ENGEN201-20B (HAM)

Engineering Mathematics 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)

Woei Chet Lim

Woei Chet Lim
5148
G.3.05
See Moodle
woeichet.lim@waikato.ac.nz

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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These papers extend the one–variable calculus from MATHS101 Introduction to Calculus to the calculus of functions of more than one variable. Many of the topics covered provide a synthesis of calculus and geometry (from MATHS102). The mathematics studied is of fundamental and equal importance to engineers and non-engineers. Therefore, MATHS201 and ENGEN201 are substantially the same, and share the same lectures during the first 8 weeks. During the last 4 weeks, the ENGEN201 stream learns ODEs and Laplace transform.

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Paper Structure

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This is a lecture/tutorial-based paper with five contact hours per week -- 3 lectures, 1 workshop and 1 tutorial. Lectures will be pre-recorded, and posted on Moodle. Tutorials and workshop are available in both physical and online forms.

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Learning Outcomes

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Students who successfully complete the course should be able to:

  • First 8 weeks:

    1. Compute the tangent line, arc length and work integrals over a parametrized curve.

    2. Calculate the gradient vector of a multivariable function, and apply the chain rule.

    3. Calculate the Taylor expansion of a multivariable function.

    4. Solve unconstrained and equality constrained optimization problems in up to three variables.

    5. Compute multivariable integrals (in Cartesian and polar coordinates).

    6. Use integration to compute volumes and moments of solid bodies.

    Linked to the following assessments:
  • Last 4 weeks:

    7. Solve ordinary differential equations.

    8. Use Laplace transform to solve ordinary differential equations.

    Linked to the following assessments:
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Assessment

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The assessment mark will consist of :

TWO take-home Tests each worth 30% for a total of 60%

  • test dates: Test 1 on Friday 18 September. Test 2 to be scheduled during exam weeks (27 Oct - 6 Nov).
  • 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.

A workshop grade worth 10%

  • There will be 11 workshops and the best 9 marks will be counted.
  • The best 9 out of 11 policy is intended to allow students to miss one or two workshops 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 30%

  • There will be 10 tutorial based assignments of which only 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.
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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 8 of 10)
30
2. Workshop multiple-choice quizzes (best 9 of 11)
10
3. Test 1 (Friday 18 September)
18 Sep 2020
No set time
30
4. Test 2 (to be scheduled. 27 Oct is only a placeholder.)
27 Oct 2020
No set time
30
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. You should already own this textbook, which was used in first year.

Advanced Engineering Mathematics, K. A. Stroud (with Dexter Booth), 5th Edition. Assignments and readings will be set from this textbook so you will need to purchase a copy from the bookshop. 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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10-12 hours per week.

Over the semester:

Online lectures: 36 hours

Tutorials: 11 hours

Lectorials: 11 hours

Reading: 36 hours

Assignments: 22 hours

Tests preparation: 34 hours

Total hours: 150 hours

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Linkages to Other Papers

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This paper is a prerequisite for ENGEN301.
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Prerequisite(s)

Prerequisite papers: ENGEN102 or ENGEN184 or ENGG184 or MATH101

Corequisite(s)

Equivalent(s)

Restriction(s)

Restricted papers: ENGG284 or ENGG285 or MATH251 or MATH255 or MATHS201 or MATHS203

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