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UnitLevel 2Undergraduate

MTH2010 Multivariable calculus

Faculty of Science

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MTH2010 Multivariable calculus is a level 2, 6-credit-point, undergraduate unit from the Faculty of Science, offered in 2022 in Semester 1 and Semester 2 at Clayton. It has no prerequisites and unlocks 25 units, leading on to 79 units in all.

Credit points
6
Offered in 2022
Semester 1, Semester 2
Clayton
Assessment
Exam 60%
and 2 other tasks

This is the 2022 handbook entry. See the 2027 entry.

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Requisites

Before MTH2010

No prerequisites or corequisites besides the enrolment rules below.

After MTH2010

25 units list MTH2010 as a prerequisite or corequisite.

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Enrolment rules

PROHIBITION: ENG2005, ENG2091, MTH2015

PREREQUISITE: Students must have passed MTH1030, MTH1035, or MTH1040 with a mark of at least 60. Exceptions for students who passed these units with a mark in the range of 50 to 59 can be made with permission from the unit co-coordinator based on a diagnostic test.

Equivalent units

The same content under another code. Only one of them counts.

Overview

Functions of several variables, partial derivatives, extreme values, Lagrange multipliers. Multiple integrals, line integrals, surface integrals. Vector differential calculus; grad, div and curl. Integral theorems of Gauss and Stokes. 

Offerings in 2022

Teaching periodCampusMode
First semesterClaytonOn campus
Second semesterClaytonOn campus

Assessment

  • Continuous assessmentOtherThreshold hurdle
    40%
  • Continuous assessmentOther
    40%
  • Examination (3 hours and 10 minutes)ExamThreshold hurdle
    60%

Learning outcomes

When you finish this unit, you should be able to:

  1. 1

    Understand and apply multivariable calculus to problems in the mathematical and physical sciences;

  2. 2

    Find and classify the extrema of functions of several variables;

  3. 3

    Compute line, surface and volume integrals in Cartesian, cylindrical and spherical polar coordinates;

  4. 4

    Apply the integral theorems of Green, Gauss and Stokes;

  5. 5

    Present a mathematical argument in written form.

  6. 6

    Present a mathematical argument in written form.

Workload and teaching

  • Lectures36 hours
  • Applied sessions16.5 hours
  • Teaching approachActive learning
  • Three 1-hour lectures;
  • One 1.5-hour applied class (in weeks 2-12) and
  • 7.5 hours of independent study per week.

Active learning will occur in lectures and applied classes.

Learning resources

Required resources

Calculus, Metric Version by James Stewart, Thomson, 8th edition, or individual chapters.

Where it fits

MTH2010 is part of 18 areas of study in the 2022 handbook.

Contacts

Unit Coordinators
Dr Yann Bernard
Dr Kihun Nam
Chief Examiners
Dr Yann Bernard
Dr Kihun Nam

Common questions

What are the prerequisites for MTH2010?

MTH2010 has no prerequisites, but enrolment rules apply.

What can I take after MTH2010?

MTH2010 is a prerequisite or corequisite for 25 units, including ASP2062, ASP3012, ASP3051, ASP3162, CHE3162 and CHE3167. Those lead on to 79 units in all.

When is MTH2010 offered?

In 2022, MTH2010 runs in Semester 1 and Semester 2 at Clayton.

Does MTH2010 have an exam?

Yes. The exam is worth 60% of the final mark, alongside 2 other tasks.

Which majors and minors include MTH2010?

MTH2010 is part of Applied mathematics; Astrophysics; Climate and atmospheric science; Financial and insurance mathematics; and Mathematical statistics, and 3 other areas of study.

More details

Credit points
6
Level
2
Study level
Undergraduate
Faculty
Faculty of Science
Organisational unit
School of Mathematics
Type
Coursework
EFTSL
0.125
Student contribution
SCA Band 1
Study abroad
Available
Handbook years
20202021202220232024202520262027