ENGEN102-20B (TGA)

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)

Lecturer(s)

Administrator(s)

Placement/WIL Coordinator(s)

Tutor(s)

Student Representative(s)

Lab Technician(s)

Librarian(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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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

  • watch and actively participate in all pre-recorded videos (available from the paper's moodle page).
  • attend and actively participate in three lecture discussions and one hour tutorial per week (face to face on campus)
  • actively participate in the weekly workshop (face to face on campus).
  • put in at least 5 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.
You must contact the paper convenor to arrange this.

The 3 pre-recorded videos for a week will usually all be available a day before of what would have been the timetabled lecture discussion [Tuesday, Thursday, Friday].

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 course 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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The assessment mark will consist of :

TWO Tests each worth 20%. See table below for dates.

Tests will almost certainly be online, unless there is a change to UoW requirements for the B trimester.

If a test is missed due to illness or other good reason, the paper convenor must be notified as soon as practicable. Appropriate documentation (for example a medical certificate issued by a doctor) must be supplied. Should the reason be accepted an estimated grade for the missed work will be used. The estimated grade will be based on results in other assessments including the final examination and on the distribution of grades in the missed assessment. Documents submitted more than 3 days after the test date will not usually be accepted.

There will be NO test resits.

A workshop grade worth 10%

  • There will be 10 workshops and the best 8 will be counted. This is an in class assessment in which interactive learning is encouraged.
  • The best (n-2) out of n 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 paper convenor.

A tutorial component of 15%

  • There will be 10 tutorial based assignments and 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 n-2 out of n 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 paper convenor.

The FINAL TEST worth 35%.

  • This will be held in what was formerly the exam period for B trimester (Oct 26 -- Nov 6).
  • This will almost certainly be online, unless there is a change to UoW requirements for the B trimester.
  • In order to pass this paper with an unrestricted grade (Grade C- or better) you must get an overall total of 50% or greater, and ALSO at least 40% in the final test.
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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. Workshops
10
2. Assignments, including questions from the textbook
15
  • Online: Submit through Moodle
3. Test 1
18 Aug 2020
No set time
20
  • Online: Submit through Moodle
4. Test 2
6 Oct 2020
No set time
20
  • Online: Submit through Moodle
5.  Final Test (held in Oct 26 - Nov 6 period)
35
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.
Assignment problems will be set from this text
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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 and examinations. 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 5 'contact' hours each week consisting of 3 lectures equivalent pre-recorded video content, 1 workshop and 1 tutorial. Also students should spend an additional 5 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 150 hours across the trimester 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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