ENGEN201-19S (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


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: rachael.foote@waikato.ac.nz

Placement Coordinator(s)


Student Representative(s)

Lab Technician(s)


: 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 19S offering focuses on selected topics in multivariable calculus.
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Paper Structure

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Two tutorials per week -- 6:30-8:30 pm Tuesdays and Fridays.

(Ignore the 6-9 pm times below. Rooms are booked in hourly time slots.)

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Learning Outcomes

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Students who successfully complete the course should be able to:

  • Multivarable calculus

    -- compute partial derivatives

    -- write down and apply chain rule

    -- carry out implicit differentiation

    -- compute the gradient vector and identify the direction and magnitude of greast increase

    -- compute directional derivative

    -- find and classify critical points using the Second Derivative Test

    -- Apply the method of Lagrange multipliers

    -- Set up and compute double integrals in Cartesian and polar coordinates

    -- Set up and compute triple integrals in Cartesian, cylindrical and spherical coordinates

    Linked to the following assessments:
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Best 8 of 9 assignments (5% each).

Two tests (Friday 25 January and Friday 15 February) (30% each). Test 2 will cover only the second half (integrals).

There will be no external exam for the 19S offering. Ignore the statement about 50:50 internal/exam ratio below.

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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
2. Tests
3. Exam
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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For examples, engineering maths textbooks:

Modern Engineering Mathematics by Glyn James.

Advanced Engineering Mathematics by Peter O'Neil.

Engineering Mathematics by Stroud & Booth.

Advanced Engineering Mathematics by Stroud.

Advanced Engineering Mathematics by Kreyszig.

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Online Support

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Moodle and panopto.
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10 hours per week.
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Linkages to Other Papers

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Prerequisite papers: ENGEN102 or ENGEN184 or ENGG184 or MATH101




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

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