ENGEN301-22A (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
: buddhika.subasinghe@waikato.ac.nz

Placement/WIL Coordinator(s)

Tutor(s)

Student Representative(s)

Lab Technician(s)

Librarian(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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This paper covers further topics in mathematics and statistics that are required by a number of the the University of Waikato's Engineering programmes.

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.

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

The second quarter of the paper (fourth to sixth weeks of teaching) will make use of the Matlab package which is available in a computer lab in R Block (see under Labs below).

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 the same computer lab in R Block as used for Matlab will be available for students who wish to use Minitab on a university computer.

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Learning Outcomes

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Students who successfully complete the paper should be able to:

  • Use Laplace and Fourier techniques to solve differential equations (WA1)
    Linked to the following assessments:
    Assignment 1 (Laplace and Fourier techniques) (1)
    Test on Laplace & Fourier techniques (5 April and 7 April TBC) (2)
    Exam (6)
  • Apply numerical techniques to certain problems (WA1, WA5)
    Linked to the following assessments:
    Assignment 2 (Numerical techniques) (3)
    Exam (6)
  • Apply certain numerical techniques by making use of software (WA1, WA5)
    Linked to the following assessments:
    Assignment 2 (Numerical techniques) (3)
  • 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 (WA1, WA4, WA5)
    Linked to the following assessments:
    Assignment 3 (Statistical Principles and Experimental Design) (4)
    Exam (6)
  • Implement Statistical Process Control techniques to bring about and document process quality improvement (WA1, WA5)
    Linked to the following assessments:
    Assignment 4 (Response Surface Models and Statistical Process Control) (5)
    Exam (6)
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Assessment

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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 (Laplace and Fourier techniques)
25 Mar 2022
11:30 PM
6.25
  • Online: Submit through Moodle
2. Test on Laplace & Fourier techniques (5 April and 7 April TBC)
12.5
  • Online: Submit through Moodle
3. Assignment 2 (Numerical techniques)
15 Apr 2022
11:30 PM
6.25
  • Online: Submit through Moodle
4. Assignment 3 (Statistical Principles and Experimental Design)
25 May 2022
11:30 PM
15
  • Online: Submit through Moodle
5. Assignment 4 (Response Surface Models and Statistical Process Control)
8 Jun 2022
11:30 PM
10
  • 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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K A Stroud and D J Booth (2011) Advanced Engineering Mathematics 5th ed. Industrial Press (TA330.S79) - in the High Demand Collection for the first half of the trimester.

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)

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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/#mtb19Files

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: MATHS304 or COMPX367

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