COMPX367-22B (HAM)

Computational Mathematics

15 Points

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

Staff

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Convenor(s)

Sean Oughton

Sean Oughton
8326
G.3.07
See Moodle
sean.oughton@waikato.ac.nz

Stephen Joe

Stephen Joe
4073
G.2.28
See Moodle
stephen.joe@waikato.ac.nz

Lecturer(s)

Administrator(s)

: maria.admiraal@waikato.ac.nz

Placement/WIL Coordinator(s)

Tutor(s)

Student Representative(s)

Lab Technician(s)

Librarian(s)

: alistair.lamb@waikato.ac.nz

You can contact staff by:

  • Calling +64 7 838 4466 select option 1, then enter the extension.
  • Extensions starting with 4, 5, 9 or 3 can also be direct dialled:
    • For extensions starting with 4: dial +64 7 838 extension.
    • For extensions starting with 5: dial +64 7 858 extension.
    • For extensions starting with 9: dial +64 7 837 extension.
    • For extensions starting with 3: dial +64 7 2620 + the last 3 digits of the extension e.g. 3123 = +64 7 262 0123.
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Paper Description

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This paper is worth 15 points. It provides an introduction to computational methods in mathematics as well as the issues that arise when they are used.

You will need to write some computer programs. Suitable programming languages include C, Fortran, Python, Julia, Matlab. If you wish to use a language other than one of these, you must first get permission from Professor Oughton.

The information provided in this paper outline is accurate at the time it was written. However, the information provided is subject to change if circumstances change (e.g. Government or University directives).

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Paper Structure

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Four hours of classes a week are timetabled. Please attend them all.
In most weeks the Tuesday class will be used as a tutorial.

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Learning Outcomes

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Students who successfully complete the paper should be able to:

  • The learning outcomes for this paper are linked to Washington Accord graduate attributes WA1-WA11

    Explanation of the graduate attributes can be found at: https://www.ieagreements.org/

    • Demonstrate understanding of mathematical ideas and notation related to computational solution of engineering problems:

      Understand foundational mathematical concepts, notation and ideas to a sufficient level to recognise, understand and work with these concepts as they arise in engineering texts, applications, and other engineering papers. (WA1, WA9, WA11)

    • Recognise the application of computational mathematics to engineering applications:

      Appreciate how computational mathematics can be used as a tool in an engineering context and thus formulate an appropriate computational mathematics description of engineering problems. (WA1, WA2, WA4)

    • Use appropriate computational mathematical tools to solve problems:

      Recognise and use appropriate techniques from computational mathematics to solve engineering problems formulated in mathematical terms (WA1, WA3, WA5)

    Linked to the following assessments:
  • Some specific objectives include
    • Approximate functions using Taylor polynomials and obtain error bounds on these approximations
    • Demonstrate awareness and understanding of the limitations and problems associated with finite precision arithmetic and overcome them in certain situations
    • Demonstrate awareness and understanding of the various computational techniques associated with the topics covered and be able to apply them in calculations
    • Demonstrate awareness and understanding of the limitations of the various computational techniques covered
    • Derive some of the computational techniques covered
    • Obtain rates of convergence and/or error bounds for relevant computational techniques covered
    Linked to the following assessments:
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Assessment

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Assignments.
Essentially weekly in the first 6 weeks, with two more in the second 6 weeks.

Tests.
The two tests will each be up to 90 minutes. They will use the regular Tuesday class (at 4pm) and the following hour.
See below for dates.

Final Exam.
This is a compulsory item of assessment. The "D" rule applies: 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 final examination.

Samples of work for accreditation purposes.
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 (natalie.shaw@waikato.ac.nz), 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. 5 assignments (weekly for the first 6 weeks)
5
  • Hand-in: In Lecture
2. Test 1
23 Aug 2022
4:00 PM
20
  • Other: Hand-in at end of test
3. Assignment (SJ1)
30 Sep 2022
6:00 PM
2.5
  • Online: Submit through Moodle
4. Test 2
11 Oct 2022
4:00 PM
20
  • Other: Hand-in at end of test
5. Assignment (SJ2)
21 Oct 2022
6:00 PM
2.5
  • Online: Submit through Moodle
6. Final Exam: D rule applies
50
✔
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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Relevant Lecture Notes may be made available on Moodle as the trimester progresses.
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Recommended Readings

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A pdf file of the book First Steps in Numerical Analysis (2nd ed.) by R. J. Hosking, S. Joe, D. C. Joyce, & J. C. Turner and published by Edward Arnold will also be made available on Moodle.
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Other Resources

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It is intended that the classes will be recorded using Panopto.
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Online Support

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Moodle will be used to provide online support. Moodle will contain copies of any important notices (such as information about the tests), and eventually listings of your current internal assessment marks. It is your responsibility to check that your marks on the listings are correct.
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Workload

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The average weekly workload is 9.5 hours including the three hours of lectures and one hour of tutorial.
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Linkages to Other Papers

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Some of the material in this paper may also be taught in ENGEN301 Engineering Mathematics and Modelling 3.
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Prerequisite(s)

Prerequisite papers: ((MATHS101 and MATHS102) or (ENGEN101 and ENGEN102)) and one of COMPX101 or ENGEN103.

Corequisite(s)

Equivalent(s)

Restriction(s)

Restricted papers: ENGEN301, MATHS304, COMPX567

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