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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.
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.
Academic Learning Centre
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
1. Log into Blackboard Learn
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 Mathematica. Mathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!
Additional Notes: E-Books
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 9
We finished up doing partial differentiation in the abstract and applied it to error analysis. Finally we looked at one big application of the Chain Rule: Related Rates.
Week 10
We will start the new chapter by looking at integration by parts.
Test 2
The second test will be on in Week 11. That is Tuesday 8 April February at 11:00 in B214. Ye have the test that I gave last year in the notes.
Exam Format
Four questions, do all as in the Winter 2013 paper which can be found by searching through Mathematics here.
Academic Learning Centre
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
1. Log into Blackboard Learn
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 Mathematica. Mathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!
Additional Notes: E-Books
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 8
We finished looking at implicit curves and then we looked at partial derivatives.
Week 9
We will finish up doing partial differentiation in the abstract an apply it to error analysis. Finally we look at one big application of the Chain Rule: Related Rates.
Test 2
The second test will be on in Week 11. That is Tuesday 8 April February at 11:00 in B214. Ye have the test that I gave last year in the notes.
Exam Format
Four questions, do all as in the Winter 2013 paper which can be found by searching through Mathematics here.
Academic Learning Centre
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
1. Log into Blackboard Learn
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 Mathematica. Mathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!
Additional Notes: E-Books
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 7
We studied curves more complicated than those of the graph of a function: namely parametric curves and implicit curves.
Week 8
We will continue to look at implicit curves and then we will look at surfaces.
Test 2
The second test will be on in Week 11. That is Tuesday 8 April February at 11:00 in B214. Ye have the test that I gave last year in the notes.
Exam Format
Four questions, do all as in the Winter 2013 paper which can be found by searching through Mathematics here.
Academic Learning Centre
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. For example this question about writing implicit curves as parametric 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
1. Log into Blackboard Learn
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 Mathematica. Mathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!
Additional Notes: E-Books
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 6
We finished our of vectors by looking at the application to work and moments. We also did a review of MATH6015 differentiation.
Week 7
We will study curves more complicated than those of the graph of a function: namely parametric curves and implicit curves.
Test 2
The second test will be on in Week 11. That is Tuesday 8 April February at 11:00 in B214. Ye have the test that I gave last year in the notes.
Exam Format
Four questions, do all as in the Winter 2013 paper which can be found by searching through Mathematics here.
Academic Learning Centre
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. For example this question about understanding the dot and cross product.
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
1. Log into Blackboard Learn
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 Mathematica. Mathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!
Additional Notes: E-Books
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 5
We continued working with the dot product and then introduced the cross product.
Week 6
We will study the application of vectors to work and moments.
Test 2
The second test will be on in Week 11. That is Tuesday 8 April February at 11:00 in B214. Ye have the test that I gave last year in the notes.
Exam Format
Four questions, do all as in the Winter 2013 paper which can be found by searching through Mathematics here.
Academic Learning Centre
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. For example this question about generalising the vector product to more than three dimensions.
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
1. Log into Blackboard Learn
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 Mathematica. Mathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!
Additional Notes: E-Books
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 1
The test will be on the first Tuesday slot of Week 5. That is Tuesday 25 February at 11:00 in B214. Ye have the test that I gave last year in the notes.
Week 4
In Week 4 we began our study of Chapter 2, Vector Algebra. We looked at how to both visualise vectors and describe them algebraically. We learned how to find the magnitude of a vector, add them and scalar multiply them. We spoke about displacement vectors and introduced the vector product known as the dot product.
Week 5
In Week 5 we will continue working with the dot product and then introduce the cross product.
Tutorials
If you have the 09:00 Lab on Fridays your tutorial will be
- Friday 11:00 in B260
Otherwise your tutorial will be
- Friday 13:00 in B245
Exam Format
Four questions, do all as in the Winter 2013 paper which can be found by searching through Mathematics here.
Academic Learning Centre
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. For example this sensational answer which explains why we multiply matrices like we do.
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
1. Log into Blackboard Learn
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 Mathematica. Mathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!
Additional Notes: E-Books
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.
Important: Gaussian Elimination
Please look at p.26 Questions 1 & 2 and p.35 Questions (iv), (v) and (vi) only. The other ones are just too messy.
Also if you download Maple (see below), there is a Maple Tutor that is easy to use and will help you. Open up Maple and go to Tools -> Tutors ->Linear Algebra -> Maple Inverses.
Test 1
The test will be on the first Tuesday slot of Week 5. That is Tuesday 25 February at 11:00 in B214. Ye have the test that I gave last year in the notes.
Week 3
We solved some 3×3 linear systems using the techniques of Week 2. We spoke about the determinant of a matrix and covered Cramer’s Rule. This concluded Chapter One.
Week 4
In Week 4 we will begin our study of Chapter 2, Vector Algebra. We will initially take a dual algebraic/geometric viewpoint.
Tutorials
If you have the 09:00 Lab on Fridays your tutorial will be
- Friday 11:00 in B260
Otherwise your tutorial will be
- Friday 13:00 in B245
Exam Format
Four questions, do all as in the Winter 2013 paper which can be found by searching through Mathematics here.
Academic Learning Centre
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. For example this answer which explains the significance of the determinant.
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
1. Log into Blackboard Learn
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 Mathematica. Mathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!
Additional Notes: E-Books
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 2
We learned how to find the inverse of a 3×3 matrix using Gaussian Elimination and how to solve matrix equations. We saw that simultaneous equations can be written as a matrix equation and we learnt how to solve these.
Week 3
We will solve some 3×3 linear systems using the techniques of Week 2. We will talk about the determinant of a matrix and perhaps talk about Cramer’s Rule.
Test 1
Provisionally I am looking at Week 5. Ye will get a sample test (format only) and notice two weeks in advance.
Tutorials
If you have the 09:00 Lab on Fridays your tutorial will be
- Friday 11:00 in B260
Otherwise your tutorial will be
- Friday 13:00 in B245
Exam Format
Four questions, do all as in the Winter 2013 paper which can be found by searching through Mathematics here.
Academic Learning Centre
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. For example this question which goes into some of the background theory of what we are doing.
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
1. Log into Blackboard Learn
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 Mathematica. Mathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!
Additional Notes: E-Books
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.
Manuals
Please get your manual ASAP from the Copy Centre. They are priced at E12.
Week 1
After introductions, we looked at matrices and we introduced the idea of a matrix inverse.
Week 2
We will learn how to find the inverse of a 3×3 matrix using Gaussian Elimination.
Test 1
Provisionally I am looking at Week 5. Ye will get a sample test (format only) and notice two weeks in advance.
Exam Format
Four questions, do all as in the Winter 2013 paper.
Academic Learning Centre
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. For example this question which asks why do we define matrix multiplication like we do.
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
1. Log into Blackboard Learn
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 Mathematica. Mathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!
Additional Notes: E-Books
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.
J.P. McCarthy: Math Page 
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