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Test 2
The second 15% test will take today, 4 pm MONDAY 23 November in B263 (Week 11). You can find a sample in the course notes. You will be given from 16.05 — 17.00. You will be given a copy of these tables. Don’t worry I’ll scribble out the “UCC”!
The test will be composed of eight antiderivatives and integrals.
Week 10
We finished substitution and partial fractions. We started working on area.
Week 11
We will do some more examples on area. We will have a quick section on volume and then we will talk about applications to work.
Test 2
The second 15% test will take place at 4 pm MONDAY 23 November in B263 (Week 11). You can find a sample in the course notes. You will be given from 16.05 — 17.00. You will be given a copy of these tables. Don’t worry I’ll scribble out the “UCC”!
The test will be composed of eight antiderivatives and integrals.
Week 9
We worked on antidifferentiation by substitution.
Week 10
We have finished substitution and started partial fractions. We will also start working on area.
I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.
Test 2
The second 15% test will take place at 4 pm MONDAY 23 November in B263 (Week 11). You can find a sample in the course notes. You will be given from 16.05 — 17.00. You will be given a copy of these tables. Don’t worry I’ll scribble out the “UCC”!
The test will be composed of eight antiderivatives and integrals.
Week 8
We started evaluating some straightforward integrals using the Fundamental Theorem of Calculus. We started looking into antidifferentiation by substitution.
Week 9
We will spend Week 9 working on substitution.
I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.
Test 1 Results
Have been emailed to you.
Week 7
In Week 7 we finished off the first chapter and began the second chapter: on Integration.
Week 8
In Week 8 we will start evaluating some straightforward integrals using the Fundamental Theorem of Calculus. Then we will look into anti-differentiation in more detail.
I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.
Test 1 Results
Pending…
Week 6
In Week 6 we did some more max/min problems and even some applied examples.
Week 7
In Week 7 we will finish off the first chapter and begin the second chapter: on Integration.
I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.
Test 1
The first 15% test will take place today 4 pm MONDAY 19 October in B263 (Week 6). You can find a sample in the course notes, after the section on rates of change I think. It is a test that could arguably take 42 minutes but I’ll give ye from 16.05 — 17.00. You will be given a copy of these tables. Don’t worry I’ll scribble out the “UCC”!
Note that the format will be the same of this.
- Differentiation from First Principles
- Tangent Lines
- Differentiate by Rule
- Differentiate by Rule
- Differentiate by Rule
- Rates of Change
- Rate of Change/ Geometry of Graph,
Week 5
In Week 5 we had a very quick review of the algebra-geometry duality and then spoke about applications of differentiation to rates of change and finding the maximum/minimum of a function.
Week 6
In Week 6 we will apply what we learned to optimisation problems. Note there are no classes on Friday.
I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.
Test 1
The first 15% test will take place at 4 pm MONDAY 19 October in B263 (Week 6). You can find a sample in the course notes, after the section on rates of change I think. It is a test that could arguably take 42 minutes but I’ll give ye from 16.05 — 17.00. You will be given a copy of these tables. Don’t worry I’ll scribble out the “UCC”!
Note that the format will be the same of this.
- Differentiation from First Principles
- Tangent Lines
- Differentiate by Rule
- Differentiate by Rule
- Differentiate by Rule
- Rates of Change
- Rate of Change/ Geometry of Graph,
but this is dependent on our progress in lectures.
Week 4
In Week 4 we covered the Chain Rule in depth.
Week 5
In Week 5 we will have a quick review of the algebra-geometry duality and then talk about applications of differentiation to rates of change.
I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.
Test 1
The first 15% test will take place at 4 pm MONDAY 19 October in B263 (Week 6). You can find a sample in the course notes, after the section on rates of change I think. It is a test that could arguably take 42 minutes but I’ll give ye from 16.05 — 17.00. You will be given a copy of these tables. Don’t worry I’ll scribble out the “UCC”!
Note that the format will be the same of this.
- Differentiation from First Principles
- Tangent Lines
- Differentiate by Rule
- Differentiate by Rule
- Differentiate by Rule
- Rates of Change
- Rate of Change/ Geometry of Graph,
but this is dependent on our progress in lectures.
Week 3
In Week 3 we covered everything in the notes up to the quotient rule.
Week 4
In Week 4 we will talk about another way of combining functions — composition — and how to differentiate them — the Chain Rule.
I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.
Extra Tutorial
There will be no MATH6015 tutorial tomorrow morning, Friday 25 September.
This class will be rescheduled for 13:00 on Thursday 1 October in B185.
This means that there will be three tutorials next week. If you missed Monday’s tutorial and were planning on attending Friday I expect you to make two of next week’s tutorials.
Week 2
In Week 2 we learned how to differentiate with respect to first principles and also how to differentiate sums of differentiable functions.
Week 3
In Week 3 we will continue talking about the duality between algebra & geometry and perhaps begin to talk about differentiating some more functions.
I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.
Manuals
The manuals are available in the Reprographic/Copy Centre. You will need these notes for next week.
Week 1
In week one we spoke about the questions that the derivative was originally formulated to answer. Namely how do we find the tangent to a curve.
Week 2
In Week 2 we will look at calculating some derivatives.
Tutorials
Tutorials start properly this week:
- Monday 17:00 in B189
- Friday 09:00 in B185
As discussed on Thursday, you must make at least ONE of these classes every week.
J.P. McCarthy: Math Page 
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