ENGEN101-21A (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

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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.
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Paper Structure

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This paper has four lectures scheduled and one tutorial per week on the timetable. The first three lectures will be run as lectures presenting new material whereas the fourth lecture together with the following tutorial will be run as a combined workshop/tutorial providing review and problem solving practice. An in-class assessment (described below) will be conducted during the workshop/tutorial.

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Learning Outcomes

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Students who successfully complete the paper should be able to:

  • Demonstrate Understanding
    • Understand the mathematical concepts in the topics covered to a basic level
    Linked to the following assessments:
  • Recognise Engineering applications
    • Recognise how these ideas can be applied in an engineering context.
    Linked to the following assessments:
  • Solve Problems
    • Utilise appropriate tools and techniques in the solution of problems
    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%.

  • Monday 12th April - 6:30 pm - Room TCBD.1.07
  • Tuesday 1st June - 6:30 pm - Room TCBD.2.03

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.

In class assessment worth 5%

  • There will be 10 in-class assessments and the best 8 marks will be counted. This is an in-class asessment in which group work is encouraged.
  • The best 8 out of 10 policy is intended to allow students to miss one or two assessments 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 tutorial component of 15%

  • There will be 10 tutorial based assignments of which the best 8 marks will be counted. Assignments should be your own work and copying may lead to referral to the university disciplinary committee.
  • The best 8 out of 10 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 FINAL EXAM 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.

If the covid alert level rises so that in-person assessment is no longer possible, we will move everything, including all assessments, 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 when during the semester this happens.

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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. In-class assessments
2. Assignments
3. Test 1
12 Apr 2021
6:30 PM
4. Test 2
1 Jun 2021
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 (8th edn.) John Bird, Routledge 2017.

This text is very affordable especially considering that it is also the required text 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 recommend you buy a copy.

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Recommended Readings

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Engineering Mathematics, K. A. Stroud (with Dexter J. Booth), 7th edn., Industrial Press, Inc

This is the text used in previous years. It is less concise than Bird, but it does a very good job of explaining elementary concepts. If you struggle with Bird this text may help. It is usually very expensive, but Bennetts got stranded with extra copies and are selling at half price.

Elementary Linear Algebra, Applications Version, 11th edn. by Anton and Rorres, Wiley.

Anton is a good linear text often used in MATHS102. Multiple editions are available. This one has some excellent applications.

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 of books are noted for their excellent worked examples.

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Other Resources

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The required calculator for tests and for the examination is a CASIO 82 variant. 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 mathematical work you should use a computer package running on decent hardware. Note well, that graphing and CAS calculators are not 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. The gradebook for this paper can be accessed through Moodle. It is your responsibility to check your marks are correctly entered.

PLEASE NOTE: Moodle will be used for class notices etc and it is your responsibility to check the site regularly. Instructions provided on Moodle and in lectures are considered to be given to the class as a whole.

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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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Prerequisite papers: Any one of MATHS165, MATHS166, MATH165, MATH166, CAFS004 or FOUND007, or 14 credits at Level 3 in NCEA Calculus; or equivalent.




Restricted papers: MATH101, MATHS101, ENGG184, ENGEN184

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