ENGR 121 (2022) - Home Page

Welcome to the home pages for ENGR 121: Engineering Mathematics Foundations for 2022 Trimester T2!

Lecture times

Lecture take place on Mondays, Tuesdays, Wednesdays, and Fridays, in Murphy Lecture Theatre 220, between 11.00am and 11.50am.

The zoom link for lectures is


(The password is ENGR121 but you shouldn't need this.)

Arrangements at different Covid-19 alert levels



Announcements will be sent to your myvuw email address, using the Blackboard system. You can also read past announcements by going to the Blackboard page. Please make sure you read all announcements as this is how we communicate important updates and information to you.


The Course Coordinator is Tanya Gvozdeva (CO362). Dillon Mayhew (CO435) is lecturing the first three weeks. Then Tanya Gvozdeva will lecture weeks 4-9 and Dr Howard Lukefahr is lecturing weeks 10-12. Please contact both the current lecturer and the course coordinator with any questions about the course.
  • Dillon's office hours: Tuesdays 12.00 to 1.00, in the lower level of the Hub, in the same place as the Math HelpDesk sessions.
  • Tanya's Office hours: Monday, Tuesday CO362, 10-11 am or by appointment.

Howard is in charge of the labs, their supervision, report marking, and the lab content for this course. He will also run in-person workshops. The workshops are on Mondays and Wednesdays, 6-8.30pm on zoom.

Class Representatives and Facebook/Discord page

Classs-rep is Riley West <westrile@myvuw.ac.nz>

Thanks to the class reps for setting up

Rainbow Discord

The VUW UniQ discord server is to be found at https://discord.gg/PyxnDu6. UniQ is our rainbow representative group on campus. They provide social and support space for students, a critical service during this potentially isolating time.

Extra Help

The office hours of math and statistics academics will be listed here.

Math 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.

Diagnostic Quiz

To help you decide whether or not you have the expected background to succeed in ENGR 121, we have set up a diagnostic quiz with 15 questions. This quiz is worth 1% of your final mark. You will get the full 1% for completing the quiz no matter how well you do, so don't use friends, a calculator, WolframAlpha, or any other online/offline tool! Instead, the point of this quiz is for you to learn what you do not know so that we can advise you as to whether you’re well-prepared for ENGR 121.

If you find that you were only able to answer 10 or less of the questions correctly in this quiz, talk to your lecturer or course coordinator! If you fall into this group, we strongly recommend that you take MATH 132 before enrolling in ENGR 121. MATH 132 will give you the mathematical background needed to succeed in ENGR 121, and is well worth taking if your mathematical background is shaky!

Finally, even if you did reasonably well in this quiz, make sure to review the questions that you get wrong. Blackboard will show you all of the problems you answered incorrectly after you hit submit. For each incorrect answer, you’ll see a small explanation for what likely went wrong, along with a link to a revision page to help you fill in any small gaps in your understanding. Do this when you get a chance, as the skills described here are ones we're assuming you have when you enter this paper / are critical for success in ENGR 121!

We ask you to complete it before the end of July 20th! If you complete it after this deadline, it does not count towards your final grade.

Weekly quizzes

Every week you will have a short quiz. There is no preset day for the quiz, it can be open on any day. Each quiz will be open till midnight. We expect any of these take around 5-10min if you attend/watch lectures. Only 10 best quizzes out of 12 counted towards the final grade. They are worth 4% of your final mark.

Lecture Notes and Slides

Assignments and Tutorials and Answers


Showing working

Our policy in ENGR121 on showing working in assignments and tests is that it is always a good idea! Some questions will explicitly ask you to show working, and in that case you will need to show it to get full marks. An incorrect answer with no working shown cannot attract any marks.

Test One

Test one (70-90 minutes) is held in the seventh week of the trimester (the week after the break). Test 1 will be held on Monday, Sept 5, at 6 pm in MCLT102. Students are expected to take the test in person. If a student is studying the course via distance an alternative arrangement will be made for them to take the test. Note that a working camera and microphone will be required if you take the test off campus.

Test Coverage: Test One will cover material from weeks 1-6, taught by Dillon and Tanya. Material in Assignments and Tutorials 1-4 is included, as well as printed notes.

Test One is worth 25% towards your final grade.

Examples of Test One

The following are included here for your information but do not cover as much content as the test for 2022T2 will (the tests below were based on only 4 weeks of material). See Tutorials and Assignments 1-4 for the material covered in 2022T2.

Formula sheet

This formula sheet will be provided with both tests.


Test Two (120 minutes) will be in person during the exam period. Alternative arrangements will be made for students studying the course via distance. Keep an eye on Blackboard announcements. Note that a working camera and microphone will be required if you take the test off campus.

Test Coverage: Test Two will cover Howard and Tanya's sections of the course (weeks 7-12). Material in Assignments and Tutorials 5-8 is included, as well as printed notes.

Test Two is worth 30% towards your final grade.

Examples of Exam

Note that these tests from previous years do not necessarily cover all the same content as has been covered in 2022T2. Exam in 2022T2 will cover what was taught during weeks 7-12 this trimester i.e. differentiation, integration, vectors, matrices and probability.

Previous Exams

Past exam papers can be found on the library page. You'll find exam papers since 2014.


Or you can just go here for previous exams.

Here are some past exams and some model answers.


The textbook for ENGR 121 is: Engineering Mathematics: A Foundation for Electronic, Electrical, Communications and Systems Engineers (5th Edition), by Anthony Croft, Robert Davison, Martin Hargreaves and James Flint, Pearson, 2012. We follow this book very closely, and it is also the text for ENGR 122 Engineering Mathematics with Calculus, so it will be very useful. It costs about $146 at Vic Books. It is recommended, not required, since the lecture notes are so detailed.

Also recommended, but not required, is Engineering Mathematics, by K.A. Stroud, with Dexter J. Booth, Palgrave MacMillan, London.

Detailed lecture notes will also be posted on the course homepages from week to week. All of these books are also available at the Victoria University library (as ebooks or physical books).

If you want details on how to search the Library resources yourself this can be found at https://www.wgtn.ac.nz/library/how-to-use-the-library/searching-for-resources/using-te-waharoa


Here is how your percentage mark is calculated, on which your final grade is based:

Diagnostic quiz 1%, Quizzes 4%, Assignments 20%, Labs 20%, Test One 25%, Test Two 30%.

You can miss up to two assignments without penalty as the best 6 of 8 assignments are counted. You can also miss one lab without penalty as the best 3 of 4 labs are counted. You can miss up to two weekly quizzes as the best 10 out of 12 quizzes are counted. You are strongly advised to complete all quizzes, assignments, and labs, to maximise your grade for the course. By completing all assignments and labs in the first 6 weeks of the course, for example, you are then putting marks in the bank for the second half in case you get sick or otherwise indisposed later on.

Assignments and labs are fully marked, you can get very useful feedback from looking over your marked work.

Joining Lectures via Zoom

Direct link to lectures via Zoom: https://vuw.zoom.us/my/Engr121 or enter meeting ID: 924 6474 2380

Videos Of Lectures

We record all lectures to video. To see videos of lectures, please go to Blackboard, select ENGR121, then select VStream Videos on the top left-hand panel. Recordings become available approximately 1 hour after the lecture finishes. They are also available in the lectures by week folders.


This schedule describes what we plan to cover during lectures in ENGR121.

Extra Help from Student Learning

There is more help available from Student Learning. They will help you with ENGR121, and they can also help advise on study habits and how to pass courses. Take a look at their website:

I Attachment Action Size Date Who Comment
ENGR121 26-07-2022.pdfpdf ENGR121 26-07-2022.pdf manage 1 MB 26 Jul 2022 - 14:25 Main.mayhew  
ENGR121-Test 2-2018.pdfpdf ENGR121-Test 2-2018.pdf manage 180 K 23 Sep 2020 - 09:40 Main.coxd1  
ENGR121-Test 2-2019T1.pdfpdf ENGR121-Test 2-2019T1.pdf manage 178 K 14 Oct 2021 - 11:29 Main.coxd1  
ENGR121-Test 2-2019T1_sol.pdfpdf ENGR121-Test 2-2019T1_sol.pdf manage 142 K 14 Oct 2021 - 11:30 Main.coxd1  
ENGR121_2017_exam.pdfpdf ENGR121_2017_exam.pdf manage 139 K 23 Sep 2020 - 09:39 Main.coxd1  
ENGR121_2017_exam_modelAnswers_ALL.pdfpdf ENGR121_2017_exam_modelAnswers_ALL.pdf manage 1 MB 23 Sep 2020 - 09:40 Main.coxd1  
ENGR121_2017_testv2.pdfpdf ENGR121_2017_testv2.pdf manage 78 K 04 Sep 2020 - 11:27 Main.coxd1  
ENGR121_2018_exam Solutions_Thuong_SecondHalf.pdfpdf ENGR121_2018_exam Solutions_Thuong_SecondHalf.pdf manage 1 MB 14 Oct 2021 - 11:32 Main.coxd1  
ENGR121_2018_exam-final version-copy.pdfpdf ENGR121_2018_exam-final version-copy.pdf manage 147 K 14 Oct 2021 - 11:43 Main.coxd1  
ENGR121_2018_exam-final version.pdfpdf ENGR121_2018_exam-final version.pdf manage 147 K 23 Sep 2020 - 09:40 Main.coxd1  
ENGR121_2019_exam_full2.pdfpdf ENGR121_2019_exam_full2.pdf manage 128 K 14 Oct 2021 - 11:34 Main.coxd1  
ENGR121_TestOne_2016.pdfpdf ENGR121_TestOne_2016.pdf manage 74 K 04 Sep 2020 - 11:27 Main.coxd1  
ENGR121_TestOne_2016_Answers.pdfpdf ENGR121_TestOne_2016_Answers.pdf manage 847 K 04 Sep 2020 - 11:26 Main.coxd1  
ENGR121_TestOne_2018.pdfpdf ENGR121_TestOne_2018.pdf manage 86 K 04 Sep 2020 - 11:28 Main.coxd1  
ENGR121_TestOne_2019.pdfpdf ENGR121_TestOne_2019.pdf manage 86 K 20 Apr 2022 - 14:42 Main.gvozdeta  
ENGR121_TestOne_2021-solution.pdfpdf ENGR121_TestOne_2021-solution.pdf manage 2 MB 22 Apr 2022 - 18:03 Main.gvozdeta  
ENGR121_TestOne_2021-solutions.pdfpdf ENGR121_TestOne_2021-solutions.pdf manage 166 K 07 Sep 2021 - 17:39 Main.coxd1  
ENGR121_TestOne_2021-v1.pdfpdf ENGR121_TestOne_2021-v1.pdf manage 182 K 22 Apr 2022 - 18:03 Main.gvozdeta  
ENGR121_TestOne_2022t1-online-version 2.pdfpdf ENGR121_TestOne_2022t1-online-version 2.pdf manage 1 MB 29 Jun 2022 - 17:09 Main.gvozdeta  
ENGR121_TestOne_2022t1-online-version2-solns.pdfpdf ENGR121_TestOne_2022t1-online-version2-solns.pdf manage 1 MB 16 May 2022 - 08:08 Main.sarcher  
ENGR121_TestOne_2022t1-solution.pdfpdf ENGR121_TestOne_2022t1-solution.pdf manage 2 MB 10 May 2022 - 21:35 Main.gvozdeta  
ENGR121_TestOne_2022t1.pdfpdf ENGR121_TestOne_2022t1.pdf manage 1 MB 29 Jun 2022 - 15:33 Main.gvozdeta  
ENGR121_Test_2017_sols.pdfpdf ENGR121_Test_2017_sols.pdf manage 89 K 04 Sep 2020 - 11:27 Main.coxd1  
FormulaSheet.pdfpdf FormulaSheet.pdf manage 1 MB 07 Oct 2020 - 13:36 Main.coxd1  
FormulaSheet_updated2020T3.pdfpdf FormulaSheet_updated2020T3.pdf manage 1 MB 03 May 2021 - 14:00 Main.coxd1  
ModelAnswers_ENGR121_Test1_2018.pdfpdf ModelAnswers_ENGR121_Test1_2018.pdf manage 330 K 10 Aug 2021 - 17:17 Main.coxd1  
PetesAnswersSecondHalfExam.pdfpdf PetesAnswersSecondHalfExam.pdf manage 404 K 14 Oct 2021 - 12:02 Main.coxd1  
Screenshot_20220513-175313.pngpng Screenshot_20220513-175313.png manage 44 K 13 May 2022 - 17:58 Main.sarcher  
Test2_2016.pdfpdf Test2_2016.pdf manage 84 K 23 Sep 2020 - 12:17 Main.coxd1  
Test2_2016_sol.pdfpdf Test2_2016_sol.pdf manage 223 K 23 Sep 2020 - 12:16 Main.coxd1  
Test2_2017.pdfpdf Test2_2017.pdf manage 117 K 23 Sep 2020 - 09:41 Main.coxd1  
Test2_2021.pdfpdf Test2_2021.pdf manage 178 K 08 Jun 2022 - 11:20 Main.lukefaho  
TestOne_model_answers-2019.pdfpdf TestOne_model_answers-2019.pdf manage 254 K 20 Apr 2022 - 14:43 Main.gvozdeta  
Test_2017_sols.pdfpdf Test_2017_sols.pdf manage 89 K 19 Apr 2022 - 19:14 Main.gvozdeta  
Tutorial4-Sol.pdfpdf Tutorial4-Sol.pdf manage 7 MB 11 Aug 2021 - 09:23 Main.coxd1  
Worksheet on limits and series 2020T2.pdfpdf Worksheet on limits and series 2020T2.pdf manage 1 MB 20 Aug 2020 - 13:29 Main.coxd1  
Worksheet solutions Part A.pdfpdf Worksheet solutions Part A.pdf manage 1 MB 20 Aug 2020 - 13:24 Main.coxd1  
Worksheet solutions Part B.pdfpdf Worksheet solutions Part B.pdf manage 2 MB 20 Aug 2020 - 13:25 Main.coxd1  
test 2 revision notes (week 7-9)-solution.pdfpdf test 2 revision notes (week 7-9)-solution.pdf manage 11 MB 09 Jun 2022 - 16:57 Main.gvozdeta  
test 2 revision notes (week 7-9).pdfpdf test 2 revision notes (week 7-9).pdf manage 157 K 06 Jun 2022 - 21:26 Main.gvozdeta  
test2revision.pdfpdf test2revision.pdf manage 53 K 14 Oct 2021 - 11:30 Main.coxd1  
testv2.pdfpdf testv2.pdf manage 78 K 19 Apr 2022 - 19:15 Main.gvozdeta