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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 Copy Centre and must be purchased as soon as possible (you definitely need them for Week 3). More information has been sent out via email.

Academic Learning Centre

If you are a little worried about your maths this semester, perhaps after the Quick Test or in general, I would just like to remind you about the Academic Learning Centre. Next week, some students will receive slips detailing areas of maths that they should brush up on. The timetable is here: there is some availability after 16:00 on Mondays and Tuesdays.

Week 1

We began our study of Chapter 1, Vector Algebra by studying the difference between a scalar (single number) and a vector (list of numbers). We looked at how to both visualise vectors and describe them algebraically. We learned how to find the magnitude  and direction of a vector, add them and scalar multiply them. We spoke about displacement vectors and introduced the vector product known as the dot product.

Homework/Study

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 via email or even better on this webpage.

Next week we are going to be lucky in that we are going to have a significant amount of tutorial time, primarily with P. 23, Q.1-10. If you want to make a start on P.23 as homework will be a step ahead and invited to work on as per below.

  • P.23, Q.1-10
  • P.45, Sample Test, Q. 1, 2, 4
  • P. 203, Winter 2018, Q. 1 (a), (b)
  • I also handed out an older exam paper: you might be able to do some of Q. 1 (a).

Week 2

In Week 2 we will finish the dot product examples before doing some tutorial work on the p.23 exercises.

Test 1

The test will probably be the Week 5: if progress with the vectors material is slow, we may push this out to Week 6. Official notice will be given in Week 3 (or Week 4 if necessary). There is a sample test in the notes.

CIT Mathematics Exam Papers

These are not always found in your programme selection — most of the time you will have to look here.

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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Mathematics Exam Advice

  • The first piece of advice is to read questions carefully. Don’t glance at a question and go off writing: take a moment to understand what you have been asked to do.
  • Don’t use tippex; instead draw a simple line(s) through work that you think is incorrect. 
  • For equations, check your solution by substituting your solution into the original equation. If your answer is wrong and you know it is wrong: write that on your script.

If you do have time at the end of the exam, go through each of your answers and ask yourself:

  1. have I answered the question that was asked?
  2. does my answer make sense?
  3. check your answer (e.g. differentiate/antidifferentiate an antiderivative/derivative, substitute your solution into equations, check your answer against a rough estimate, or what a picture is telling you, etc)

Student Feedback

You are invited to give your feedback on my teaching and this module here.

CA Results

Have been emailed out, with comments.

Week 12

On Monday and Tuesday we had extra tutorials: you were invited to either work on integration and/or matrices; the choice was up to you.

On Thursday we finished off the module by doing an extra example of a centre of gravity of a solid of revolution. We had tutorial time after that.

Week 13

There is an exam paper at the back of your notes — I will go through this on the board in the lecture times (in the usual venues):

  • Monday 16:00
  • Tuesday 09:00
  • Thursday 09:00

We will also have tutorial time in the tutorial slots. You can come to as many tutorials as you like.

  • Monday at 09:00 in E15
  • Monday at 17:00 in B189
  • Thursday at 12:00 in E4

Past exam papers (MATH6040 runs in Semester 1 and Semester 2) may be found here.

Recall that this module is MATH6040: Technological Maths 201 and not MATH6015: Technological Maths 2.

Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, past exam papers, etc.

Student Feedback

You are invited to give your feedback on my teaching and this module here.

Test 2 Results

Will be sent out tomorrow afternoon along with some comments.

Week 11

We had Test 2 on Monday.

On Tuesday we had a tutorial, doing some revision exercises for antidifferentiation and integration (Q. 5 should be +400 J, Q. 9 should be 3e-3).

On Thursday we looked at centres of gravity of solids of revolution.

Week 12

On Monday and Tuesday we will have extra tutorials: you will be invited to either work on integration and/or matrices; the choice will be up to you.

On Thursday we will finish off the module by doing an extra example of a centre of gravity of a solid of revolution.

Week 13

There is an exam paper at the back of your notes — I will go through this on the board in the lecture times (in the usual venues):

  • Monday 16:00
  • Tuesday 09:00
  • Thursday 09:00

We will also have tutorial time in the tutorial slots. You can come to as many tutorials as you like.

  • Monday at 09:00 in E15
  • Monday at 17:00 in B189
  • Thursday at 12:00 in E4

Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Please see the Student Resources tab on the top of this page for information on past exam papers, Academic Learning Centre, etc.

Test 2

The 15% Test 2 will take place at 16:00 on Monday 26 November, Week 11, in B263. There is a sample test in the notes, p.146. Chapter 3: Differentiation is going to be examined. A Summary of Differentiation (p.144): you will want to know this stuff very well. You will be given a copy of these tables

I strongly advise you that attending tutorials alone will not be sufficient preparation for this test and you will have to devote extra time outside classes to study aka do exercises.

Week 10

We looked at completing the squarework and centroids.

A good revision of integration/antidifferentiation may be found here.

Week 11

We have our test on Monday.

On Tuesday we will have a tutorial for a lecture. Those who are not strong on antidifferentiation will be given revision exercises from MATH6015.

On Thursday we will look at centres of gravity of solids of revolution.

Week 12

On Monday and Tuesday we will have extra tutorials: you will be invited to either work on integration and/or matrices; the choice will be up to you.

On Thursday we will finish off the module by doing an extra example of a centre of gravity of a solid of revolution.

Week 13

There is an exam paper at the back of your notes — I will go through this on the board in the lecture times (in the usual venues):

  • Monday 16:00
  • Tuesday 09:00
  • Thursday 09:00

We will also have tutorial time in the tutorial slots. You can come to as many tutorials as you like.

  • Monday at 09:00 in E15
  • Monday at 17:00 in B189
  • Thursday at 12:00 in E4

Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.

Test 2

The 15% Test 2 will take place at 16:00 on Monday 26 November, Week 11, in B263. There is a sample test in the notes, p.146. Chapter 3: Differentiation is going to be examined. A Summary of Differentiation (p.144): you will want to know this stuff very well. You will be given a copy of these tables

I strongly advise you that attending tutorials alone will not be sufficient preparation for this test and you will have to devote extra time outside classes to study aka do exercises.

Week 9

We looked at applications of partial differentiation to differentials and error analysis. We started Chapter 4 on (Further) Integration by looking at Integration by Parts.

A good revision of integration/antidifferentiation may be found here.

Week 10

We will look at completing the square and work.

Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.

Test 2

The 15% Test 2 will take place at 16:00 on Monday 26 October, Week 11, in B263. There is a sample test in the notes, p.146. Chapter 3: Differentiation is going to be examined. A Summary of Vectors (p.144): you will want to know this stuff very well. You will be given a copy of these tables

I strongly advise you that attending tutorials alone will not be sufficient preparation for this test and you will have to devote extra time outside classes to study aka do exercises.

Week 8

We looked at Implicit Differentiation and Partial Differentiation. If you are interested in a very “mathsy” approach to curves you can look at this.

Week 9

We will look at applications of partial differentiation to differentials and error analysis. We might start Chapter 4 on (Further) Integration. A good revision of integration/antidifferentiation may be found here.

Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.

This strategy is by no means optimal nor exhaustive. It is for students who are struggling with basic integration and anti-differentiation and need something to help them start calculating straightforward integrals and finding anti-derivatives. 

TL;DR: The strategy to antidifferentiate a function f that I present is as follows:

  1. Direct
  2. Manipulation
  3. u-Substitution
  4. Parts

Read the rest of this entry »

Week 7

We looked at Parametric Differentiation and Related Rates

Week 8

We will look at Implicit Differentiation and Partial Differentiation. If you are interested in a very “mathsy” approach to curves you can look at this.

Test 2

On Chapter 3, not until Week 11: perhaps Monday 26 November.

Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.

Test 1 Results

Have been emailed to you. I will have your scripts with me in tutorials.

Room Change

BioEng2A’s tutorial on Thursdays has been moved to E4.

Reading Break, etc.

Classes will be going full steam ahead on Monday and Tuesday 22/23 October as well as Thursday 1 November. I will class the next two weeks by Week 7.

Week 6

We finished Chapter 2 by looking at Cramer’s Rule and then we started Chapter 3 with a quick review of differentiation and linear operators.

I actually have videos from last year if you missed some classes from Week 6:

Week 7

Over 22 October – 2 November we have three lectures and one tutorial each, as normal.

We will start looking at Parametric Differentiation and then look at related rates.

Test 2

On Chapter 3, not until Week 11 or early Week 12.

Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.

The Lee Fields Medal — CIT Maths Challenge

Maths Competition on next Wednesday with cash prizes. Poster below.

posterimage.jpg

Week 5

We looked at linear systemsdeterminants, and Cramer’s Rule.

Week 6

We will finish looking at Cramer’s Rule and then we will start Chapter 3 with a quick review of differentiation followed by looking at Parametric Differentiation.

Test 1

The 15% Test 1 will take place at 16:00 on Monday 15 October, Week 6, in B263. There is a sample test in the notes, p.44. Chapter 1: Vectors is going to be examined. A Summary of Vectors (p.40): you will want to know this stuff very well.

Test 2

On Chapter 3, not until Week 11 or early Week 12.

Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

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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