Undergraduate Study

MATH1923 Multivariable Calculus and Modelling (Advanced)

General Information

MATH1923 is a Junior (or first-year) unit forming part of the Advanced Mathematics stream.

  • Credit point value: 3CP.
  • Classes per week: Two lectures and one tutorial.
  • Lecturer(s) in 2018: James Parkinson
  • Email contact address:
    Students: please check if your question can be answered by referring to the FAQ page before emailing us. If you decide to email us please include your name and SID.

Students have the right to appeal any academic decision made by the School or Faculty. For further information, see the Science Faculty web site.

You may also view the description of MATH1923 in the University's course search database.

Information sheet for MATH1923

All students should read the information sheet. The information includes (for example) details of the assessment procedure, including dates of assessment tasks.

Answers to frequently asked questions

See the main junior mathematics page for information relating to all junior mathematics units, and see in particular the Junior Maths FAQ page.

Class representatives

Cole Scott-Curwood, Hamish Dodd and Mai Le have volunteered to be your class representatives. They will meet shortly with the Head of School. We would like to know what you like about the unit and where things can be improved. If you have any issues you would like discussed, please email your representatives and let them know your views.

Online Resources

Examination information

  • Here is the cover page for the exam, and here is the table of standard integrals that will accompany the examination.
  • There will be two exam consultations: Monday 12th November, 2-4pm, and Monday 19th November, 2-4pm. Both consultations will be held in Carslaw 614.

Past exams

  • Below are some past examinations (with solutions) for the extended answer sections of the courses MATH1901 and MATH1903. Roughly speaking, MATH1901 contained approximately the multivariable calculus component of MATH1923, and MATH1903 contained approximately the differential equations component of MATH1923. I have tried to indicate which questions in these past exams are relevant for MATH1923.
  • WARNING: In MATH1923 we covered extra material that was neither in MATH1901 nor MATH1903, and hence this material is not present in the past exams below. Such topics include (but are not limited to) functions of more than two variables, linear differential equations of order more than two, quadratic approximation, optimising functions of two or more variables, the concept of differentiability of multivariable functions, and the epsilon-delta definition of a limit of a function of two or more variables. Therefore you absolutely should not treat the material in the past exams below as a complete survey of what we covered in MATH1923.
  • Also note that the exam will have a multiple choice component (see the cover page above for details).
  • MATH1901, 2013 exam and solutions (relevant questions Q2(a)(iii), Q4).
  • MATH1903, 2013 exam and solutions (relevant questions Q3, Q4).
  • MATH1901, 2014 exam and solutions (relevant questions Q2(a)(iv), Q2(b), Q2(c), Q3(c)).
  • MATH1903, 2014 exam (solutions could not be located) (relevant questions Q2, Q3).
  • MATH1901, 2015 exam and solutions (relevant questions Q2(a)(ii), Q2(a)(iv), Q2(b), Q2(c)).
  • MATH1903, 2015 exam and solutions (relevant questions Q3, Q4).
  • MATH1901, 2016 exam and solutions (relevant questions Q2(a)(ii), Q2(a)(iv), Q2(b), Q2(c), Q4(a)).
  • MATH1903, 2016 exam and solutions (relevant questions Q3, Q4).
  • MATH1901, 2017 exam and solutions (relevant questions Q2(b), Q2(c), Q3(b), Q4(a)).
  • MATH1903, 2017 exam and solutions (relevant questions Q3, Q4).

Friday's lecture of Week 3

  • There was an audiovisual problem in Friday's lecture, and the lecture was done on the whiteboard. Therefore the lecture recording for this lecture only has audio, and no visual.

Text/reference book for MATH1923

  • The text Differential Equations with Boundary Value Problems by William Trench will serve very nicely as a reference book for the differential equations component of this course, and also for future mathematics courses in differential equations. This text is freely available from the American Institute of Mathematics online text initiative. Of course this text contains much more than we cover in lectures, and I encourage you to read some of the extra material to enhance and broaden your understanding of the topics!

Consultation times for MATH1923

  • Thursdays 9:05-9:55am, Carslaw 614, James Parkinson (Weeks 2-13)
Check your marks

MATH1923 students: please check that your marks for Assignment 1 Submission and Quiz 1 have been recorded correctly by pressing the "Check marks" button.

Please note that any corrections to Assignment 1 Submission marks must be made by Friday, Sep 28.
Please note that any corrections to Quiz 1 marks must be made by Friday, Sep 28.

The teaching material appearing on this web site is intended for the use of enrolled students of the University of Sydney, and (unless otherwise specified) the University of Sydney holds copyright. Any other person or institution wishing to use any of this material must contact the university to make appropriate arrangements.

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