Week 2
You are advised to to spend seven hours per week on MATH6055. This should comprise of however long it takes 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, the mechanism for submitting work is not yet set up.
Lecture
Schedule about three hours to watch these two hours of lectures. I recommend about 50% extra time as you will want to pause/rewind.
- Laws of Sets and Illustrations of DeMorgan’s Laws (25 minutes)
- Inclusion/Exclusion Principle; and some difficult notational stuff (14 minutes)
- Cartesian Products (21 minutes)
- Tuples: Passwords and Bit Strings (7 minutes)
- Relations (22 minutes)
Here is the first tranch of notes if you have not purchased nor printed off a manual
- Relations: Examples and Reflexivity (27 minutes)
Exercises
I recommend spending four hours on this week’s exercises.
I do not at the time of writing have the mechanism in place for submitting work.
You can (carefully) take photos of your work. If possible, convert the images to 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.
Ordinarily I would encourage you to ask questions via email at any time but at present this mechanism is not in place.
Do/attempt:
- p. 32, Q. 10-11
- p. 33, Q. 12-14
- p. 38, Q. 1-5
- p. 39, Q. 6
- p. 43, Q. 1-2
Additional/Harder Exercises:
- p.34, Q. 26
- p. 39, Q. 7-8
- p. 43, Q. 3-6
Week 3
In Week 3 we will finish Chapter 1 by looking more at relations and their properties. We will start our study of Chapter 2: Functions. A function is a special type of relation.
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 with specific questions.
Assessment
At the time of writing, the assessment schedule has not been finalised, but we are considering two 50% tests.
Student Resources
Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.
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