MATHS203-22B (HAM)

Differential Equations and Modelling

15 Points

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Division of Health Engineering Computing & Science
School of Computing and Mathematical Sciences
Department of Mathematics and Statistics


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Paper Description

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The paper introduces the use of applied mathematics in science and engineering. The focus is on how ordinary and partial differential equations are used to formulate mathematical models and obtain concrete results.

The learning outcomes for this paper are linked to Washington Accord graduate attributes WA1-WA11. Explanation of the graduate attributes can be found at:

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Paper Structure

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This is a lecture/tutorial-based paper with four contact hours per week -- 3 lectures and 1 tutorial. Lectures will be delivered live and will be recorded and posted on Moodle.

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Learning Outcomes

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Students who successfully complete the paper should be able to:

  • apply knowledge of differential equations to formulate and to solve science and engineering problems (WA1).
    Linked to the following assessments:
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The assessment mark will consist of :

Two Tests each worth 16% for a total of 32%

  • Tests are to be held during class time. Dates to be determined.
  • If a test is missed due to illness or other good reason, the lecturer must be notified as soon as practicable.

A assignment component of 18%

  • There will be 10 or 11 tutorial based assignments of which only the best 8 or 9 marks will be counted. Assignments should be your own work and copying may lead to referral to the university disciplinary committee.
  • The best (n-2) policy is intended to allow students to miss one or two assignments due to illness or other good reason without requiring us to process medical certificates. Where serious illness may cause a more prolonged absence, please consult the lecturer.

The external exam worth 50%

  • The "D" rule: The requirements for an unrestricted pass (C-­ or better) are a minimum overall mark of 50% for the whole paper and a minimum mark of 40% for the exam.
  • Exam (3-hour long) will be held during one of the two exam weeks, to be scheduled centrally by the university.

If you are enrolled on a BE(Hons), samples of your work may be required as part of the Engineering New Zealand accreditation process for BE(Hons) degrees. Any samples taken will have the student name and ID redacted. If you do not want samples of your work collected then please email the engineering administrator, Natalie Shaw (, to opt out.

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Assessment Components

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The internal assessment/exam ratio (as stated in the University Calendar) is 50:50. There is no final exam. The final exam makes up 50% of the overall mark.

The internal assessment/exam ratio (as stated in the University Calendar) is 50:50 or 0:0, whichever is more favourable for the student. The final exam makes up either 50% or 0% of the overall mark.

Component DescriptionDue Date TimePercentage of overall markSubmission MethodCompulsory
1. Assignments
2. Test 1
3. Test 2
4. Exam
Assessment Total:     100    
Failing to complete a compulsory assessment component of a paper will result in an IC grade
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Required and Recommended Readings

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Required Readings

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G.F. Simmons. Differential equations with applications and historical notes (3rd edition). Available for download from library.

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Recommended Readings

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Krantz. Differential Equations: Theory, technique and practice. (Online download from library. This is the updated version of Simmons aimed at engineers.)

Boyce & DiPrima. Elementary differential equations. QA372.B73

Bronson. Schaum's Outlines on differential equations. QA371.A9

S. Imhoff. Differential equations in 24 hours. QA371.I43

E.D. Rainville, P.E. Bedient. Elementary differential equations. QA371.R29

I. Savov. No bullshit guide to math & physics. QA39.3.S28

Library books on differential equations are listed under QA371 and QA372.

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Online Support

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Moodle will be used for communication, including posting of assignment sheets.
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10 hours per week, including 4 contact hours.
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Linkages to Other Papers

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Prerequisite papers: MATHS101 and MATHS102; or minimum B grade in ENGEN102.




Restricted papers: ENGEN201

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