Engineering Mathematics 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 and actively participate in all 3 online lectures (available from the paper's moodle page).
- actively participate in the weekly workshop.
- attend and actively participate in a one hour tutorial.
- 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.
Contact the lecturer to arrange this.
The 3 recorded lectures for a week will usually all be available by Monday 1pm of that week. In all situations a recorded lecture will be available by lecture time shown in the timetable [Tue 4pm, Wed 12pm, Fri 2pm].
Note the actively participate. This is key for your success in this paper. Engineering maths is not a spectator sport---you learn by doing.
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 Tests, each worth the same amount. See table below for dates. Please ensure you are available for these dates and times. Alternative dates/times will not be available.
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 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 test 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.
- There will be 10 workshops and the best 8 will be counted. This is an in-class assessment in which group work 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 lecturer.
A tutorial/assignment component.
- 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 lecturer.
A FINAL TEST. This is a compulsory item of assessment.
- 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.
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|
|2. Assignments, including questions set from the textbook||
|3. Test 1: in the window 6-9pm. Please ensure you are available.||
18 Aug 2020
|4. Test 2: in the window 6-9pm. Please ensure you are available.||
6 Oct 2020
|5. Final Test (held in Oct 26 - Nov 6 period)||
Required and Recommended Readings*
Engineering Mathematics, K. A. Stroud (with Dexter J. Booth), 7th Edition, Industrial Press, Inc.
Assignment problems will be set from this text.
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).
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:
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.
Linkages to Other Papers*
Prerequisite papers: ENGEN101
Restricted papers: MATHS101, MATHS102, ENGEN183, ENGEN184