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Introduction to Mathematics (MAST10012)
Undergraduate level 1Points: 12.5On Campus (Parkville) and Online
About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Overview
Availability | Summer Term - Online Semester 1 - On Campus |
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Fees | Look up fees |
Students will strengthen and develop algebraic and conceptual skills, building a firm mathematical base for MAST10005 Calculus 1.
Fundamental concepts about number systems and set theory will be followed by introductory counting principles and techniques. These will be applied to the laws of probability, leading to the study of discrete and continuous random variables. Basic ideas about functions and their inverses will be introduced using examples such as the logarithmic, exponential and trigonometric functions. Differential and integral calculus will be studied with applications to graph sketching and optimization problems. Students will also learn integration techniques, with applications to areas between curves.
Intended learning outcomes
Students completing this subject should
- Understand fundamental concepts of number systems and counting techniques and be able to use logic and set notation;
- Understand the concept of a mathematical function, domain, range and inverse function;
- Be able to apply transformations and the ideas of sum, difference, product and composite functions to graphing polynomial, exponential, logarithmic and circular functions;
- Understand the derivative as a limit and use the product, quotient and chain rules of differentiation with polynomial, circular, exponential and logarithmic functions and apply these techniques to graph sketching and optimisation problems;
- Understand the process of integration as anti-differentiation and be able to find definite and indefinite integrals of polynomials, exponential and circular functions with application to calculating the area of a region under a curve and between curves;
- Understand the fundamental concepts of probability and be able to calculate probabilities for discrete and continuous random variables, including binomial and normal probabilities.
Generic skills
In addition to learning specific mathematical skills, students will have the opportunity to develop generic skills that will assist them in any career path. These include:
- Problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies;
- Analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis;
- Collaborative skills: the ability to work in a team;
- Time management skills: the ability to meet regular deadlines while balancing competing commitments.
Last updated: 11 April 2024
Eligibility and requirements
Prerequisites
Successful completion of VCE Mathematical Methods 1/2 or equivalent - coordinator approval is required
OR
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10017 | Fundamentals of Mathematics | Semester 2 (On Campus - Dookie) |
12.5 |
Corequisites
None
Non-allowed subjects
Students with a study score of 25 or more in VCE Mathematical Methods 3/4 or equivalent will not be permitted to enrol in this subject for credit.
This subject is not available to students enrolled in the Bachelor of Science.
Inherent requirements (core participation requirements)
The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.
Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home
Last updated: 11 April 2024
Assessment
Additional details
For Summer term (online): The course is split into two modules (Functions & Calculus and Probability) which need to be taken concurrently. Functions & Calculus will run for the full 6 weeks, Probability for the first 4 weeks.
6 assignments (one per week) with 4 from the Functions & Calculus module and 2 from the Probability module (24%)
Written examination (3 hour) at the end of semester 76%
For Semester 1:
Nine written or online assignments due at weekly intervals during semester amounting to a total of up to 25 pages (15%), three written or online skills tests held in the first 3 weeks of semester (5%), and a 3-hour written examination in the examination period (80%).
Students are required to attend at least 16 out of 22 practice classes to be eligible for assessment.
Last updated: 11 April 2024
Dates & times
- Summer Term - Online
Principal coordinator John Banks Mode of delivery Online Contact hours Students are encouraged to participate in weekly online consultations (available by appointment). Total time commitment 170 hours Teaching period 2 January 2018 to 16 February 2018 Last self-enrol date 11 January 2018 Census date 12 January 2018 Last date to withdraw without fail 9 February 2018 Assessment period ends 24 February 2018 - Semester 1 - On Campus
Principal coordinator Thomas Wong Mode of delivery On Campus (Parkville) Contact hours 3 x one hour lectures per week, 2 x one hour practice classes per week. Total time commitment 170 hours Teaching period 26 February 2018 to 27 May 2018 Last self-enrol date 9 March 2018 Census date 31 March 2018 Last date to withdraw without fail 4 May 2018 Assessment period ends 22 June 2018
Time commitment details
Estimated total time commitment of 170 hours
Last updated: 11 April 2024
Further information
- Texts
Prescribed texts
Summer Term: All materials are available online through the LMS.
Semester 1: Lecture notes for MAST10012, Department of Mathematics and Statistics.
Recommended texts and other resources
M Evans, K Lipson, P Jones and S Avery, Essential Mathematical Methods 3 & 4 CAS, Cambridge University Press, 2010
- Subject notes
This subject is not available for science credit or commerce credit in any course.
This subject is equivalent for pre-requisite purposes to VCE Mathematical Methods 3/4.
Students with a score of 25 or more in VCE Mathematical Methods 3/4 will not be permitted to enrol in this subject. - Related Handbook entries
This subject contributes to the following:
Type Name Informal specialisation Environments Discipline subjects Major Construction Major Engineering Systems Major Spatial Systems Major Property - Breadth options
This subject is available as breadth in the following courses:
- Available through the Community Access Program
About the Community Access Program (CAP)
This subject is available through the Community Access Program (also called Single Subject Studies) which allows you to enrol in single subjects offered by the University of Melbourne, without the commitment required to complete a whole degree.
Entry requirements including prerequisites may apply. Please refer to the CAP applications page for further information.
Last updated: 11 April 2024