ENGEN102-22B (TGA)

Engineering Maths and Modelling 1B

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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: maria.admiraal@waikato.ac.nz

Placement/WIL Coordinator(s)


Student Representative(s)

Lab Technician(s)


: cheryl.ward@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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The paper covers.

  • Functions and trigonometric equations
  • More calculus, particularly integration, with applications to engineering problems.
  • An introduction to statistics
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Paper Structure

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Each week students should

  • attend and actively participate in all 3 lectures.
  • attend and actively participate in the weekly workshop.
  • attend and actively participate in a one hour tutorial.
  • put in at least 5 additional hours of study.
  • watch moodle for notices and supplementary material.

Lectures will be recorded and available on panopto. Our recommendation is to use the recordings in addition to attending the lectures in person.

Note the actively participate. This is key for your success in this paper. Engineering maths is not a spectator sport---you learn by doing.

If covid alert levels change some of these activities may only be available online. Details will be provided as needed.

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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
    • Demonstrate understanding of mathematical ideas and notation related to calculus and statistics: 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 mathematics to engineering applications: appreciate how calculus and statistics (and mathematics in general) can be used as a tool in an engineering context and thus formulate an appropriate mathematical description of engineering problems. (WA2, WA4)
    • Use appropriate mathematical tools to solve problems: recognise and use appropriate mathematical techniques, especially calculus and statistics, to solve engineering problems formulated in mathematical terms (WA3, WA5)
    Linked to the following assessments:
    Workshops (1)
    Assignments (2)
    Test 1 (3)
    Test 2 (4)
    Final Test (5)
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The assessment items are listed here. For the percentage contributions of these to the final mark, see the table a little further down.

If covid-related restrictions (eg lockdowns) mean that in-person assessment is no longer possible we may move everything online. Should this happen we reserve the right to (i) adjust the weightings of each assessment item in whatever fashion seems appropriate, and (ii) change the due dates for any assessment items. How the weights change will depend on what changes we are forced to make and when during the trimester this happens.

TWO Tests.
See table below for dates. Please ensure you are available for these dates and times. Alternative dates/times will not be available. Tests will be held on-campus (unless covid alert levels do not allow this).

If a test is missed due to illness or other good reason, the lecturer must be notified as soon as practicable. Appropriate documentation (for example a medical certificate issued by a doctor) must be supplied. Should the reason be accepted an estimated grade for the missed work will be used. The estimated grade will be based on results in other assessments including the final test and on the distribution of grades in the missed assessment. Documents submitted more than 3 days after the test date will not usually be accepted.

There will be NO test resits.

A workshop grade.

  • There will be 11 workshops with quizzes to be completed at each. The best 10 will be counted. This is an in-class assessment in which working in pairs is encouraged.

A tutorial/assignment component.

  • There will be 10 assignments and the best 9 marks will be counted. Assignments should be your own work and copying may lead to a referral to the university disciplinary committee. Essentially, there is an assignment to hand in every week.
  • Each weekly assignment sheet will also include tutorial problems. There is no need to hand these in, although you are encouraged to do all of these. Practicing problem solving will improve your chances of doing well in this paper.

The best n-1 out of n policy is intended to allow students to miss one assignments/workshops 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.

A FINAL TEST, held in the B trimester exam period. This is a compulsory item of assessment.

In order to pass this paper with an unrestricted grade (Grade C- or better) you must get an overall total of 50% or greater, and ALSO at least 40% in the final test (the D rule).

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Assessment Components

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The internal assessment/exam ratio (as stated in the University Calendar) is 100:0. There is no final exam. The final exam makes up 0% of the overall mark.

The internal assessment/exam ratio (as stated in the University Calendar) is 100:0 or 0:0, whichever is more favourable for the student. The final exam makes up either 0% or 0% of the overall mark.

Component DescriptionDue Date TimePercentage of overall markSubmission MethodCompulsory
1. Workshops
  • In Class: In Workshop
2. Assignments
  • Hand-in: In Tutorial
3. Test 1
22 Aug 2022
6:00 PM
4. Test 2
10 Oct 2022
6:00 PM
5. Final Test
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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Higher Engineering Mathematics (8th edition). John Bird. Routledge 2017.

Assignment problems will be set from this text so you will need access to a copy.
The university library has online versions of other editions. The explanations in these will be fine to use, but don't assume the problem numbers will match.

NOTE: Using/buying second-hand copies of text books is a fine idea.

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Recommended Readings

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You may like to look at alternative presentations of the same material.

  • Engineering Mathematics, K. A. Stroud (with Dexter J. Booth), 7th Edition, Industrial Press, Inc. This was used in previous year. It is a good book for working through, but more difficult to dip into.
  • Schaum’s Outlines ‘Calculus’, Ayres & Mendelson, McGraw-Hill. This is the MATHS101 textbook and has many worked examples
  • Engineering Mathematics, Kreyszig, etc
  • Modern Engineering Mathematics, Glyn James, Pearson (2015 version available as an e-book via the library).
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Other Resources

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The only type of calculator you may use in the tests or the exam is a CASIO 82 variant (as used in ENGEN101). The CASIO 82 Au Plus II is a recent member in this series of calculators. If you bring a graphing or CAS calculator to a test or the exam you will not be permitted to use it.

Microsoft Excel may be used to perform tasks in the statistics part of the course. Microsoft Office 365 is available and free to all enrolled University of Waikato students. Instructions to download can be found through the following link:


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Online Support

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The Moodle page for this paper is the main forum for notices and information about the course. Assignments are posted on Moodle. The gradebook for this paper can also be accessed through Moodle. It is your responsibility to check your marks are correctly entered.

Lectures will be available online (panopto recordings). These can be accessed via the Moodle page.

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There are 5 'contact' hours each week consisting of 3 lectures, 1 workshop and 1 tutorial. Students should attend these AND spend an additional 5 hours per week in study, including doing the assignments and reading the textbook.
Additional time should be spent in preparation during study week and for tests. Altogether students should expect to commit 150 hours across the trimester for this paper. Students who are not well prepared may need more time.

Doing all the assignments questions AND all the tutorial questions is strongly recommended. Doing this is likely to substantially improve your understanding (and grade).

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Linkages to Other Papers

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Prerequisite papers: ENGEN101




Restricted papers: MATHS101, MATHS102, ENGEN183, ENGEN184

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