ENGEN102-21G (HAM)

Engineering Maths and Modelling 1B

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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: maria.admiraal@waikato.ac.nz
: buddhika.subasinghe@waikato.ac.nz

Placement/WIL Coordinator(s)


: hjg10@students.waikato.ac.nz
: jrg22@students.waikato.ac.nz
: mjp57@students.waikato.ac.nz

Student Representative(s)

Lab Technician(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 paper covers.

  • Functions and trigonometric equations
  • More calculus, particularly integration, with applications to engineering problems.
  • An introduction to statistics
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Paper Structure

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The paper is divided into five sections each taking a week. Each section (other than the first) starts on a Tuesday and finishes on the following Monday with an online test. Initially all contact will be via Zoom via the link on Moodle. Moodle sessions will run from 10-12 on every day.

On the four days which are not Monday there will be in class assessment on zoom. We will be using breakout rooms and working on problems in small groups. These problems will need to be signed off each day.

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Learning Outcomes

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Students who successfully complete the paper should be able to:

  • Calculus/Algebra
    • Setup and solve trigonometric equations.
    • Describe features of waves and oscillations (amplitude, period, wavelength, phase, phase difference, ...)
    • Describe what a function is/does. Be able to draw its graph. Decompose a function into even and odd parts.
    • Apply differentiation to determine the maximum and minimum of functions, solve "related rates" problems, including in engineering applications, and produce accurate sketches of functions.
    • Be able to calculate Taylor series for simple functions.
    • Calculate indefinite and definite integrals of simple functions. Interpret integrals.
    • Be able to integrate using the methods of substitution, integration by parts, and partial fractions. Be able to recognize which technique to use.
    • Use integration to help setup and solve engineering applications and problems.
    • Know and use properties of the logarithm and exponential functions, particularly in solving engineering-based problems.
    • Solve problems involving first-order separable differential equations.
    • Know basic properties of the conic sections (circle, ellipse, hyperbola, parabola)
    • Understand and use the integral definition of the average of a function.
    Linked to the following assessments:
  • Statistics
    • Calculate measures of location and spread
    • Calculate probabilities using the normal distribution
    • Understand key statistical theories - strong law of large numbers and the central limit theorem
    • Perform statistical inference procedures for means and proportions - hypothesis tests, confidence and prediction intervals
    Linked to the following assessments:
  • Some things you should already be able to do
    • State the definition of the derivative and give physical/geometrical interpretations of it.
    • Know how to use basic rules of differentiation (eg, sum, product, quotient, chain) to differentiate functions.
    • Integrate elementary functions (polynomials, trig fns, exponential function)
    • Calculate basic statistics such as mean, median, standard deviation and quartiles
    Linked to the following assessments:
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The paper is divided into five sections each taking a week.

Each week there is a test worth 10% and some problems worth 10%.

The problems will consist of in class assessment of some sort. There will be some assessment attached to every class. A variety of assessment types will be used. We may use Moodle's quiz feature, ask you to work in small groups to answer a question, or ask you submit a written answer to a very short assignment. The workload is not intended to be heavy, but you we expect you to participate and do some work every day.

There is no final examination for this paper.

The five tests are items of compulsory assessment. A clear pass in this paper requires that in the five tests you achieve an average score of at least 40%.

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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. 5x Weekly Tests
2. 5x Weekly Problems
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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Higher Engineering Mathematics, John Bird, 8th Edition, Routledge

If the 8th edition cannot be found, the 9th edition is acceptable.

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Other Resources

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A standard scientific calculator is needed for tests. Graphing and CAS calculators are not permitted.

Octave is a free (GPL ) implementation of MATLAB which we encourage students to download and play with. Matlab is specifically designed to carry out matrix calculations. You can search for it online. Links for download will also appear on Moodle.

Microsoft Excel may be used to perform tasks in the statistics part of the course. Microsoft Office 365 is available and free to all enrolled University of Waikato students. Instructions to download can be found through the following link:


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Online Support

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The Moodle page for this paper is the main forum for notices and information about the course. Assignments are posted on Moodle. The gradebook for this paper can also be accessed through Moodle. It is your responsibility to check your marks are correctly entered.

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There are 10 'contact' hours each week for a total of 52 contact hours. Students are also expected to spend considerable additional time studying. This is an intensive paper taught over a short time period and the workload is probably not compatible with full time employment. In particular you are expected to be available from 10-12 every day of the week. If you cannot make that commitment you should not be enrolled in this paper.

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Linkages to Other Papers

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Prerequisite papers: ENGEN101




Restricted papers: MATHS101, MATHS102, ENGEN183, ENGEN184

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