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Calculus 2 (MAST10006)
Undergraduate level 1Points: 12.5Dual-Delivery (Parkville) and On Campus (Parkville)
From Semester 1, 2023 our undergraduate programs will be delivered on campus. Graduate programs will mainly be delivered on campus, with dual-delivery and online options available to a select number of subjects within some programs.
To learn more, visit 2023 Course and subject delivery.
About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Summer Term
Semester 1
Semester 2
Overview
| Availability | Summer Term - Dual-Delivery Semester 1 - On Campus Semester 2 - On Campus |
|---|---|
| Fees | Look up fees |
This subject will extend knowledge of calculus from school. Students are introduced to hyperbolic functions and their inverses, the complex exponential and functions of two variables. Techniques of differentiation and integration will be extended to these cases. Students will be exposed to a wider class of differential equation models, both first and second order, to describe systems such as population models, electrical circuits and mechanical oscillators. The subject also introduces sequences and series including the concepts of convergence and divergence.
Calculus topics include: intuitive idea of limits and continuity of functions of one variable, sequences, series, hyperbolic functions and their inverses, level curves, partial derivatives, chain rules for partial derivatives, directional derivative, tangent planes and extrema for functions of several variables. Complex exponential topics include: definition, derivative, integral and applications. Integration topics include: techniques of integration and double integrals. Ordinary differential equations topics include: first order (separable, linear via integrating factor) and applications, second order constant coefficient (particular solutions, complementary functions) and applications.
Intended learning outcomes
Students completing this subject should be able to:
- calculate simple limits of a function of one variable;
- determine convergence and divergence of sequences and series;
- sketch and manipulate hyperbolic and inverse hyperbolic functions;
- evaluate integrals using trigonometric and hyperbolic substitutions, partial fractions, integration by parts and the complex exponential;
- find analytical solutions of first and second order ordinary differential equations, and use these equations to model some simple physical and biological systems;
- calculate partial derivatives and gradients for functions of two variables, and use these to find maxima and minima.
Generic skills
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future 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; and
- time-management skills: the ability to meet regular deadlines while balancing competing commitments.
Last updated: 3 June 2023
Eligibility and requirements
Prerequisites
A study score of at least 29 in VCE Specialist Mathematics 3/4, or equivalent
OR
One of
| Code | Name | Teaching period | Credit Points |
|---|---|---|---|
| MAST10005 | Calculus 1 |
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
|
12.5 |
| MAST10007 | Linear Algebra |
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
Summer Term (Dual-Delivery - Parkville)
|
12.5 |
| MAST10022 | Linear Algebra: Advanced | Semester 1 (On Campus - Parkville) |
12.5 |
Corequisites
None
Non-allowed subjects
| Code | Name | Teaching period | Credit Points |
|---|---|---|---|
| MAST10009 | Accelerated Mathematics 2 | Semester 2 (On Campus - Parkville) |
12.5 |
| MAST10021 | Calculus 2: Advanced | Semester 2 (On Campus - Parkville) |
12.5 |
MAST10019: Calculus Extension Studies
Students may not enrol in MAST10005 Calculus 1 and MAST10006 Calculus 2 concurrently.
Bachelor of Science students are permitted to complete a maximum of three level-1 Mathematics and Statistics subjects. They are not permitted to complete all four of MAST10005, MAST10006, MAST10007 and MAST10010
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: 3 June 2023
Assessment
Semester 1
| Description | Timing | Percentage |
|---|---|---|
Eight to ten assignments (written or online) due at regular intervals (approximately 30 hours total)
| Throughout the teaching period | 20% |
A written examination
| During the examination period | 80% |
Semester 2
| Description | Timing | Percentage |
|---|---|---|
Eight to ten assignments (written or online) due at regular intervals (approximately 30 hours total)
| Throughout the teaching period | 20% |
A written examination
| During the examination period | 80% |
Summer Term
| Description | Timing | Percentage |
|---|---|---|
Four to five assignments (written or online) due at regular intervals (approximately 30 hours total)
| Throughout the teaching period | 20% |
A written examination
| During the examination period | 80% |
Additional details
The Dual-Delivery subject availability has On Campus assessment components. Students approved to complete this subject during the Summer 2023 study period offshore will be contacted to confirm their assessment arrangements.
Applicable to all teaching periods: Up to one third of the assignment based assessment will be completed online.
Last updated: 3 June 2023
Dates & times
- Summer Term - Dual-Delivery
Principal coordinator Binzhou Xia Mode of delivery Dual-Delivery (Parkville) Contact hours Summer Semester: 6 x one hour lectures per week, 2 x one hour practice classes per week. Semester 1 and 2: 3 x one hour lectures per week, 1 x one hour practice class per week. Total time commitment 170 hours Teaching period 3 January 2023 to 14 February 2023 Last self-enrol date 11 January 2023 Census date 20 January 2023 Last date to withdraw without fail 3 February 2023 Assessment period ends 24 February 2023 Summer Term contact information
- Semester 1 - On Campus
Coordinator Anthony Morphett Mode of delivery On Campus (Parkville) Contact hours 3 x one hour lectures per week, 1 x one hour practice class per week. Total time commitment 170 hours Teaching period 27 February 2023 to 28 May 2023 Last self-enrol date 10 March 2023 Census date 31 March 2023 Last date to withdraw without fail 5 May 2023 Assessment period ends 23 June 2023 Semester 1 contact information
- Semester 2 - On Campus
Coordinator Craig Hodgson Mode of delivery On Campus (Parkville) Contact hours 3 x one hour lectures per week, 1 x one hour practice class per week. Total time commitment 170 hours Teaching period 24 July 2023 to 22 October 2023 Last self-enrol date 4 August 2023 Census date 31 August 2023 Last date to withdraw without fail 22 September 2023 Assessment period ends 17 November 2023 Semester 2 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).
- Completion rate. Students who started their course from 2022 and are in a CSP or receiving a HELP Loan (eg FEE-HELP) must meet the completion rate to continue to receive Commonwealth Support for that course.
Subjects withdrawn after the census date (including up to the ‘last day to withdraw without fail’) count toward the Student Learning Entitlement, and as a fail toward the completion rate, unless there are approved ‘special circumstances’.
Last updated: 3 June 2023
Further information
- Texts
Prescribed texts
There are no specifically prescribed or recommended texts for this subject.
- Subject notes
This subject is available for science credit to students enrolled in the BSc (both pre-2008 and new degrees), BASc or a combined BSc course.
Students with a score of 40 or more in VCE Specialist Mathematics 3/4 are strongly encouraged to enrol in both
- MAST10008 Accelerated Mathematics 1
- MAST10009 Accelerated Mathematics 2
instead of both
- MAST10006 Calculus 2
- MAST10007 Linear Algebra
Students with a study score of 29 in VCE Specialist Mathematics 3/4 or equivalent, are eligible to enrol in MAST10005 Calculus 1, MAST10006 Calculus 2 or MAST10007 Linear Algebra. Such students should seek course advice before completing their enrolment.
- Related Handbook entries
This subject contributes to the following:
Type Name Course Bachelor of Biomedicine Course Bachelor of Environments Major Engineering Systems Major Statistics / Stochastic Processes Informal specialisation Bachelor of Design Elective Subjects Informal specialisation Science Discipline subjects - new generation B-SCI Major Applied Mathematics Major Pure Mathematics Major Discrete Mathematics / Operations Research Informal specialisation Environments Discipline subjects Major Environmental Science major Major Spatial Systems Breadth Track Mathematics and Statistics Breadth Track Mathematics for Economics Breadth Track Electrical Engineering Breadth Track Mechanical Engineering Breadth Track Chemical Engineering - Breadth options
This subject is available as breadth in the following courses:
- Bachelor of Arts
- Bachelor of Commerce
- 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: 3 June 2023