Introduction to Mathematics (MAST10012)
Undergraduate level 1Points: 12.5On Campus (Parkville)
Overview
Availability | Semester 1 |
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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
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: 14 March 2025
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 | No longer available |
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: 14 March 2025
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 |
Six to eight assignments (written or online) due at regular intervals amounting to a total of up to 40 pages (Up to one half of the assignment based assessment will be completed online)
| During the teaching period | 15% |
A written mid-semester test
| Mid semester | 15% |
A written examination
| During the examination period | 70% |
Additional details
Last updated: 14 March 2025
Dates & times
- Semester 1
Coordinator Sally Kuhlmann 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 2024 to 26 May 2024 Last self-enrol date 8 March 2024 Census date 3 April 2024 Last date to withdraw without fail 3 May 2024 Assessment period ends 21 June 2024 Semester 1 contact information
Time commitment details
Estimated total time commitment of 170 hours
What do these dates mean
Visit this webpage to find out about these key dates, including how they impact on:
- Your tuition fees, academic transcript and statements.
- And for Commonwealth Supported students, your:
- Student Learning Entitlement. This applies to all students enrolled in a Commonwealth Supported Place (CSP).
Subjects withdrawn after the census date (including up to the ‘last day to withdraw without fail’) count toward the Student Learning Entitlement.
Last updated: 14 March 2025
Further information
- Texts
- Subject notes
- Related Handbook entries
This subject contributes to the following:
Type Name Major Spatial Systems Major Construction Major Engineering Systems Major Property Informal specialisation Environments Discipline subjects - 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.
Please note Single Subject Studies via Community Access Program is not available to student visa holders or applicants
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
Last updated: 14 March 2025