Week 3
You are advised to to spend seven hours per week on MATH7019. This should comprise of however long is recommended to watch the lectures, and then the rest of time should be spent doing exercises, emailing questions, and submitting work. At the time of writing, tutorials consist of you emailing questions and getting feedback on submitted work, but this is subject to change.
Chapter 1 Lectures
Schedule about an hour and a quarter to watch these 51 minutes of lectures. I recommend about 50% extra time as you will want to pause/rewind.
- Non-linear Laws and Linearisation (14 minutes)
- Log-Linear Least Squares: Example I (19 minutes)
- Log-Linear Least Squares Example II & Curve Fitting Summary (15 minutes)
Here are Chapter 1 slides if you have not purchased or printed off the manual.
Chapter 1 Exercises
You need to schedule about two and a quarter hours to work on these exercises.
- p.41, linearise.
- p.49, Q.1-7.
Chapter 2 Lectures
Schedule about an hour and a quarter to watch these 54 minutes of lectures. I recommend about 50% extra time as you will want to pause/rewind.
- Beams: Intro and Calculus Review (23 minutes)
- Intro to Differential Equations (4 minutes)
- Impulse and Step Functions (27 minutes)
Chapter 2 Exercises
You need to schedule about two and a quarter hours to work on these exercises.
- p. 59, Q. 1-2.
- p.65, Q.1-3.
Information for Exercises
Do not hesitate to contact me with questions at any time. My usual modus operandi is to answer all queries in the morning but sometimes I may respond sooner. I am not sure exactly what will happen with these questions while I am on paternity leave… hopefully someone will take these questions for you.
You can (carefully) take photos of your work and submit to the Week 3 Exercises those images on Canvas before midnight Sunday 11 October. The intention would be that after 09:00 Monday 12 October someone (I am going on two weeks paternity leave at some stage) will download all student work and reply with feedback.
If possible, submit the images as a single pdf file. To do this, select all the images in a folder, right-click and press print. It will say something like How do you want to print your pictures? Press (Microsoft?) Print to PDF. If possible choose an orientation that has all the images in portrait.
Week 4
We will plough into Chapter 2, looking at simply supported beams.
Academic Learning Centre
I would urge anyone having any problems with material that isn’t being addressed in the tutorial communication to use the Academic Learning Centre. If you are a little worried about your maths this semester you need to be aware of this resource. You will get best results if you come to the helpers there ith specific questions.
Assessment 1
Assessment 1 has a provisional hand-in of the end of Week 4, start of Week 5. Once the class list is established I can send on the student-number-personalised assessment.
Student Resources
Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.
J.P. McCarthy: Math Page 
2 comments
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October 12, 2020 at 10:28 am
J.P. McCarthy
A student hoped to solve p. 50, Q. 3 (iii), and needed to solve:
We will only use four significant figures for intermediate calculations.
To get rid of the
we apply its inverse to both sides:
To get rid of the
we apply its inverse to both sides:
To get rid of the
we apply its inverse to both sides:
October 12, 2020 at 10:41 am
J.P. McCarthy
A student hoped to solve p.50, Q. 5 (c) and needed to solve:
With an inequality we can apply INCREASING functions to both sides, or apply a DECREASING function and flip the inequality. Division by a positive number and
are increasing functions, while division by a negative number is DECREASING (alternatively naively solve an equation for 
).
To get rid of the
we apply its inverse to both sides (using four significant figures):
To get rid of the
we apply its inverse to both sides:
To get rid of the decreasing function
we apply its inverse and flip the inequality:
so approximately 13 hours later.