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Introduction to Mathematics (MAST10012)
Undergraduate level 1Points: 12.5Dual-Delivery (Parkville)
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About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Semester 1
Overview
Availability | Semester 1 - Dual-Delivery |
---|---|
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
On completion of this subject, students should be able to:
- 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
OR
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10017 | Fundamentals of Mathematics | Semester 2 (On Campus - Dookie) |
12.5 |
OR
Subject Coordinator approval
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
Semester 1
Description | Timing | Percentage |
---|---|---|
Attendance Hurdle requirement: Students are required to attend at least 16 out of 22 practice classes to be eligible for assessment. | During the teaching period | N/A |
Eight to ten assignments (written or online) due at regular intervals amounting to a total of up to 50 pages (Up to one third of the assignment based assessment will be completed online)
| During the teaching period | 20% |
A written examination
| During the examination period | 80% |
Additional details
Last updated: 11 April 2024
Dates & times
- Semester 1
Principal coordinator Alba Santin Garcia Mode of delivery Dual-Delivery (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 28 February 2022 to 29 May 2022 Last self-enrol date 11 March 2022 Census date 31 March 2022 Last date to withdraw without fail 6 May 2022 Assessment period ends 24 June 2022 Semester 1 contact information
Time commitment details
Estimated total time commitment of 170 hours
Last updated: 11 April 2024
Further information
- Texts
Prescribed texts
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 Major Property Major Engineering Systems Informal specialisation Environments Discipline subjects Major Construction Major Spatial Systems - Breadth options
This subject is available as breadth in the following courses:
- Bachelor of Arts
- Bachelor of Design
- Bachelor of Environments
- Bachelor of Fine Arts (Acting)
- Bachelor of Fine Arts (Animation)
- Bachelor of Fine Arts (Dance)
- Bachelor of Fine Arts (Film and Television)
- Bachelor of Fine Arts (Music Theatre)
- Bachelor of Fine Arts (Production)
- Bachelor of Fine Arts (Screenwriting)
- Bachelor of Fine Arts (Theatre)
- Bachelor of Fine Arts (Visual Art)
- Bachelor of Music
- 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.
- Available to Study Abroad and/or Study Exchange Students
This subject is available to students studying at the University from eligible overseas institutions on exchange and study abroad. Students are required to satisfy any listed requirements, such as pre- and co-requisites, for enrolment in the subject.
Last updated: 11 April 2024