ENGEN101-22A (TGA)

Engineering Maths and Modelling 1A

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
: buddhika.subasinghe@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 consists of two parts.

  • An introduction to calculus from an engineering perspective.
  • A brief introduction to linear algebra.

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/

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Paper Structure

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Each week students should

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

Students unable to attend on campus should

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

If the covid alert level requires it, we will shift the paper online.

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Learning Outcomes

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Students who successfully complete the course should be able to:

  • Demonstrate understanding of mathematical ideas and notation:

    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)

    Linked to the following assessments:
  • Recognise the application of mathematics to engineering applications:

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

    Linked to the following assessments:
  • Use appropriate mathematical tools to solve problems:

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

    Linked to the following assessments:
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The assessment mark will consist of :

TWO Tests each worth 15% for a total of 30%. The provisional dates, times and places for these are

  • 13/04/22 at 6:30 pm
  • 01/06/22 at 6:30 pm

The locations, and any other changes, will be notified in lectures and on moodle.

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 examination and on the distribution of grades in the missed assessment.

A workshop grade worth 5%

  • There will be 10 workshops and the best 8 will be counted. This is an in-class assessment in which group work is encouraged.
  • The best (n-2) out of n policy is intended to allow students to miss one or two workshops due to illness or other good reasons without requiring us to process medical certificates. Where serious illness may cause a more prolonged absence, please consult the lecturer.
  • Should it be necessary to move the class online, workshop assessments will be replaced by online quizzes.

A tutorial-based assignment component worth 15%

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

The FINAL EXAM is worth 50%.

  • 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 exam.

Special arrangements for tests and exams will be made ONLY for those who can document a reason (such as covid isolation) why they are unable to attend in person.

If the covid alert level rises so that in-person assessment is no longer possible, we may move everything online. Should this happen we reserve the right to adjust the weightings of each assessment in whatever fashion seems appropriate. How the weights change will depend on what changes we are forced to make and when during the semester this happens.

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's 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. Workshops
2. Assignments
3. Test 1
13 Apr 2022
6:30 PM
4. Test 2
1 Jun 2022
6:30 PM
5. 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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Higher Engineering Mathematics (9th edition), John Bird, Routledge 2017.
(The 8th edition is also acceptable.)

This text will also be used in two other Engineering Mathematics papers. It is an excellent and concise reference; a very good book to have on your shelf as an Engineer. It is highly recommend that you buy a copy.

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Recommended Readings

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Engineering Mathematics, K. A. Stroud (with Dexter J. Booth), 7th Edition, Industrial Press, Inc
We used this text in previous years. It is less concise than Bird, but it does a good job of explaining elementary concepts.

Schaum’s Outlines ‘Calculus’ (6th Edn), Ayres & Mendelson, McGraw-Hill. (Soft cover).
This is the text for MATHS101 (Intro to Calculus); useful reading for those who want more theory. Schaum's outline series books are noted for their excellent worked examples.

“Elementary Linear Algebra”, Applications Version, 11th Edition by Anton and Rorres, Wiley.
Anton is a good linear algebra text often used in MATHS102. Multiple editions are available. This one has some excellent applications.

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Other Resources

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The required calculator for tests and for the examination is a CASIO 82 variant. The CASIO 82 Au Plus II is the latest iteration in this series of calculators. These are not expensive. We have a required calculator so that we know what capabilities it has, and in order to make tests and exams fairer. Calculators are for quick calculations only. For any serious work you should be using some sort of computer package running on decent hardware. In particular graphing and CAS calculators are not required or recommended for this paper and will not be permitted in tests and exams.

Octave is a free (GPL ) implementation of MATLAB which we encourage students to download and play with. Matlab is specifically designed to carry out matrix calculations. You can search for it online. Links for download will also appear on Moodle.

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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. Panopto recordings of lectures can also be accessed via the Moodle page.

Students unable to attend in person should contact the lecturer. We have made provision for a small number of students to work totally online. There will be a zoom tutorial and those enrolled in it can also submit their work online. However we would prefer it if only those who are unable to attend in person made use of this option.

In the event of another covid lockdown, we will move everything online.

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There are 5 contact hours each week consisting of 3 lectures and 2 hours of workshop/tutorial. Students should spend an additional 5 hours per week in study doing assignments and reading the text. Additional time should be spent in preparation during study week and in tests and exams. Altogether students should expect to commit 150 hours across the semester for this paper. Students who are not well prepared may need more.
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Linkages to Other Papers

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The content of ENGEN101 has some overlap with the content of MATHS165, MATHS101 and MATHS102.

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Prerequisite papers: Any one of MATHS165, MATHS166, or FOUND007, or 14 credits at Level 3 in NCEA Calculus; or equivalent.




Restricted papers: MATHS101, ENGEN184

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