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
You will need to purchase the manual from the CIT Copy Centre beside the Student Centre (in the same room as where you get your photos taken for your student card). Note that this is a cash-free area so you will need to put the appropriate amount of funds on your student card.
Week 1
In Week 1 we explained the kind of thing that we would be looking at in this module. We did a quick review of integral calculus.
Week 2
In Week 2 we will look at -substitutions. Then we will study Integration by Parts: this is the start of the new material (i.e. not MATH6019 material).
We will not have a Maple Lab until Week 3.
Quiz 1 Question Bank
Quiz 1 runs from 19:00 to 19:15 sharp on Wednesday 8 February.
P.20 – 22; Q. 1-4, 8, 9* (the answer is ), 11-13
If you have any specific difficulties with these questions, please email me. Your Quiz 1 Questions will be taken from these. Please see the tables that you will be given. The final answers will not be given on the quiz paper and neither is there any value in writing down the final answers alone — you will receive marks for full and correct solutions — but nothing for final answers without justification. No hints will appear either.
Please don’t learn off model solutions — you need to understand the material not just on a superficial level to do well later on.
Continuous Assessment
The Continuous Assessment is broken into Weekly Quizzes (20%) and Maple (10%).
There will be eleven weekly quizzes and your eight best results will count (so 2.5% per quiz from eight quizzes). You will receive an email (i.e. this one) on Thursday/Friday detailing the examinable exercises.
Maple consists of five labs and a Maple Test in the sixth lab. Satisfactory participation in labs gives you 1.5% and the Maple Test is worth 2.5%. More on this below.
Maple Labs
Due to the fact that there are more than 20 students attending the module MATH6037 Mathematics for Science 2.1, we will have to introduce a lab split.
You must fill out this poll specifying your preference. Please select both times if you are unfussy.
The following is the proposed schedule for Weeks 3, 5, 7, 8, 10, 11:
Group 1 – Starts at 18:00 and Finishes at 20:50:
Wednesdays 18:00-19:05 – Maple Lab in room C128
Wednesdays 19:15-19:30 – Weekly Quiz in C214
Wednesdays 19:30-20.50 – Theory class in room C214
Group 2 – Starts at 19:15 and Finishes at 22:00:
Wednesdays 19:15-19:30 – Weekly Quiz in C214
Wednesdays 19:30-20:50 – Theory class in room C214
Wednesdays 20.55-22:00 – Maple Lab in room C128
Spaces in each group will be allocated on a first come first served basis.
I will be starting the labs Week 3, Wednesday 15 February, so please respond to…
In weeks where there is no Maple Lab, the quiz will take place from 19:00-19:15 sharp.
Plan
- Week 3: Maple Lab 1 & Section 1.4
- Week 4: Section 1.4 & Section 1.5
- Week 5: Maple Lab 2 & Section 2.1
- Week 6: Section 2.2 & Sections 3.1-3.3
- Week 7: Maple Lab 3 & Sections 3.1-3.3
- Week 8: Maple Lab 4 & Section 3.4
- Week 9: Section 3.4
- Week 10: Maple Lab 5 & Section 3.4
- ————-EASTER————–
- Week 11: Maple Test & Section 3.4
- Week 12: Section 3.5
- ————-END OF LECTURES———-
- Week 13: Review Class — Summer 2015 Paper
Academic Learning Centre
I would urge anyone having any problems with the material to use the Academic Learning Centre. You will get best results if you come to the helpers there with specific questions.
Study
Please feel free to ask me questions about the exercises via email or even better on this webpage. Anyone can give me exercises they have done and I will correct them. I also advise that you visit the Academic Learning Centre.
Continuous Assessment
The Continuous Assessment is broken into Weekly Quizzes (20%) and Maple (10%). There will be eleven weekly quizzes and your eight best results will count (so 2.5% per quiz from eight quizzes). You will receive an email (i.e. this one) on Thursday/Friday detailing the examinable exercises. Maple consists of five labs and a Maple Test in the sixth lab. Satisfactory participation in labs gives you 1.5% and the Maple Test is worth 2.5%. More on this in the coming days.
Student Resources
Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc..
10 comments
Comments feed for this article
February 6, 2017 at 9:28 am
Student
Hi J.P.
I have the wrong answer for Q. 9, Q. 12, Q. 13. If you could get back to me before the quiz it would be great. Otherwise I’ll be fairly screwed I’d say.
Thank you.
February 6, 2017 at 9:32 am
J.P. McCarthy
Q.9 The anti-derivative is actually
so you should have
Q. 12 is the correct answer — see this by differentiating the answer using the chain rule. Alternatively do a
substitution.
Q. 13 (a) The region in question is:
http://www.wolframalpha.com/input/?i=Integrate%5Bx%5E2,%7Bx,1,2%7D%5D
Q.13 (b) The region in question is shown here: http://www5b.wolframalpha.com/input/?MSPStoreType=image%2Fgif&w=390.&h=300.&cdf=Animation&i=Integrate%5Be%5Ex,%7Bx,0,2%7D%5D
Regards,
J.P.
February 6, 2017 at 9:38 am
Student
Hi J.P.,
I attempted those questions and had one or two issues.
– Question 2. I didn’t know where to start with that question, it’s probably straight forward but I couldn’t figure it out.
– Question 9. I know you gave the answer but I don’t know what you did to get it.
– Question 11 and 13. Just didn’t where to start again.
I have attached my workings. If you get a chance could you give me direction on the ones above.
Thanks J.P.,
Regards.
February 6, 2017 at 9:40 am
J.P. McCarthy
Question 2 — the velocity is the rate of change of displacement/distance, and acceleration is the rate of change of velocity.
Question 9 — not sure what I was thinking… the anti-derivative is actually
so you should have
Q. 11 is is in the antidifferentiation tables… look for it here: https://jpmccarthymaths.files.wordpress.com/2012/02/newtables.pdf
Q. 13 (a) The region in question is:
http://www.wolframalpha.com/input/?i=Integrate%5Bx%5E2,%7Bx,1,2%7D%5D
Q.13 (b) The region in question is shown here: http://www5b.wolframalpha.com/input/?MSPStoreType=image%2Fgif&w=390.&h=300.&cdf=Animation&i=Integrate%
Regards,
February 6, 2017 at 9:42 am
Student
Hi J.P.,
I got the answer for Q. 4. What did throw me off was when it asked for the rate at which the level was rises. Am I to presume for future that rate refers to velocity?
Regards.
February 6, 2017 at 9:43 am
J.P. McCarthy
Velocity is the rate of change of distance.
To find the rate of change of a function you differentiate.
Regards,
J.P.
February 7, 2017 at 8:24 am
Student
I’m just going over the questions on the hand-outs you gave us. Would you have the answers for Q2,11 and 13?
February 7, 2017 at 8:26 am
J.P. McCarthy
I take it you mean solutions, as the answers are there.
Q. 2 — the rate of change of a function is given by the derivative. The surface area of a sphere is given by
.
Q. 11 — the antiderivative is in the tables — look for it here: https://jpmccarthymaths.files.wordpress.com/2012/02/newtables.pdf
Q. 13 — Q. 13 (a) The region in question is:
http://www.wolframalpha.com/input/?i=Integrate%5Bx%5E2,%7Bx,1,2%7D%5D
Q.13 (b) The region in question is shown here: http://www.wolframalpha.com/input/?i=Integrate%5Be%5Ex,%7Bx,0,2%7D%5D
Regards.
February 7, 2017 at 8:40 am
Student
Hi J.P,
In the quiz questions all answers are given bar Q. 2? Can you give the answer so I know if I’m right!
Cheers!
Regards.
February 7, 2017 at 8:41 am
J.P. McCarthy
The surface area of a sphere is in the tables; for example see: https://jpmccarthymaths.files.wordpress.com/2012/02/newtables.pdf
Regards.