Indices and Logarithms Thur: 3.4 – Exponential Graphs (Mid – Semester Break 4th April – 12th April) |
9 | Mon: 3.5 – Applications of Exponentials and Logarithms Thur: Quiz 1 – Indices and Logarithms (10%) |
10 | Unit 4 – Statistics
Mon: 4.1 – Types of Data and Organising Data Thur: 4.2 – Graphical Representations of Univariate Data |
11 | Mon: 4.3 – Measures of Central Tendency Thur: 4.4 – Measures of Spread |
12 | In Class Assignment 2: Statistics (20%) |
13 | Unit 5 – Circular Functions
Mon: 5.1 – The Unit Circle and Symmetry Thur: 5.2 – Applications of the Unit Circle in Trigonometry |
14 | Mon: 5.3 – Basic Graphs of Sine, Cosine, and Tangent Functions Thur: 5.4 – Transformations of Sine and Cosine Functions |
15 | Mon: 5.5 – Applications of Circular Functions Thur: Quiz 2 – Circular Functions (10%) |
16 | Mon and Thur: Revision of all topics. |
17 | Exam Week
Thursday 11th June: Open Book Exam – All Topics (40%) |
Learning Resources
Prescribed Texts
References
Other Resources
A scientific calculator is recommended for this course. Graphical calculators are not allowed.
Overview of Assessment
Assessments for this course may include the following:
assignments, quizzes and written exams
Assessment Tasks
- In Class Assignment 1 (Algebra and Functions) 20%
- Quiz 1 (Indices and Logarithms) 10%
- In Class Assignment 2 (Statistics) 20%
- Quiz 2 (Circular Functions) 10%
- Final Exam 40%
Assessment Matrix
Other Information
This course is graded in accordance with competency-based assessment, but which also utilises graded assessment
CHD- Competent with High Distinction (80 – 100%)
CDI- Competent with Distinction (60 – 79%)
CC- Competent with Credit (50 – 59%)
CAG- Competency Achieved – Graded (0 – 49%)
NYC- Not Yet Competent
DNS- Did Not Submit for assessment
- All assessment types must be passed (exams, prac, and assignments etc.). For example, if there are two tests you need to have an average of 50% to pass. You can’t make up marks from one type of assessment to another (e.g. pass the tests but fail the prac component).
- Late work that is submitted without an application for an extension 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, or emailed to the Coordinator (nancy.varughese@rmit.edu.au).
- Students requiring extensions longer than 7 days must apply for Special Consideration (see the ‘Help me’ link in blackboard, via myRMIT studies orhttp://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 (e.g. 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 procedure of special consideration and apply within the allowed time frame.
Course Overview: Access Course Overview