Calculus 2 (MAST10006)
Undergraduate level 1Points: 12.5Dual-Delivery (Parkville)
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About this subject
Contact information
Summer Term
Semester 1
Semester 2
Overview
| Availability | Summer Term - Dual-Delivery Semester 1 - Dual-Delivery Semester 2 - Dual-Delivery |
|---|---|
| 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: 14 March 2025
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 (Dual-Delivery - Parkville)
Semester 2 (Dual-Delivery - Parkville)
|
12.5 |
| MAST10007 | Linear Algebra |
Summer Term (Dual-Delivery - Parkville)
Semester 2 (Dual-Delivery - Parkville)
Semester 1 (Dual-Delivery - Parkville)
|
12.5 |
| MAST10022 | Linear Algebra: Advanced | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
Corequisites
None
Non-allowed subjects
| Code | Name | Teaching period | Credit Points |
|---|---|---|---|
| MAST10009 | Accelerated Mathematics 2 | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
| MAST10021 | Calculus 2: Advanced | Semester 2 (Dual-Delivery - 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: 14 March 2025
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
Applicable to all teaching periods: Up to one third of the assignment based assessment will be completed online.
Last updated: 14 March 2025
Dates & times
- Summer Term
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 4 January 2022 to 15 February 2022 Last self-enrol date 12 January 2022 Census date 21 January 2022 Last date to withdraw without fail 4 February 2022 Assessment period ends 25 February 2022 Summer Term contact information
- Semester 1
Principal coordinator TriThang Tran Mode of delivery Dual-Delivery (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 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
- Semester 2
Principal coordinator Anthony Morphett Mode of delivery Dual-Delivery (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 25 July 2022 to 23 October 2022 Last self-enrol date 5 August 2022 Census date 31 August 2022 Last date to withdraw without fail 23 September 2022 Assessment period ends 18 November 2022 Semester 2 contact information
Time commitment details
Estimated total time commitment of 170 hours
Last updated: 14 March 2025
Further information
- Texts
- 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 Environments Course Bachelor of Biomedicine Informal specialisation Bachelor of Design Elective Subjects Informal specialisation Science Discipline subjects - new generation B-SCI Major Discrete Mathematics / Operations Research Informal specialisation Environments Discipline subjects Major Applied Mathematics Major Pure Mathematics Major Spatial Systems Major Environmental Science Major Engineering Systems Major Statistics / Stochastic Processes Breadth Track Mechanical Engineering Breadth Track Mathematics for Economics Breadth Track Electrical Engineering Breadth Track Chemical Engineering Breadth Track Mathematics and Statistics - 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.
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