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 priced at around €14 and are available in the Reprographic Centre. You will need these notes for Monday.

## Week 1

In week one we spoke about the questions that the derivative and the definite integral were originally formulated to answer. Namely how do we find the tangent to a curve and how do we find the area of ‘curvy’ region.

## Week 2

In Week 2 we will look at calculating some derivatives.

## Tutorials

Tutorials start properly this week:

• Tuesday 13:00 in B145
• Friday 09:00 in B185

We will discuss the split on Monday.

## Continuous Assessment

As can be seen here in the Module Descriptor, there will be two 15% tests: one in Week 5 and one in Week 10. I hope to give you two week’s notice of each and there are sample tests in the notes.

## Quick Test: Academic Learning Centre

I would urge anyone having any problems with material that isn’t being addressed in the tutorials to use the Academic Learning Centre. As you can see the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.

When I get the Quick Tests corrected I will be advising some of ye to go to the ALC for specific help.

## Study

Please feel free to ask me questions about the exercises via email or even better on this webpage — especially those of us who struggled in the test.

## Math.Stack Exchange

If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly. For example this question about tangents to curves.

## Maple Online & Wolfram Alpha

If you are subscribed to CIT MathsOnline you will have free access to the mathematical software package Maple:

Self-enrolment for Maths Online

2.           Click on the Courses tab button at the top of the screen. Go to Course Search and type Maths Online in the box.

3.           Once you’ve found the course, click on the action link button next to the course and click on Enrol. This should take you to the Self Enrolment page.

4.           Your Access Code is mathsonline (lower case, no spaces).

5.           After you’ve finished click Submit. You should now see a message that says your enrolment was successful.

Once you’ve enrolled, you can download Maple by selecting the Mathematical Software tab in the left hand column and following the instructions under the Maple item.

I myself am not a Maple expert but ‘grew up’ with another mathematical software package MathematicaMathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!

## Calculators

Although Assessment 1 is to be taken without the use of calculators, subsequent assessments will have no such ban. Please note the following taken from the CIT code of conduct for CIT examination candidates:

Where a pocket calculator is used it must be silent, self-powered and non-programmable.

It may not be passed from one candidate to another. Instructions for its use may not be
brought into the Examination Hall.
The term ‘programmable’ includes any calculator that is capable of storing a sequence of
keystrokes that can be retrieved after the calculator is turned off or powers itself off. Note that the
capacity to recall, edit and replay previously executed calculations does not render a calculator
programmable, provided that this replay memory is automatically cleared when the calculator is
powered off. Also, the facility to store numbers in one or more memory locations does not render
a calculator programmable.
Calculators with any of the following mathematical features are prohibited:
• Graph plotting
• Equation solving
• Symbolic algebraic manipulation
• Numerical integration
• Numerical differentiation
• Matrix calculations
Calculators with any of the following features are prohibited
• Data Banks
• Dictionaries
• Language translators
• Text retrieval
• Capability of remote communication

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 priced at €14 and are available in the Reprographic Centre. You will need these notes for Monday.

## Week 1

We studied basic arithmetic, in particular we looked at the various number systems, fractions and decimals.

## Week 2

In Week 2 we will look at Ratio & Proportion, Percentages and Tax & Interest.

## Tutorials

Tutorials start properly in Week 1:

• Group A with Mr. Adrian O’Connor: Wednesday 09:00 in B187 and Thursday 19:00 in B185
• Group B with myself: Monday 12:00 in F1. 3 and Thursday 12:00 in B165

## Assessment 1

Assessment 1 will be on in Week 4. Keep an eye on your CIT Blackboard for the latest and definitive assessment information.

I would urge anyone having any problems with material that isn’t being addressed in the tutorials to use the Academic Learning Centre. As you can see the timetable is quite generous. 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.

## Math.Stack Exchange

If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly. For example this question regarding infinite decimals.

## Maple Online & Wolfram Alpha

If you are subscribed to CIT MathsOnline you will have free access to the mathematical software package Maple:

Self-enrolment for Maths Online

2.           Click on the Courses tab button at the top of the screen. Go to Course Search and type Maths Online in the box.

3.           Once you’ve found the course, click on the action link button next to the course and click on Enrol. This should take you to the Self Enrolment page.

4.           Your Access Code is mathsonline (lower case, no spaces).

5.           After you’ve finished click Submit. You should now see a message that says your enrolment was successful.

Once you’ve enrolled, you can download Maple by selecting the Mathematical Software tab in the left hand column and following the instructions under the Maple item.

I myself am not a Maple expert but ‘grew up’ with another mathematical software package MathematicaMathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!

## Calculators

Although Assessment 1 is to be taken without the use of calculators, subsequent assessments will have no such ban. Please note the following taken from the CIT code of conduct for CIT examination candidates:

Where a pocket calculator is used it must be silent, self-powered and non-programmable.

It may not be passed from one candidate to another. Instructions for its use may not be
brought into the Examination Hall.
The term ‘programmable’ includes any calculator that is capable of storing a sequence of
keystrokes that can be retrieved after the calculator is turned off or powers itself off. Note that the
capacity to recall, edit and replay previously executed calculations does not render a calculator
programmable, provided that this replay memory is automatically cleared when the calculator is
powered off. Also, the facility to store numbers in one or more memory locations does not render
a calculator programmable.
Calculators with any of the following mathematical features are prohibited:
• Graph plotting
• Equation solving
• Symbolic algebraic manipulation
• Numerical integration
• Numerical differentiation
• Matrix calculations
Calculators with any of the following features are prohibited
• Data Banks
• Dictionaries
• Language translators
• Text retrieval
• Capability of remote communication

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.

## Repeat Students — particularly EXAM ONLY

There have been some changes made to MATH7019

- Second Order Linear Ordinary Differential Equations have been moved to MATH7021 and are no longer studied in MATH7019

- The chapter on Curve Fitting from MATH7021 has been introduced into MATH7019 however forward difference methods have been dropped altogether. The correlation coefficient has been added to this chapter. This material is being done first and will be completed by or in Week 3.

– Cantilevers have been added to the section on beam equations

– Regarding the chapter on Further Calculus, reviews of calculus topics have been spread out throughout the module

- No change to the chapter on Statistics

To find out the exact syllabus please consult the module descriptor.

## Manuals

The manuals are not yet completed as far as I know. They will be priced at around €14 and will be available in the Reprographic Centre.

## Week 1

In week one we spoke in general terms about curve fitting. We introduced Lagrange Interpolation and started talking about Least Squares curve fitting.

## Week 2

In Week 2 we will finish talking about Least Squares Curve Fitting.

## Tutorials

Tutorials start properly next week. Friday at 10 am in B240.

## Quick Test: Academic Learning Centre

I would urge anyone having any problems with material that isn’t being addressed in the tutorials to use the Academic Learning Centre. As you can see the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.

When I get the Quick Tests corrected I will be advising some of ye to go to the ALC for specific help.

## Assessment 1

Assessment 1 will have a hand-in date of October 17. Expect to see the assignment late in Week 2 or early in Week 3.

## Study

Please feel free to ask me questions about the exercises via email or even better on this webpage — especially those of us who struggled in the test.

## Math.Stack Exchange

If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly. For example this question about why we do least squares.

## Maple Online & Wolfram Alpha

If you are subscribed to CIT MathsOnline you will have free access to the mathematical software package Maple:

Self-enrolment for Maths Online

2.           Click on the Courses tab button at the top of the screen. Go to Course Search and type Maths Online in the box.

3.           Once you’ve found the course, click on the action link button next to the course and click on Enrol. This should take you to the Self Enrolment page.

4.           Your Access Code is mathsonline (lower case, no spaces).

5.           After you’ve finished click Submit. You should now see a message that says your enrolment was successful.

Once you’ve enrolled, you can download Maple by selecting the Mathematical Software tab in the left hand column and following the instructions under the Maple item.

I myself am not a Maple expert but ‘grew up’ with another mathematical software package MathematicaMathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!

If you look in the module descriptor, you will see there is some suggested reading. Of course I think my notes are perfect but if you can look here, search for ‘glyn advanced modern engineering math’ you will see that the library have an E-Book resource.

## Calculators

Please note the following taken from the CIT code of conduct for CIT examination candidates:

Where a pocket calculator is used it must be silent, self-powered and non-programmable.

It may not be passed from one candidate to another. Instructions for its use may not be
brought into the Examination Hall.
The term ‘programmable’ includes any calculator that is capable of storing a sequence of
keystrokes that can be retrieved after the calculator is turned off or powers itself off. Note that the
capacity to recall, edit and replay previously executed calculations does not render a calculator
programmable, provided that this replay memory is automatically cleared when the calculator is
powered off. Also, the facility to store numbers in one or more memory locations does not render
a calculator programmable.
Calculators with any of the following mathematical features are prohibited:
• Graph plotting
• Equation solving
• Symbolic algebraic manipulation
• Numerical integration
• Numerical differentiation
• Matrix calculations
Calculators with any of the following features are prohibited
• Data Banks
• Dictionaries
• Language translators
• Text retrieval
• Capability of remote communication

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.

## Week 12

We finished the section on integrals related to the inverse trigonometric functions. We revisited work and then spoke about centroids of laminas and centres of gravity of volumes of revolution.

## Week 13

I will be available to any and all students at the following times and venues:

• Review Lecture Tuesday 15:00 B260
• Review Lecture Wednesday 11:00 B214
• Review Lecture Thursday 11:00 B260
• Review Tutorial Friday 11:00 B260
• Review Tutorial Friday 13:00 B245

The Review Lectures will be conducted as follows

1. Students can ask any question and I will answer it on the whiteboard. If we run out of questions
2. I will start going through the Winter 2013 paper (which was given out in class). If we finish this paper
3. I will help ye one to one.

The Review Tutorials will be conducted as follows

1. Students can ask any question and I will answer it on the whiteboard. If we run out of questions
2. I will help ye one to one. You can work on whatever you want but I will be recommending a centroids and centres of gravity.

For your study, I would strongly recommend that you attempt this paper before the review lectures. This is your best chance of seeing how you stand.

## Exam Format

Four questions, do all as in the Winter 2013 paper which can be found by searching through Mathematics.

Those in danger of failing need to use the Academic Learning Centre. As you can see from the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.

## Math.Stack Exchange

If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly.

If you look in the module descriptor, you will see there is some suggested reading. Of course I think my notes are perfect but if you can look here, search for ‘Bird Higher Engineering’ you will see that the library have an E-Book resource.

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.

## Week 12

In the tutorial ye tried to do a line integral but I don’t know how ye got on as I was showing ye your tests. We finished off double integrals and triple integrals and we spent one class looking at systems of differential equations.

## Week 13

I will be available at the following times and venues:

• Review Tutorial Tuesday 13:00 A123L (for those who are missing out on their Monday tutorial)
• Review Tutorial Tuesday 14:00 A123L (for the rest of ye)
• Review Lecture Wednesday 12:00 B228
• Review Lecture Wednesday 14:00 B212
• Review Lecture Thursday 10:00 B228

The Review Lectures will be conducted as follows

1. Students can ask any question and I will answer it on the whiteboard. If we run out of questions
2. I will start going through a combination of the sample and the Autumn 2013 paper (which were given out in class). If we finish this ‘paper’
3. I will help ye one to one.

The Review Tutorials will be conducted as follows

1. Students can ask any question and I will answer it on the whiteboard. If we run out of questions
2. I will help ye one to one. You can work on whatever you want but I will be recommending a triple integral.

For your study, I would strongly recommend that you attempt these papers before the review lectures. This is your best chance of seeing how you stand.

## Exam Format

Five questions do four:

Q. 1 — a question on each chapter.

Q. 2 — questions on chapter 1

Q. 3 — questions on chapter 2

Q. 4 — questions on chapter 3

Q. 5 — questions on chapter 4

As in this sample.

Those in danger of failing need to use the Academic Learning Centre. As you can see from the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.

## Math.Stack Exchange

If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly.

If you look in the module descriptor, you will see there is some suggested reading. Of course I think my notes are perfect but if you can look here, search for ‘glyn advanced modern engineering math’ you will see that the library have an E-Book resource.

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.

## Linear Algebra — Test Solutions

More comments on Linear Algebra next week but until then here are the solutions to the test.

## Week 12

We spoke about sampling in more detail and also introduced control charts.

## Week 13

We will hold a review class on Wednesday 7 May in the usual room. First off, the layout of your exam is the same as Autumn 2013: do question one worth 50/100 and two out of questions two, three, four; each worth 25/100.

I will field any questions ye might have at this time and if there are no questions we will do this exam paper. The best possible thing for your study is to do this exam paper and then on Wednesday see how you got on.

## Formulae to Learn?

I spoke about asking Dr. Michael Brennan about putting the confidence interval formula on the exam paper… I just realised this is moot as the exams have already gone for printing. Therefore there are two formulae you will need to know.

The first is the confidence interval for small samples (here I give three presentations):

$\bar{x}\pm t\frac{\sigma}{\sqrt{n}}$

$\bar{x}-t\frac{\sigma}{\sqrt{n}}\leq \mu\leq \bar{x}+t\frac{\sigma}{\sqrt{n}}$

$\left[\bar{x}-t\frac{\sigma}{\sqrt{n}},\bar{x}+t\frac{\sigma}{\sqrt{n}}\right]$

Here $\bar{x}$ is the sample mean, $n$ is the sample size, $t$ is a number of standard deviations, read from a table, depending on $n-1$ and the level of uncertainty. $\sigma$ is the population standard deviation which we approximate using the sample standard deviation, $\sigma\approx s$. Finally $\mu$ is the population mean, the number we are trying to get a handle on.

The second set of formulae are like confidence intervals for the control charts aka the inner and outer control limits (ICL & OCL). These should be considered versions of the above formula and I will display them as such… the $A_i$ depends on the level of uncertainty and the sample size, and plays the role of $\frac{t}{\sqrt{n}}$, while the mean range, $\bar{w}$, is a measure of the spread\deviation of the data, and plays the role of $\sigma$. The role of $\bar{x}$ is played by $\bar{\bar{x}}$ — the grand mean:

ICL: $\bar{\bar{x}}\pm A_{0.025}\bar{w}$,

OCL: $\bar{\bar{x}}\pm A_{0.001}\bar{w}$

ICL: $\bar{\bar{x}}- A_{0.025}\bar{w}\leq \bar{x}\leq \bar{\bar{x}}+ A_{0.025}\bar{w}$,

OCL: $\bar{\bar{x}}- A_{0.001}\bar{w}\leq \bar{x}\leq \bar{\bar{x}}+ A_{0.001}\bar{w}$

ICL: $[\bar{\bar{x}}- A_{0.025}\bar{w}, \bar{\bar{x}}+ A_{0.025}\bar{w}]$,

OCL: $[\bar{\bar{x}}- A_{0.001}\bar{w}, \bar{\bar{x}}+ A_{0.001}\bar{w}]$

Here $\bar{\bar{x}}$ is the grand mean — that is the mean of all the data — which may conveniently be calculated as the mean of the sample means. The $A_{i}$ are numbers read from a table, depending on the sample size $n$$\bar{w}$ is the mean range — the mean of the sample ranges. Finally $\bar{x}$ is a sample mean.

The smaller numbers are the lower limits and the larger numbers are the upper limits.

## Independent Learning: Exercices

You are supposed to be working outside of class and I am supposed to help you with this. Working outside of class means doing the exercises in the notes. Any work that is handed up will be corrected by me. Also you can ask me a question here on this site and I will answer it ASAP.

Questions that you can do at this point include:

• P. 130 Q. 1-13
• P.139, Q. 1-7, particularly Q. 1

I wouldn’t necessarily advise looking at ALL of these questions: I would focus on the exam questions over the other questions.

Those in danger of failing need to use the Academic Learning Centre. As you can see from the timetable there is evening support. You will get best results if you come to the helpers there with specific questions.

## Math.Stack Exchange

If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly.

If you look in the module descriptor, you will see there is some suggested reading. Of course I think my notes are perfect but if you can look here, search for ‘Bird Higher Engineering’ you will see that the library have an E-Book resource.

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.

Results Pending…

## Week 11

We will have our test and then we will continue looking at these integrals related to the inverse trig functions… some of which will require us to complete the square. We might also revisit work.

## Week 12

We will finish the section on integrals related to the inverse trigonometric functions. We will revisit work and then talk about centroids of laminas and centres of gravity of volumes of revolution. One lecture might have to spill into Week 13 due to my illness on the Week 10 Tuesday afternoon.

## Exam Format

Four questions, do all as in the Winter 2013 paper which can be found by searching through Mathematics here.

Those in danger of failing need to use the Academic Learning Centre. As you can see from the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.

## Math.Stack Exchange

If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly.

## Maple Online & Wolfram Alpha

If you are subscribed to CIT MathsOnline you will have free access to the mathematical software package Maple:

Self-enrolment for Maths Online

2.           Click on the Courses tab button at the top of the screen. Go to Course Search and type Maths Online in the box.

3.           Once you’ve found the course, click the non-credit-course button and click on Enrol. This should take you to the Self Enrolment page.

4.           Your Access Code is mathsonline (lower case, no spaces).

5.           After you’ve finished click Submit. You should now see a message that says your enrolment was successful.

Once you’ve enrolled, no go back to the Blackboard home page and click on the Maths Online button: it should be under an Academic Learning Support Tab. You can download Maple by selecting the Mathematical Software tab in the left hand column and following the instructions under the Maple item. Click Maple text to start.

I myself am not a Maple expert but ‘grew up’ with another mathematical software package MathematicaMathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!

If you look in the module descriptor, you will see there is some suggested reading. Of course I think my notes are perfect but if you can look here, search for ‘Bird Higher Engineering’ you will see that the library have an E-Book resource.

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.

## Week 11

In the tutorial we did some last minute revision for the test. We continued working with double integrals and their applications.

## Week 12

In the tutorial ye can try your hand at a line integral and a double integral. We will finish off double integrals and triple integrals and we will spend one class looking at systems of differential equations.

## Week 13

We will have five classes at the usual times and in the usual venues. We will start by going through the sample paper. I would urge you very strongly to try this paper out over the Easter break.

When this is finished I will take questions and after that I will help one-to-one.

## Exam Format

Five questions do four:

Q. 1 — a question on each chapter.

Q. 2 — questions on chapter 1

Q. 3 — questions on chapter 2

Q. 4 — questions on chapter 3

Q. 5 — questions on chapter 4

As in this sample.

Those in danger of failing need to use the Academic Learning Centre. As you can see from the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.

## Math.Stack Exchange

If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly.

## Maple Online & Wolfram Alpha

If you are subscribed to CIT MathsOnline you will have free access to the mathematical software package Maple:

Self-enrolment for Maths Online

2.           Click on the Courses tab button at the top of the screen. Go to Course Search and type Maths Online in the box.

3.           Once you’ve found the course, click the non-credit-course button and click on Enrol. This should take you to the Self Enrolment page.

4.           Your Access Code is mathsonline (lower case, no spaces).

5.           After you’ve finished click Submit. You should now see a message that says your enrolment was successful.

Once you’ve enrolled, no go back to the Blackboard home page and click on the Maths Online button: it should be under an Academic Learning Support Tab. You can download Maple by selecting the Mathematical Software tab in the left hand column and following the instructions under the Maple item. Click Maple text to start.

I myself am not a Maple expert but ‘grew up’ with another mathematical software package MathematicaMathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!

If you look in the module descriptor, you will see there is some suggested reading. Of course I think my notes are perfect but if you can look here, search for ‘glyn advanced modern engineering math’ you will see that the library have an E-Book resource.

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.

## Week 11

We looked at the normal distribution in more detail and talked about sampling.

## Week 12

We will talk about sampling in more details and also introduce control charts.

## Independent Learning: Exercices

You are supposed to be working outside of class and I am supposed to help you with this. Working outside of class means doing the exercises in the notes. Any work that is handed up will be corrected by me. Also you can ask me a question here on this site and I will answer it ASAP.

Questions that you can do at this point include:

• P. 125 Q. 1-21, particularly Q. 5-10

I wouldn’t necessarily advise looking at ALL of these questions: I would focus on the exam questions over the other questions.

Those in danger of failing need to use the Academic Learning Centre. As you can see from the timetable there is evening support. You will get best results if you come to the helpers there with specific questions.

## Math.Stack Exchange

If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly.

If you look in the module descriptor, you will see there is some suggested reading. Of course I think my notes are perfect but if you can look here, search for ‘Bird Higher Engineering’ you will see that the library have an E-Book resource.

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 test will be on this Tuesday 8 April February at 11:00 in B214. Ye have the test that I gave last year in the notes.

## Week 10

We started the new chapter by looking at integration by parts and integrations related to the inverse trigonometric functions.

## Week 11

We will have our test and then we will continue looking at these integrals related to the inverse trig functions… some of which will require us to complete the square. We might also revisit work.

## Exam Format

Four questions, do all as in the Winter 2013 paper which can be found by searching through Mathematics here.

Those in danger of failing need to use the Academic Learning Centre. As you can see from the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.

## Math.Stack Exchange

If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly.

## Maple Online & Wolfram Alpha

If you are subscribed to CIT MathsOnline you will have free access to the mathematical software package Maple:

Self-enrolment for Maths Online

2.           Click on the Courses tab button at the top of the screen. Go to Course Search and type Maths Online in the box.

3.           Once you’ve found the course, click the non-credit-course button and click on Enrol. This should take you to the Self Enrolment page.

4.           Your Access Code is mathsonline (lower case, no spaces).

5.           After you’ve finished click Submit. You should now see a message that says your enrolment was successful.

Once you’ve enrolled, no go back to the Blackboard home page and click on the Maths Online button: it should be under an Academic Learning Support Tab. You can download Maple by selecting the Mathematical Software tab in the left hand column and following the instructions under the Maple item. Click Maple text to start.

I myself am not a Maple expert but ‘grew up’ with another mathematical software package MathematicaMathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!