ENGEN301-23A (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

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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What this paper is about

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This paper covers further topics in statistics and mathematics that are required by a number of the specified programmes in the Bachelor of Engineering with Honours degree.

The statistics component of the paper starts with an introduction to linear models. It then looks at the use of linear models in experimental design and introduces statistical process control concepts.

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, approximating functions, and solving differential equations.

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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How this paper will be taught

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This paper is taught through three or four lectures per week with discussion about the number of lectures in the first lecture. There also a weekly tutorial held during the Thursday 12 noon class ("lectorial"). This class time will also be used for the two tests.

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 computer lab in R.G,12 Block will be available for students who wish to use Minitab on a university computer (see under Labs below).

The fourth quarter of the paper (tenth to twelfth weeks of teaching) will make use of the Matlab package which is available in the same computer lab as Minitab.

The computer lab times given below are times when ENGEN301 students have priority use of the 30 or so computers in this lab to complete assignment material. Attendance is optional. You may also use the lab at other times, but booked classes have priority. Times when a lecturer or demonstrator will be available in some of these timetabled lab times will be given on Moodle later.

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Required Readings

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John Bird (2017), Higher Engineering Mathematics, 9th ed.,Routledge. (The 8th edition is also acceptable.)

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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You will need to have

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a CALCULATOR (a basic scientific calculator is fine, but graphics calculators are permitted). Students without a calculator will be heavily disadvantaged in assessment of the material covered in the last quarter of the trimester.
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Learning Outcomes

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Students who successfully complete the course should be able to:

  • Use Laplace and Fourier techniques to solve differential equations (WA1)
    Linked to the following assessments:
    Assignment 4 (Laplace transforms and Fourier series) (5)
    Test 2 on Laplace transforms and Fourier series (25 May) (6)
    Final Exam (8)
  • Apply numerical techniques to certain problems (WA1, WA5)
    Linked to the following assessments:
    Assignment 5 (Numerical techniques) (7)
    Final Exam (8)
  • Apply certain numerical techniques by making use of software (WA1, WA5)
    Linked to the following assessments:
    Assignment 5 (Numerical techniques) (7)
  • Use linear models to estimate and investigate relationships between response and design variables (WA1, WA4, WA5)
    Linked to the following assessments:
    Assignment 1 (Introduction to linear models) (1)
    Assignment 2 (Analysis of variance and Response surface models) (2)
    Test 1 on linear models (6 April) (3)
    Final Exam (8)
  • Apply certain statistical methods by making use of software (WA1, WA5)
    Linked to the following assessments:
    Assignment 1 (Introduction to linear models) (1)
    Assignment 2 (Analysis of variance and Response surface models) (2)
    Assignment 3 (Introduction to statistical process control) (4)
    Final Exam (8)
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Assessments

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How you will be assessed

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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 (Introduction to linear models)
15 Mar 2023
5:00 PM
5
  • Online: Submit through Moodle
2. Assignment 2 (Analysis of variance and Response surface models)
29 Mar 2023
5:00 PM
5
  • Online: Submit through Moodle
3. Test 1 on linear models (6 April)
10
  • Other: Hand in at end of test
4. Assignment 3 (Introduction to statistical process control)
19 Apr 2023
5:00 PM
5
  • Online: Submit through Moodle
5. Assignment 4 (Laplace transforms and Fourier series)
12 May 2023
11:30 PM
6.25
  • Online: Submit through Moodle
6. Test 2 on Laplace transforms and Fourier series (25 May)
12.5
  • Other: Hand in at end of test
7. Assignment 5 (Numerical techniques)
2 Jun 2023
11:30 PM
6.25
  • Online: Submit through Moodle
8. Final Exam
50
  • Other: Hand in at end of exam
Assessment Total:     100    
Failing to complete a compulsory assessment component of a paper will result in an IC grade
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