ENGEN102-20G (HAM)

Engineering Mathematics 1B

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)

Raziyeh Zarredooghabadi

Raziyeh Zarredooghabadi
4797
G.3.29
See Moodle
raziyeh.zarredooghabadi@waikato.ac.nz

Lecturer(s)

Alista Fow

Alista Fow
4164
EF.2.04
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alista.fow@waikato.ac.nz

Paul Brown

Paul Brown
5279
G.3.30
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paul.brown@waikato.ac.nz

Administrator(s)

: maria.admiraal@waikato.ac.nz

Placement/WIL Coordinator(s)

Tutor(s)

: alista.fow@waikato.ac.nz

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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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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Each week students should

  • You must watch all the online lectures per week(available from the paper's moodle page)
  • You must attend 10 hours of face-to-face workshops/lectorials/tutorials per week
  • actively participate in the weekly workshop.
  • attend and actively participate in tutorials.
  • put in at least 10 additional hours of study.

If you are off-campus for the trimester, zoom (or similar) access to a weekly tutorial and the weekly workshop will be available.
Contact the lecturer to arrange this.

The recorded lectures for a week will usually all be available by Monday of that week.

Note the actively participate. This is key for your success in this paper. Engineering maths is not a spectator sport---you learn by doing.

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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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Assessment

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Assignments:

There will be Five assignments worth 6% each, a total of 30% of the overall mark.

AssignmentsDate
Assignment 1Monday 16 November (6%)
Assignment 2Monday 23 November (6%)
Assignment 3Monday 30 November (6%)
Assignment 4 Monday 7 December (6%)
Assignment 5Monday 14 December (6%)

Your completed assignment should be submitted online through Moodle. Assignments must be submitted by 23:59 on MONDAYS.

Workshops:

There will be 10 workshops. This is an in-class assessment in which group work is encouraged.

WorkshopsDate
Workshop 1 Wednesday 11 November
Workshop 2Friday 13 November
Workshop 3 Wednesday 18 November
Workshop 4 Friday 20 November
Workshop 5Wednesday 25 November
Workshop 6Friday 27 November
Workshop 7Wednesday 2 December
Workshop 8Friday 4 December
Workshop 9Wednesday 9 December
Workshop 10Friday 11 December
Tests:

There will also be two tests worth a total of 50% of the overall mark.

TestsDate
Test 1Friday 27 November
Test 2Wednesday 16 December

A FINAL overall unrestricted pass (ie.C- or better) in this paper will only be awarded to students who achieve BOTH a FINAL TEST mark of at least 40% AND a FINAL OVERALL mark of at least 50%.

A restricted pass (RP) will NOT be accepted as a pre-requisite for entry into any further Mathematics papers.

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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 Assignments
30
  • Online: Submit through Moodle
2. 8x Workshops
20
  • In Class: In Workshop
3. Test 1
27 Nov 2020
No set time
25
  • In Class: In Lecture
✔
4. Test 2
16 Dec 2020
No set time
25
  • In Class: In Lecture
✔
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 J. Booth), 7th Edition, Industrial Press, Inc

Assignments and readings will be set from this textbook so you will need to purchase a copy.

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Recommended Readings

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You may like to look at alternative presentations of the same material.

  • Schaum’s Outlines ‘Calculus’, Ayres & Mendelson, McGraw-Hill.
  • "Engineering Mathematics:, Kreyszig, etc
  • "Modern Engineering Mathematics", Glyn James, Pearson (2015 version available as an e-book via the library).
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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:

https://www.waikato.ac.nz/ict-self-help/guides/free-microsoft-office-suite-download

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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.

Lectures will be available online (panopto recordings). These can be accessed via the Moodle page.

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Workload

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There are 10 'contact' hours each week consisting of 3 (online) lectures, 1 workshop and 1 lectorial (lecture-tutorial). Also students should spend an additional 10 hours per week in study, including doing the assignments and reading the text. Additional time should be spent in preparation during study week and for tests. Altogether students should expect to commit 300 hours across the term for this paper. Students who are not well prepared may need more time.

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Linkages to Other Papers

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Prerequisite(s)

Prerequisite papers: ENGEN101

Corequisite(s)

Equivalent(s)

Restriction(s)

Restricted papers: MATHS101, MATHS102, ENGEN183, ENGEN184

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