J.P. McCarthy: Math Page

Week 4

In Week 4 we finished Chapter 1 by looking more at relations and their properties. We started our study of Chapter 2: Functions. A function is a special type of relation.

Week 5

In Week 5 we will continue our study of functions and their properties.

Test 1

Test 1, worth 15% of your final grade, will take place in the usual D160 lecture venue at 10:00 on Tuesday 16 October. I will email a sample paper in the next week. The names of Laws of Sets on the sample is the same as how they will be named on the final exam.

Test 1 will cover the contents of Chapter 1 and the sample will give an idea of the layout and length of the test. The following types of questions are examinable:

• P.20, Q. 1, 3 [note is a typo: it should be ], 4, 6-7, 9, 13-14
• P.26, Q. 1-4
• P.30, Q. 2
• P. 36, Q.1-3

Questions like those exercises not listed here will not appear on your exam paper but are still useful to help your learning and understanding. For example, working with truth tables should help your understanding of the Laws of Sets.

I have also sent on some additional exercises on equivalence relations via email.

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Week 4

In Week 4 we started looking in particular at simply supported beams.

Week 5

In Week 5 we will look at more examples of simply supported beams before moving onto fixed-end beams.

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Your timetable is wrong in the naming of this module. MATH6040 is Technological Maths 201 and not Technological Maths 2. You did Technological Maths 2: MATH6015, last year.

Week 4

We finished looking at the applications of vectors to work and moments and began Chapter 2: Matrices. We did some examples of matrix arithmetic and looked at Matrix Inverses — “dividing” for Matrices. This will allow us to solve matrix equations. Here find a note that answers the question: why do we multiply matrices like we do?

Week 5

We will look at linear systems, and determinants.

Test 1

The 15% Test 1 will take place at 16:00 on 15 October, Week 6, in B263. There is a sample test in the notes. Chapter 1: Vectors is going to be examined.

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.

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 3

We looked at the Laws of Sets and moved onto Cartesian Products and Relations.

Week 4

In Week 4 we will finish Chapter 1 by looking more at relations and their properties. We will start our study of Chapter 2: Functions. A function is a special type of relation.

Test 1

Test 1, worth 15% of your final grade, will take place in the usual D160 lecture venue at 10:00 on Tuesday 16 October. I will email a sample paper in the next week.

Test 1 will cover the contents of Chapter 1 and the sample will give an idea of the layout and length of the test. The following types of questions are examinable:

• P.20, Q. 1, 3 [note is a typo: it should be ], 4, 6-7, 9, 13-14
• P.26, Q. 1-4
• P.30, Q. 2
• P. 36, Q.1-3

Questions like those exercises not listed here will not appear on your exam paper but are still useful to help your learning and understanding. For example, working with truth tables should help your understanding of the Laws of Sets.

Read the rest of this entry »

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 3

In Week 3 we finished Curve Fitting and started the second chapter on Differential Equations — with a particular emphasis on Beam Equations.

Week 4

In Week 4 we will start looking in particular at simply supported beams.

Read the rest of this entry »

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

If you haven’t got your manual yet please get it ASAP.

Week 3

We started working with the cross product and began to look at the applications of vectors to work. and moments.

Week 4

We will finish looking at the applications of vectors to work and moments and perhaps begin Chapter 2: Matrices.

Test 1

The 15% Test 1 will take place at 16:00 on 15 October, Week 6, in B263. There is a sample test in the notes. Chapter 1: Vectors is going to be examined.

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.

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 looked more at sets and set identities and looked at truth tables.

Week 3

In Week 3 we will look at the Laws of Sets and move onto Cartesian Products and Relations.

Tutorials

Are now running as per your timetable. COMP1C-Y’s tutorial is now on in B143 rather than B225.

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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

If you haven’t got your manual yet please get it ASAP.

Tutorials

Are now running as per your timetable.

Week 2

We introduced Lagrange Interpolation and Least Squares curve fitting.

Week 3

We will speak briefly about the Pearson correlation coefficient, and will begin talking about fitting curves/models that aren’t of the form

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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

If you haven’t got your manual yet please get it ASAP.

Tutorials

Are now running as per your timetable.

Week 2

We looked at how to both visualise vectors and describe them algebraically. We learned how to find the magnitude  and direction of a vector, and add them and scalar multiply them. We spoke about displacement vectors and introduced the vector product known as the dot product.

Week 3

We will start working with the vector product and begin to look at the applications of vectors to work and moments.

Test 1

The test will probably be the Monday of 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.

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.

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 1

We had one lecture and after listening to me go on about the importance of mathematics to your programme we started the first chapter on Sets and Relations. We saw something new with the concept of the power set of a set.

Week 2

In Week 2 we will look more at sets and set identities, and explore Cartesian Products and perhaps introduce relations.

Tutorials

Tutorials start properly in Week 2.

• COMP1C-X: Tuesday at 15:00 in B241L
• COMP1C-Y: Wednesday at 12:00 in B225

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