Engineering Maths and Modelling 1B
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.
The paper covers.
- Functions and trigonometric equations
- More calculus, particularly integration, with applications to engineering problems.
- An introduction to statistics
Each week students should
- watch/attend all 3 lectures.
- do and hand-in the weekly assignment. Doing all the tutorial problems is strongly recommended.
- watch the weekly workshop and do the workshop assessment
- attend and actively participate in a one hour (zoom) tutorial.
- put in at least 5 additional hours of study.
- watch moodle for notices and supplementary material.
Lectures will be recorded and available on panopto.
While NET students are likely to be participating remotely over the internet, students based in Hamilton are welcome to attend on campus lectures tutorials and workshops if they wish to do so and can fit it into their school timetables. Email the lecturer if you wish to do this.
Note the actively participate. This is key for your success in this paper. Engineering maths is not a spectator sport---you learn by doing.
If covid alert levels change some of these activities may only be available online. Details will be provided as needed.
Students who successfully complete the paper should be able to:
- 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.
Linked to the following assessments:
- 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:
- 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
Some things you should _ALREADY_ be able to do
Linked to the following assessments:
- 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
The assessment items are listed here. For the percentage contributions of these to the final mark, see the table a little further down.
TWO 90 minute Tests.
See table below for dates. Your school will help arrange a time for you to sit the tests on these dates. Alternative dates will not usually be available.
If it is feasible, you are welcome to sit the test with the on-campus students at the specified times.
If Covid alert levels change, a test may be given online and the test dates may be changed from those listed in the table below.
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. 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 exam 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 tutorial/assignment component.
- There will be 11 assignments and the best 9 marks will be counted. Assignments should be your own work and copying may lead to a referral to the university disciplinary committee. Essentially, there is an assignment to hand in every week.
- For those attending the zoom tutorial, assignments should be submitted online as a SINGLE pdf file. Those attending a tutorial on campus should submit their assignments in paper form in the correct hand-in box in FG-link.
- Each weekly assignment sheet will also include tutorial problems. There is no need to hand these in, although you are encouraged to do all of these. Practicing problem solving will improve your chances of doing well in this paper.
- 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 lecturer.
A FINAL TEST, held in the B trimester exam period at a date and time to be advised later in the trimester. This is a compulsory item of assessment. The time that the final test is taken must overlap with the time of the final exam for ENGEN102(HAM).
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 (the D rule).
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.
Error: Assessment components must add up to 100%
At least one Assessment Component needs to be entered
|Component Description||Due Date||Time||Percentage of overall mark||Submission Method||Compulsory|
|1. Assignments, including questions set from the textbook||
|2. Test 1: in the window 6-8:15pm. Please ensure you are available.||
16 Aug 2021
|3. Test 2: in the window 6-8:15pm. Please ensure you are available.||
6 Oct 2021
|4. Final Test (in B trimester exam period)||
Required and Recommended Readings*
HIgher Engineering Mathematics (8th edition). John Bird. Routledge 2017.
Assignment problems will be set from this text so you will need access to a copy.
The university library has online versions of other editions. The explanations in these will be fine to use, but don't assume the problem numbers will match.
NOTE: Using/buying second-hand copies of text books is a fine idea.
You may like to look at alternative presentations of the same material.
- Schaum’s Outlines ‘Calculus’, Ayres & Mendelson, McGraw-Hill. This is the MATHS101 textbook and has many worked examples.
- Engineering Mathematics, K. A. Stroud (with Dexter J. Booth), 7th Edition, Industrial Press, Inc. This was used in previous year. It is a good book for working through, but more difficult to dip into.
- Engineering Mathematics, Kreyszig, etc
- Modern Engineering Mathematics, Glyn James, Pearson (2015 version available as an e-book via the library).
The only type of calculator you may use in the tests or the exam is a CASIO 82 variant (as used in ENGEN101). The CASIO 82 Au Plus II is a recent member in this series of calculators. If you bring a graphing or CAS calculator to a test or the exam you will not be permitted to use it.
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:
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.
There are 5 'contact' hours each week consisting of 3 lectures, 1 workshop and 1 tutorial. Students should watch/attend these AND spend an additional 5 hours per week in study, including doing the assignments and reading the textbook.
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.
Doing all the assignments questions AND all the tutorial questions is strongly recommended. Doing this is likely to substantially improve your understanding (and grade).
Linkages to Other Papers*
Prerequisite papers: ENGEN101
Restricted papers: MATHS101, MATHS102, ENGEN183, ENGEN184