Calculus 2 (MAST10006)

Undergraduate level 1Points: 12.5On Campus (Parkville)

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Overview

Availability
Summer Term
Semester 1
Semester 2
FeesLook up fees

MAST10006 Calculus 2 is a core mathematics subject providing the foundation for further studies in mathematics, statistics and other quantitative fields. Calculus 2 extends knowledge from secondary school mathematics and MAST10005 Calculus 1, and develops logical thinking and the ability understand and communicate mathematical arguments. Students also learn how to use mathematical concepts in applications and how to interpret the results of mathematical models in context.

Topics include: limits and continuity of functions of one variable; sequences; series; Taylor series and polynomials; hyperbolic functions and their inverses; complex exponential; techniques of integration including hyperbolic and trigonometric substitutions; first order ordinary differential equations including separation of variables method, integrating factor method for linear ODEs, and qualitative analysis; applications of first order differential equations such as population models and mixing problems; second order ordinary differential equations including constant coefficient linear homogeneous and inhomogeneous; applications of second order ordinary differential equations such as springs; functions of two variables including sketching surfaces, limits and continuity, partial derivatives and directional derivatives, tangent planes, chain rule for partial derivatives, stationary points and their classification using the Hessian, and double integrals over rectangular regions.

 

Intended learning outcomes

Students completing this subject will be able to:



  • Communicate mathematical solutions clearly and logically, using correct mathematical notation and vocabulary
  • Identify relevant mathematical techniques or concepts to use for a particular task
  • Apply techniques of calculus to solve mathematical problems
  • Model real world applications using calculus
  • Interpret mathematical solutions to applied problems in context

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: 9 April 2025

Eligibility and requirements

Prerequisites

A study score of at least 29 in VCE Specialist Mathematics 3/4, or equivalent

OR

Code Name Teaching period Credit Points
MAST10005 Calculus 1
Semester 2 (On Campus - Parkville)
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: 9 April 2025

Assessment

Semester 1

DescriptionTimingPercentage

Six to eight assignments (written or online) due at regular intervals (approximately 24 hours total)

  • 24 hours
From Week 2 to Week 1220%

A written mid-semester test

  • 45 minutes
Mid semester20%

A written examination

  • 3 hours
During the examination period60%

Semester 2

DescriptionTimingPercentage

Six to eight assignments (written or online) due at regular intervals (approximately 24 hours total)

  • 24 hours
From Week 2 to Week 1220%

A written mid-semester test

  • 45 minutes
Mid semester20%

A written examination

  • 3 hours
During the examination period60%

Summer Term

DescriptionTimingPercentage

Three to four assignments (written or online) due at regular intervals (approximately 24 hours total)

  • 24 hours
Throughout the teaching period20%

A written mid-semester test

  • 45 minutes
Mid semester20%

A written examination

  • 3 hours
During the examination period60%

Additional details

Applicable to all teaching periods: Up to one third of the assignment based assessment will be completed online.

Last updated: 9 April 2025

Dates & times

  • Summer Term
    CoordinatorBinzhou Xia
    Mode of deliveryOn Campus (Parkville)
    Contact hours6 x one hour lectures per week, 2 x one hour practice classes per week.
    Total time commitment170 hours
    Teaching period 7 January 2025 to 18 February 2025
    Last self-enrol date15 January 2025
    Census date24 January 2025
    Last date to withdraw without fail 7 February 2025
    Assessment period ends28 February 2025

    Summer Term contact information

    xia.b@unimelb.edu.au

  • Semester 1
    CoordinatorAlba Santin Garcia
    Mode of deliveryOn Campus (Parkville)
    Contact hours3 x one hour lectures per week, 1 x one hour practice class per week.
    Total time commitment170 hours
    Teaching period 3 March 2025 to 1 June 2025
    Last self-enrol date14 March 2025
    Census date31 March 2025
    Last date to withdraw without fail 9 May 2025
    Assessment period ends27 June 2025

    Semester 1 contact information

    alba.santingarcia@unimelb.edu.au

  • Semester 2
    CoordinatorAnthony Morphett
    Mode of deliveryOn Campus (Parkville)
    Contact hours3 x one hour lectures per week, 1 x one hour practice class per week.
    Total time commitment170 hours
    Teaching period28 July 2025 to 26 October 2025
    Last self-enrol date 8 August 2025
    Census date 1 September 2025
    Last date to withdraw without fail26 September 2025
    Assessment period ends21 November 2025

    Semester 2 contact information

    a.morphett@unimelb.edu.au

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: 9 April 2025

Further information

Last updated: 9 April 2025