ENGR 121 (2022) - Home Page

Welcome to the home pages for ENGR 121: Engineering Mathematics Foundations for 2022 Trimester T1!


(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 Steven Archer (CO363), and 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.

  • Steven has an open-door policy on Tuesday. For weeks 3-5 it is all day 8.30am to 4pm. From week 6 on it will reduce.
  • Tanya has office hours every Thursday 1-3pm (weeks 3-9). If you cannot come during my office hours email me. In general, if I am in the office you are welcome to drop by.

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

In-person classs-reps are Chris Stevenson and Sajid Alam. Our online class rep is Arnav Dogra.

Thanks to the class reps for setting up discord and facebook pages.

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.

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 (60 minutes) will be held in the evening (6-7.00pm) on Tuesday April 26 (week 7). 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 Steven 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.

Solutions to test one are now available. And here are the solutions for version sat later.

Here is the mark distribution for test one.

Screenshot 20220513-175313.png

Examples of Test One

The following are included here for your information, but do not cover as much content as the test for 2021T2 will (the tests below were based on only 4 weeks of material). See Tutorials and Assignments 1-4 for the material covered in 2021T2.

Formula sheet

This formula sheet will be provided with both tests.

Test Two

Test Two (90 minutes) will be offered in person starting 9.30am on Friday June 10. Alternative arrangements will be made for anyone unable to take the test on campus, see Blackboard announcement. 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 25% towards your final grade.

Examples of Test Two

Note that these tests from previous years do not necessarily cover all the same content as has been covered in 2021T2. Test Two in 2021T2 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. There is no exam for ENGR121 in 2021T2 but these questions are still useful for revision purposes for Test 2. Test Two in 2021T2 will cover what was taught during weeks 7-12 this trimester i.e. differentiation, integration, vectors, matrices and probability.


The textbook for ENGR 121 is: Engineering Mathematics: A Foundation for Electronic, Electrical, Communications and Sytems 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:

Assignments 25%, Labs 25%, Test One 25%, Test Two 25%.

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 are strongly advised to complete all 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-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-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_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