ENGR 123 (2019) - Home Page

Welcome to the home pages for ENGR 123: Engineering Mathematics with Logic and Statistics.


Announcements will be made via the blackboard announcement system


The Course Coordinator is Prof Peter Smith. Pete is lecturing the last six weeks, and Dr Steven Archer is lecturing the first six weeks.

For administrative queries on assignments, tutorials and marking contact Dr Steven Archer.

Dr Howard Lukefahr is in charge of the labs, their supervision, report marking, and the lab content for this course. Howard is also offering special tutorials and events aimed at giving you extra help in this course (Room and time TBA). Howard is also available to students most times. There is a schedule on his door showing where he can be found pretty much all the time.

The names of your tutors and lab demonstrators will appear shortly.

Class Representative

We have three. Daniel Blackford and Elijah Guarina and Dylan from Te Puke. Thank you all for volunteering!

Discord and Facebook

Here is the link to the student engineering Discord chat page:


Extra Help

Howard Lukefahr has started special tutorial sessions suitable for ENGR123 students who are having trouble with their mathematics, lecture material, tutorials, or assignments. Time and room TBA.

There will be a mathematics Help Desk up here soon.

The office hours of math and statistics academics are listed here.

Lecture Notes

Lecture notes will be put here

Assignments and Tutorials and Answers

Please click for Assignments and Tuts, and model answers.

Test One

Two Tests will be given, each one held during a lecture time. Each Test is worth 10% towards your final grade. If you do better in the final exam, the Test will not be counted, and the exam will be worth 10% more (maximum mark).

Test One will be held at 2:10pm on Thursday 15 August in HMLT205, our usual Thursday lecture room. Everything up to and including partial orders is testable. That is the first three assignments, the first three weeks of lectures, and the first three weeks of tutorials.

Current formula sheet

Examples of Test One

Test Two

Test Two will be held at 2:10pm on Thursday 26 September in HMLT205, our usual Thursday lecture room. Everything in the statistics section up to and including discrete random variables is testable. Since the Exponential distribution is linked to the Poisson, that relationship is also testable. See the lecture or course notes for that part.

Revision examples for Test Two

Revision examples are below: The test paper will give you the formulas for the following: the probability function, mean and variance for Poisson, Geometric and Binomial distributions (if they are needed), the definition of mean and variance for a discrete random variable.

Solutions to the 2019 Test Two

Solutions are below:

Final Exam

You must be available to sit the final two-hour exam during the exam period at the end of Trimester One. Note that the exam is two hours long this year, whereas in all previous years it was three hours long. The front page of the exam and the formula sheets are attached here, so you know what to expect.

For the statistics part, I will ask three questions: one question on discrete distributions, one question on continuous distributions and one question on confidence intervals.

Previous Exams (with revision questions and solutions)

Past exam papers are found on the library page: Go this page and EXAM PAPERS is an option at the top. Click and search for ENGR123. You'll find exam papers since 2015.


Here are some past exams, revision questions and some model answers for the statistics part. Note that these past exams were three hours long, so they are bigger and longer than the exam will be this year. Also note that the emphasis of the course changes from year to year so you may find some questions which look slightly different.

And here are some for the discrete part, more to come.


There is no textbook for Engr 123.

Detailed lecture notes will also be posted on the course homepages from week to week.


This calculation is the same as in Engr 121.

To expand on the official assessment notes in the Course Outline, here is how your percentage mark is calculated, on which your final grade is based:

Assignments 10%, Labs 20%, Tests 10% each for a total of 20%, exam 50%.

If you do poorly on your assignments, we count 60% for the final exam and we don't count the assignment mark. If you do poorly on a Test, similarly we don't count it, adding 10% to the final exam maximum count (by rescaling it).

Labs always count for a total of up to 20%, no matter how low the mark. There will be four labs.

In fact, we add up a variety of possible marks, e.g. (10% ass, 10% T1, 10% T2, 50% exam), and (0% ass, 10% T1, 10% T2, 60% exam), and (0% ass, 0% T1, 10% T2, 70% exam), and (0% ass, 0% T2, 10% T1, 70% exam), and (0% ass, 0% T1, 0% T2, 80% exam), and we give you the maximum of the resulting set of marks, and then we add your total Lab mark, for an overall total %. Note that Lab marks always count.

As a consequence of this, you cannot lose by sitting a Test, you can only gain marks, since a poor mark winds up not being counted towards your final grade.

By the way, you can miss two assignments without penalty on the 10% that they attract towards the final grade. There will possibly be just 8 assignments on offer this year; if so then 6 satisfactory ones would get you the full 10% available.

To be satisfactory, an assignment gets a mark of 40% or more, and is on time.

If you miss more than two, the 10% is apportioned; eg doing three (out of six) satisfactory assignments would get 5% towards the final grade, half of the 10% available. Any assignments which are unsatisfactory due to having less than 40% will (if you need them) get a proportion of the full mark they would have got otherwise.

Videos Of Lectures

We record all lectures to video. To see videos of lectures, please follow the blackboard link in the menu to the left.


This schedule describes what we plan to cover during lectures in ENGR123.

Help Desk

The Mathematics Help Desk is a good place to come and ask questions if you are having trouble understanding tutorial and/or assignment questions, or material covered in lectures or in your extended reading. You are welcome here any time.

Dr Howard Lukefahr will run evening workshops, time and place TBA.

Extra Help from Student Support

There is more help available from Vic's Student Support. They will help you with ENGR123, and they can also help advise on study habits and how to pass courses. Take a look at their website:

Topic attachments
I Attachment Action Size Date WhoSorted ascending Comment
2018_2_ENGR123_Sols.pdfpdf 2018_2_ENGR123_Sols.pdf manage 2 MB 11 Oct 2019 - 14:49 Main.sarcher  
ENGR123_2015T2_Test1_Solutions.pdfpdf ENGR123_2015T2_Test1_Solutions.pdf manage 219 K 12 Aug 2019 - 16:16 Main.sarcher  
ENGR123_Test1_2015.pdfpdf ENGR123_Test1_2015.pdf manage 71 K 06 Aug 2019 - 09:22 Main.sarcher  
ENGR123_Test1_2016.pdfpdf ENGR123_Test1_2016.pdf manage 98 K 05 Aug 2019 - 10:38 Main.sarcher  
ENGR123_Test1_2016_Solutions.pdfpdf ENGR123_Test1_2016_Solutions.pdf manage 133 K 12 Aug 2019 - 16:16 Main.sarcher  
ENGR123_Test2_2018.pdfpdf ENGR123_Test2_2018.pdf manage 71 K 05 Aug 2019 - 10:32 Main.sarcher  
ENGR123_Test2_2018_Solutions.pdfpdf ENGR123_Test2_2018_Solutions.pdf manage 286 K 05 Aug 2019 - 10:33 Main.sarcher  
formulasheet.pdfpdf formulasheet.pdf manage 62 K 26 Jul 2019 - 11:17 Main.sarcher  
Assignment-5.pdfpdf Assignment-5.pdf manage 93 K 01 Oct 2019 - 19:00 Main.smithpe  
ENGR123_2019_Test2_Solutions.pdfpdf ENGR123_2019_Test2_Solutions.pdf manage 244 K 01 Oct 2019 - 18:44 Main.smithpe  
T4sols.pdfpdf T4sols.pdf manage 104 K 07 Oct 2019 - 08:24 Main.smithpe  
TestAssignment.pdfpdf TestAssignment.pdf manage 496 K 16 Sep 2019 - 15:28 Main.smithpe  
ex2016.pdfpdf ex2016.pdf manage 245 K 09 Oct 2019 - 13:41 Main.smithpe  
ex2017.pdfpdf ex2017.pdf manage 223 K 09 Oct 2019 - 13:41 Main.smithpe  
ex2018.pdfpdf ex2018.pdf manage 247 K 09 Oct 2019 - 13:41 Main.smithpe  
exam_cover_formulas.pdfpdf exam_cover_formulas.pdf manage 127 K 07 Oct 2019 - 12:45 Main.smithpe  
revQs.pdfpdf revQs.pdf manage 54 K 09 Oct 2019 - 13:40 Main.smithpe  
revsols.pdfpdf revsols.pdf manage 167 K 09 Oct 2019 - 13:40 Main.smithpe  
test2016sols.pdfpdf test2016sols.pdf manage 153 K 16 Sep 2019 - 15:28 Main.smithpe