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Student Feedback
If you would like to give fully anonymous feedback on this module and my teaching please go here.
Week 13
We will have revision by doing the Summer 2019 paper at the back of the manual. This will be on the Wednesday night 4 May in B188 as the Monday is a bank holiday.
Perhaps you would be advised to attempt this Summer 2019 paper between now and next week.
Homework/Study
Homework/Study at this time should be concentrated on doing exercises from the manual. It is up to you to decide on what chapters you should focus on.
Week 12
We had Test 2 based on Chapter 3 (results hopefully out this week), and then we finished off Chapter 4 with partial differentiation and error analysis. We skipped pages 199 to 202. These will not be examined the in the summer paper but are covered here (starting 14:35).
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
Student Feedback
If you would like to give fully anonymous feedback on this module and my teaching please go here.
Week 13
We will have revision by doing the Summer 2019 paper at the back of the manual. This will be on the Wednesday night 4 May in B188 as the Monday is a bank holiday.
15% Test 2 on Chapter 3
This will now be held at 19:00 25 April. See Canvas – > Assignments for more information (including sample solutions with comments).
Week 11
We had an hour of tutorial on the Test 2 Sample (based on Chapter 3) and then blasted into Chapter 4.
We did related rates and implicit differentiation.
Homework/Study
Homework/Study at this time should be concentrated on the Chapter 3 exercises.
There are exercises on pages 118, 123, 130, 134, 141, 150.
The more you put in obviously the better you will be at this stuff.
If you have somehow got to the stage that you feel you are fully prepared for Test 2 on Chapter 3, you could look at the Week 10 differentiation questions as well as:
- p.180, Q.1-3
- p.188, Q.1-4
with additional exercises p.180, Q.4-6, p.190, Q.5-7; with harder exercises p.180 Q.7 and p.190, Q.7 (f)
Week 12
We have Test 2 based on Chapter 3, and then we finish off Chapter 4 with partial differentiation and error analysis. We will have no tutorial time on Chapter 4. I was hoping to maybe skip error analysis but unfortunately I can not. We will be rushing to finish.
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
15% Test 2 on Chapter 3
This will now be held at 19:00 25 April. See Canvas for more information.
Week 10
With a focus on Chapter 3, we had an hour of tutorial on that, and then blasted into Chapter 4.
We did a review of differentiation and then looked at parametric differentiation.
Homework/Study
Homework/Study at this time should be concentrated on the Chapter 3 exercises.
There are exercises on pages 118, 123, 130, 134, 141, 150.
The more you put in obviously the better you will be at this stuff.
If you have somehow got to the stage that you feel you are fully prepared for Test 2 on Chapter 3, you could look at:
- p.162, Q. 1-2
- p.175, Q.1-3
with additional questions p.175, Q.4-7.
Week 11
We are going to have more tutorial time, I am going to print off copies of the sample test for ye (it is on Canvas under the Assignments button). If you want you can try the sample test during the week.
Then we are going to blast into related rates and implicit differentiation.
Week 12
We have Test 2 based on Chapter 3, and then we finish off Chapter 4 with partial differentiation and error analysis. We will have no tutorial time on Chapter 4.
Week 13
We will have revision by doing the Summer 2019 paper at the back of the manual.
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
Covid Disruption
My covid enforced absence on Monday was very unfortunate because it meant that ye lost out on possibly an hour of tutorial time for Test 2, which was scheduled for Week 11 (3 April).
I have decided that the best course of action is to postpone Test 2 until Week 12 (24 April), and try and get as much tutorial time into Weeks 10 and 11 on Chapter 3… and then you will also have Easter to work prepare for Test 2.
This isn’t a great strategy, because I would have liked ye to work on Chapter 2 over Easter, but I actually think we got some good time spent on tutorial on Chapter 2, so I think I am happy for us to pursue this plan.
15% Test 2 on Chapter 3
This will now be held at 19:00 24 April. See Canvas for more information.
Week 9
Ye were instructed to watch:
- Work done by a force (Links to an external site.)
- Centroid of lamina (Links to an external site.)
- Volumes of Revolution
Homework/Study
I would strongly recommend completing the following:
I would invite you to try
- p.134, Q.1-5
- p.141, Q.1-4
- p.150, Q.1-3
Additional exercises p.135, Q.6-7, p.142, Q.5-7, p.151, Q.4-5
Please feel free to ask me questions about the exercises via email. In addition, you can hand up your work in class and I will have it correct for the week after.
Week 10
We will have tutorial time on Chapter 3 up until he break and then we will blast into Chapter 4.
Week 11
Depending on how much Chapter 3 tutorial work we get done in Week 10, we might have tutorial time up to the break again and then more blasting of Chapter 4.
Week 12
We have Test 2 based on Chapter 3, and then we finish off Chapter 4. We will have no tutorial time on Chapter 4.
Week 13
We will have revision by doing the Summer 2019 paper at the back of the manual.
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
Week 8
We added two techniques to our antidifferentiation skills:
- Integration by Parts (a fourth method)
- Complete the square (a special manipulation)
We had about an hour of tutorial time.
Homework/Study
I would strongly recommend completing the following:
I would invite you to try
- p.123, Q.1-6
- p.130, Q.1-8
Additional exercises p.124, Q.7-8, and harder exercises Q. 9-11
You may have some of these done in class.
Please feel free to ask me questions about the exercises via email. In addition, you can hand up your work in class and I will have it correct for the week after.
Week 9
We will look at some applications of integration:
- work
- centroids of laminas and
- centres of gravity of solids of revolution
We may or may not have additional tutorial time.
Outlook
We will start Chapter 4 in Week 10, and Test 2, on Chapter 3, will be in Week 11. A sample test 2 will appear in Week 9. To make Test 2 easier you will be prompted in what technique (tables, manipulation (inc. complete the square), 
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
Week 7
We started with a Chapter 2 Concept MCQ.
We started Chapter 3, on Integration. We worked on material that is technically revision from last semester… but because of the rushed nature of MATH6012 I didn’t expect students to be very competent in the material… but actually it seems ye knew more than I had hoped. It is material that is important for Level 7.
We had 45 minutes of tutorial time.
Homework/Study
I would strongly recommend completing the following:
I would invite you to try
- p.118, Q.1-13
You may have some of these done in class.
Please feel free to ask me questions about the exercises via email. In addition, you can hand up your work in class and I will have it correct for the week after.
Week 8
We will add two techniques to our antidifferentiation skills:
- Integration by Parts (a fourth method)
- Complete the square (a special manipulation)
Outlook
In Week 9 we will look at some applications of integration:
- work
- centroids of laminas and
- centres of gravity of solids of revolution
We will start Chapter 4 in Week 10, and Test 2, on Chapter 3, will be in Week 11. A sample test 2 will appear in Week 9.
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
Test 1 Results
Are released on Canvas.
Test 2 will be in Week 11 and will examine Chapter 3 (which will be covered in Weeks 7-9).
Week 6
We finished Chapter 1 by talking about determinants and Cramer’s Rule.
We had about an hour and a half of tutorial time.
Read the rest of this entry »Test 1 Results
Should be released on Canvas at some stage this week. Test 2 will be in Week 11 and will examine Chapter 3 (which will be covered in Weeks 7-9).
Week 5
We had Test 1.
We looked at linear systems. We had about an hour of tutorial time.
Read the rest of this entry »Test 1 Monday 21 February
Please see Canvas —> MATH6040 —> Assignments for more information.
Lectures on Chapter 2 will continue at 20:25.
Week 4
For technical reasons, we were unable to have the Concept MCQ about vectors so we started by looking at Chapter 2: Matrices. We did some examples of matrix arithmetic and looked at Matrix Inverses — “dividing” for Matrices. This allowed us to solve matrix equations.
Some deeper discussion here:
Why do we multiply matrices like we do?
We had no tutorial time (bar Example 4 on p.71).
Read the rest of this entry »In theory (see Learner Workload) you are supposed to spend seven hours per week on MATH6040. I know this might not be possible for everyone, but there is no doubt that spending four hours per week on exercises is going to be best for your learning. Any questions, please email.
Test 1 – Week 5
Please see Canvas —> MATH6040 —> Assignments for more information.
Week 3
Lecture
In Week 3 we finished Chapter 1, and the material for Test 1, by talking at the applications of vectors to work and moments
We had an hour and a half of tutorial time on the p.47 and p.40 Exercises.
Exercises
How much time you put into homework is up to you: of course the more time you put in the better but we all have competing interests. Please feel free to ask me questions about the exercises:
- Sample Test 1, p.56-61 (gives an idea of layout and length only)
- p. 47, Q.1-6
There is an applet to play with:
Additional questions include:
- p. 49, Q.7-14
There are more questions to be found in Weeks 1 and 2.
Additional practise questions (beyond the manual) may be found by looking at past MATH6040 exam papers.
Week 4
We will start at 19:05 with a Vectors Concept MCQ.
We will start looking at Chapter 2: Matrices. We will some examples of matrix arithmetic and look at Matrix Inverses — “dividing” for Matrices. This will allow us to solve matrix equations.
We will likely have no tutorial time.
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
J.P. McCarthy: Math Page 
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