ENGR 123 (2023) - Home Page

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

Connecting with us


Announcements will be made via the nuku announcement system.


The Course Coordinator is Dr Steven Archer. The lecturers are Prof Peter Smith and Steven.

Petes office hours are open door, if the door is open, take a punt! Stevens office hours are Tue/Wed/Fri 11-12noon in CO363 or whenver the door is open. You can also book in a time with either of us.

For administrative queries on assignments, tutorials and marking contact the relevent lecturer and the coordinator in the same email.

Dr Howard Lukefahr is in charge of the labs, their supervision, report marking, and the lab content for this course. Any queries about those should go to Howard in the first instance.


See the time table for an indication of when things are happening.

Tutorials start in week one and run in two flavours. See the time table for details.

Labs are also on Thursdays, also starting in week one. Again see the time table and lab resources pages for details.

Class Representative

The class rep will be elected in week one of classes.


The Discord server link will be posted here.

Extra Help

Many staff are contactable by email details on this page

Content and material

Lecture Notes

Assignments and Tutorials and Answers

Test One

Test one is on in week four, on Wed 6/12 in the lecture slot (12-2pm in HMLT001). Cover pages and formula sheets will be posted closer to the time.

Check the nuku announcements, email Steven and Pete if you still have any queries.

Both tests are out of 50, cover and formula sheets to appear here soon.


  • [https://ecs.wgtn.ac.nz/foswiki/pub/Courses/ENGR123_2023T3/WebHome/Engr123_Test1_2021T3-solns.pdf][Solutions to the 2023 first test]]
  • Solutions to induction questions from the 2017, 2018 and 2019 exams.

Below are old discrete tests.


Here are sample test questions on statistics that are useful revision. Assignment 1 and 2 and tutorial 1 and 2 are also excellent revision. The test will cover all the statistics material up to the end of discrete random variables. There will be one question on data types, graphics and summary statistics, one question on general discrete random variables, one question on particular discrete random variables (binomial, Poisson, geometric) and one question on expectations. There will be no questions on continuous random variables.

Test Two

Here are sample test questions (with solutions) on statistics that are useful revision. Assignment 3 and 4 and tutorial 3 and 4 are also excellent revision. The test will cover all the statistics material from continuous random variables onwards. There will be 3 questions, one on general continuous random variables, one on particular continuous random variables and one on estimation and confidence intervals.

Here is the statistics formula sheet for tests one and two.

Here is the format of the statistics test for test 2 as discussed in the lecture on 10 December. This gives you examples of typical questions which might be asked in the three questions. The first example question has a typo in the PDF - it should be multiplied by 2 so that the PDF integrates to 1.

Here is the cover sheet for discrete test two.

The old discrete tests linked for test one are also good for test two.


There is no textbook for Engr 123.

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

Assessment information

See the course outline for an overview.

A quick summary is that Assignments are worth 25%, Labs 25%, Test one 25% and Test two 25%.

Keeping current

Videos Of Lectures

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

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.

Extra Help from Student Learning

There is more help available from Vic's Student Learning. 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:


This summer, student learning will offer study and writing skills workshops in November and will be available to support students in T3.

Extension problems

You may not be able to solve these problems initially, but we'll build up skills to make them accessible.
I Attachment Action Size Date Who Comment
2017_2_ENGR123_induction.pdfpdf 2017_2_ENGR123_induction.pdf manage 1 MB 30 Nov 2021 - 11:07 Main.sarcher  
2018_2_ENGR123_induction.pdfpdf 2018_2_ENGR123_induction.pdf manage 1 MB 30 Nov 2021 - 11:08 Main.sarcher  
2019_2_ENGR123_induction.pdfpdf 2019_2_ENGR123_induction.pdf manage 1 MB 30 Nov 2021 - 11:08 Main.sarcher  
2020test.pdfpdf 2020test.pdf manage 911 K 24 Nov 2021 - 16:04 Main.smithpe  
ENGR123_Test2_2018.pdfpdf ENGR123_Test2_2018.pdf manage 71 K 23 Nov 2021 - 11:50 Main.sarcher  
ENGR123_Test2_2018_Solutions.pdfpdf ENGR123_Test2_2018_Solutions.pdf manage 286 K 23 Nov 2021 - 11:50 Main.sarcher  
Engr123_Test1Solns_2019T2_ForPosting.pdfpdf Engr123_Test1Solns_2019T2_ForPosting.pdf manage 466 K 23 Nov 2021 - 11:51 Main.sarcher  
Engr123_Test1_2019T2.pdfpdf Engr123_Test1_2019T2.pdf manage 92 K 23 Nov 2021 - 11:51 Main.sarcher  
Engr123_Test1_2021T2-formula.pdfpdf Engr123_Test1_2021T2-formula.pdf manage 24 K 23 Nov 2021 - 11:39 Main.sarcher  
Engr123_Test1_2021T2.pdfpdf Engr123_Test1_2021T2.pdf manage 113 K 23 Nov 2021 - 12:06 Main.sarcher  
Engr123_Test1_2021T2_Solns.pdfpdf Engr123_Test1_2021T2_Solns.pdf manage 3 MB 30 Nov 2021 - 12:46 Main.sarcher  
Engr123_Test1_2021T3-solns.pdfpdf Engr123_Test1_2021T3-solns.pdf manage 1 MB 13 Dec 2021 - 08:44 Main.sarcher  
Engr123_Test1_2021T3_Coversheet.pdfpdf Engr123_Test1_2021T3_Coversheet.pdf manage 33 K 29 Nov 2021 - 15:43 Main.sarcher  
Engr123_Test2_2021T3-cover.pdfpdf Engr123_Test2_2021T3-cover.pdf manage 33 K 13 Dec 2021 - 15:17 Main.sarcher  
Formulas_for_Test1_Stats.pdfpdf Formulas_for_Test1_Stats.pdf manage 27 K 30 Nov 2023 - 16:53 Main.smithpe  
Stats_2019_T2_123_FinalExam_soln.pdfpdf Stats_2019_T2_123_FinalExam_soln.pdf manage 183 K 24 Nov 2021 - 15:23 Main.smithpe  
Stats_Test2_2021T2_solutions.pdfpdf Stats_Test2_2021T2_solutions.pdf manage 368 K 24 Nov 2021 - 15:19 Main.smithpe  
Test1-2021T3.pdfpdf Test1-2021T3.pdf manage 155 K 23 Nov 2021 - 11:53 Main.sarcher  
Test1_Sols_2021T3.pdfpdf Test1_Sols_2021T3.pdf manage 268 K 14 Dec 2021 - 10:13 Main.smithpe  
Test2-2020.pdfpdf Test2-2020.pdf manage 84 K 24 Nov 2021 - 15:21 Main.smithpe  
TestExample.pdfpdf TestExample.pdf manage 496 K 24 Nov 2021 - 15:15 Main.smithpe  
formulasheet.pdfpdf formulasheet.pdf manage 28 K 24 Nov 2021 - 15:31 Main.smithpe  
t3sols.pdfpdf t3sols.pdf manage 328 K 26 Nov 2021 - 08:30 Main.smithpe  
test_format.pdfpdf test_format.pdf manage 74 K 10 Dec 2021 - 13:36 Main.smithpe  
testa.pdfpdf testa.pdf manage 183 K 06 Dec 2021 - 09:10 Main.smithpe  
testb.pdfpdf testb.pdf manage 368 K 06 Dec 2021 - 09:11 Main.smithpe  
testc.pdfpdf testc.pdf manage 496 K 06 Dec 2021 - 09:11 Main.smithpe  
testd.pdfpdf testd.pdf manage 229 K 06 Dec 2021 - 09:11 Main.smithpe