ENGEN301-21A (HAM)

Engineering Maths and Modelling 3

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)

Lecturer(s)

Administrator(s)

: maria.admiraal@waikato.ac.nz

Placement/WIL Coordinator(s)

Tutor(s)

Student Representative(s)

Lab Technician(s)

Librarian(s)

: cheryl.ward@waikato.ac.nz
: debby.dada@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 covers further topics in statistics and mathematics that are required by the University of Waikato Engineering programmes.

The statistics component of the paper starts with some elementary statistics concepts, before covering how to design and analyse experiments to extract maximum information from relatively few runs (ISO 12845 and ISO 13195), and how to use basic statistical concepts to monitor process output and implement quality improvement (ISO 11462).

The mathematics component of the paper looks at techniques for finding analytical solutions to ordinary and partial differential equations that arise in engineering. It also considers numerical techniques for: solving nonlinear equations, approximation of functions, and solving differential equations.

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Paper Structure

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This paper is taught through weekly lectures and a weekly tutorial held during a lecture hour (a "lectorial").

The Statistics half of the paper will make use of the statistical software package Minitab, which is freely available to students of this paper (see the ENGEN301 Moodle page for instructions to download/activate your own copy). Access to a computer lab in R-block will also be available for students who wish to use Minitab on a university computer (see under Labs below).

The last quarter of the paper will make use of the Matlab package which is available in the same lab as used for the Statistics half of the paper.

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Learning Outcomes

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Students who successfully complete the paper should be able to:

  • Devise an empirical investigation to evaluate the functionality and robustness of a design concept and then optimise performance by targetting product design parameters and quantifying sensitivity.
    Linked to the following assessments:
  • Implement Statistical Process Control techniques to bring about and document process quality improvement.
    Linked to the following assessments:
  • Use Fourier and Laplace techniques to solve differential equations
    Linked to the following assessments:
  • Numerically solve nonlinear equations and approximate functions by interpolation
    Linked to the following assessments:
  • Solve differential equations using numerical techniques
    Linked to the following assessments:
  • Apply numerical techniques by making use of software
    Linked to the following assessments:
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Assessment

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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 final examination.

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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. Assignment 1 (Experimental Design)
28 Mar 2021
11:30 PM
12.5
  • Online: Submit through Moodle
2. Assignment 2 (Statistical Process Control)
11 Apr 2021
11:30 PM
12.5
  • Online: Submit through Moodle
3. Assignment 3 (Laplace and Fourier techniques)
14 May 2021
5:00 PM
5
  • Online: Submit through Moodle
4. Test on Laplace and Fourier techniques - date is to be confirmed
24 May 2021
6:00 PM
15
  • Other: Hand-in at end of test.
5. Assignment 4 (Numerical techniques)
4 Jun 2021
5:00 PM
5
  • Online: Submit through Moodle
6. Exam
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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Recommended Readings

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D C Montgomery, George C Runger, Norma F Hubele (2011) Engineering Statistics John Wiley (QA276.12 .M63)

G E P Box, W G Hunter and J S Hunter (2005) Statistics for Experimenters. 2nd ed. John Wiley. (QA279.B68)

K A Stroud and D J Booth (2011) Advanced Engineering Mathematics 5th ed. Industrial Press (TA330.S79) - in the High Demand Collection for the second half of the trimester

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Other Resources

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Minitab (Version 19) can be downloaded from the following link: https://www.minitab.com/en-us/support/downloads/

You will require a license file, and this will be made available to students through Moodle.

Students are also required to submit their statistics assignments as a Microsoft Word document. Microsoft office 365 is free for all students studying at the University of Waikato, and instructions for download can be found at https://www.waikato.ac.nz/ict-self-help/guides/free-microsoft-office-suite-download

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Online Support

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The class Moodle page will contain many documents and data sets used in lectures and assessment. The Moodle site is the primary channel for communication of information about the paper.

Recommended Online Resources for Statistics

  • NIST/Sematech Engineering handbook: http://www.itl.nist.gov/div898/handbook/
  • CAST: "CAST stands for Computer-Assisted Statistics Textbooks. It teaches all topics in introductory statistical methods courses and many topics that are taught in more advanced courses." CAST provides many interactive displays to explain concepts and provides some practice exercises. Download for personal study from http://cast.massey.ac.nz/.
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Workload

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

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Prerequisite(s)

Prerequisite papers: ENGEN201

Corequisite(s)

Equivalent(s)

Restriction(s)

Restricted papers: ENGG381 or MATH257 or MATH342 or MATHS304

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