ENGEN201-22H (NET)

Engineering Maths and Modelling 2

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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The first two-thirds of ENGEN201 teaches multi-variable calculus and vector calculus, extending the one-variable calculus from ENGEN102.

The last third teaches ordinary differential equations and Laplace transform.

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Paper Structure

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This is a fully online, lecture/tutorial-based paper. It uses pre-recorded lectures and tutorials from the 20B trimester. The lecturer will hold office hours on Zoom. Students with questions can email the lecturer anytime.

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Learning Outcomes

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Students who successfully complete the paper should be able to:

  • Multi-variable calculus
    1. Apply the small increments formula for linear approximations
    2. Evaluate integrals involving polar curves
    3. Apply the chain rule
    4. Set up and evaluate double and triple integrals in Cartesian and polar coordinates
    5. Compute the partial derivatives, Jacobian and inverse partial derivatives
    6. Find stationary points and classify them with the Second Derivative Test
    7. Apply the method of Lagrange multipliers to solve constrained optimisation problems
    Linked to the following assessments:
  • Vector calculus
    1. Compute gradient of a scalar function, and divergence and curl of a vector function
    2. Compute line integrals of scalar and vector functions
    3. Find the scalar potential of a conserved vector field and apply the gradient theorem
    4. Apply Green's Theorem
    5. Compute the directional derivative in a given direction, and find the direction where the directional derivative is largest
    6. Compute surface integrals of scalar and vector functions
    7. Apply Stokes' and Gauss' Theorems
    Linked to the following assessments:
  • Ordinary differential equations and Laplace transform
    1. Recognise the types (order, linearity, separability, homogeneity) of ordinary differential equations
    2. Solve first order linear ODEs using the integrating factor
    3. Solve homogeneous second order linear ODEs with constant coefficients using the auxiliary equation
    4. Find a particular solution of inhomogeneous second order linear ODEs with constant coefficients using the method of undetermined coefficients
    5. Apply Laplace transform and inverse Laplace transform to solve linear ODEs with constant coefficients with the help of a table of Laplace transform
    Linked to the following assessments:
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Assessment

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The assessment mark will consist of :

Three Tests (supervised via Zoom) each worth 20% for a total of 60%

  • Test 1 on Tuesday 25 January 2022
  • Test 2 on Tuesday 8 February 2022
  • Test 3 on Friday 18 February 2022
  • Test times: 8:00 pm - 9:20 pm plus 10 minutes for scanning and uploading

Assignments worth 40%

  • There will be 11 tutorial based assignments of which only the best 10 marks will be counted. Assignments should be your own work and copying may lead to referral to the university disciplinary committee.
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Assessment Components

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The internal assessment/exam ratio (as stated in the University Calendar) is 100:0. There is no final exam. The final exam makes up 0% of the overall mark.

The internal assessment/exam ratio (as stated in the University Calendar) is 100:0 or 0:0, whichever is more favourable for the student. The final exam makes up either 0% or 0% of the overall mark.

Component DescriptionDue Date TimePercentage of overall markSubmission MethodCompulsory
1. Assignments (best 10 of 11)
40
  • Online: Submit through Moodle
2. Test 1
25 Jan 2022
9:30 PM
20
  • Online: Submit through Moodle
3. Test 2
8 Feb 2022
9:30 PM
20
  • Online: Submit through Moodle
4. Test 3
18 Feb 2022
9:30 PM
20
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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Engineering Mathematics, K. A. Stroud (with Dexter Booth), 7th Edition,

or Higher Engineering Mathematics (8th Edition), John Bird.

You should already own either of these textbooks, which was used in first year.

Advanced Engineering Mathematics, K. A. Stroud (with Dexter Booth), 5th or 6th Edition. This textbook will also be used for ENGEN301.

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Other Resources

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LECTURE NOTES

A PDF of these notes will be posted on Moodle - not available from Campus Printery.

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Online Support

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NOTICES, MOODLE AND RETURN OF ASSESSED WORK

All notices about this paper, as well as your internal assessment marks, will be posted on Moodle. Such notices are deemed to be official notifications. Please check frequently for any updates.

It is your responsibility to check your marks are entered correctly.

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Workload

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25 hours per week.

Over the semester:

Online lectures: 36 hours

Tutorials: 11 hours

Reading: 36 hours

Assignments: 22 hours

Tests and revision: 45 hours

Total hours: 150 hours

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Linkages to Other Papers

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This paper is a prerequisite for ENGEN301, and a co-requisite for ENGEE211.
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Prerequisite(s)

Prerequisite papers: ENGEN102 or ENGEN184

Corequisite(s)

Equivalent(s)

Restriction(s)

Restricted papers: MATHS201 or MATHS203

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