Category Archive

You are currently browsing the category archive for the ‘MATH6004’ category.

MATH6004: Spring 2023, Week 8

March 15, 2023 in MATH6004 | Leave a comment

COMP1B-Y tutorial in Week 8

In Week 8, Thursday March 16, the COMP1B-Y tutorial will be held at 10:00 in A243L rather than 11:00 in C128.

Quiz 3

We will have Quiz 3 20 March at 3 pm in the usual lecture venue. It will be based on argument and inference.

Week 8

I was sick for Monday’s lecture. We will catch up on this in time.

We spent the Tuesday and Wednesday lectures, and the tutorial, on argument and inference.

Argument and inference is difficult: and we will be spending all week trying to get a better handle on it.

Week 9

We will have Quiz 3 20 March at 3 pm in the usual lecture venue. It will be based on argument and inference.

Argument and inference is difficult: and we will be spending all week trying to get a better handle on it.

Academic Learning Centre

Have you heard about Maths Online on Canvas? It’s full of helpful Maths and Stats resources, notes, quizzes and videos to help you throughout the whole year.

We also use the Maths Online module on Canvas to offer Maths and Stats support to you and answer as many student questions as possible.

Please log on to Maths online to book a maths appointment, book a place in a supported maths study session or request a workshop Links to an external site..

If you have any other question about our Maths and Stats supports email us on Academic.Learning@mtu.ie

Assessment

Week 3: 2.5% Quiz 1

Week 6: 2.5% Quiz 2

Week 7: 20% Test

Week 9: 2.5% Quiz 3

Week 12: 2.5% Quiz 4

Week 13: 2.5% Quiz 5

Your quiz score will be best four of five.

70% Terminal Exam

Student Resources

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

MATH6004: Spring 2023, Week 7

March 8, 2023 in MATH6004 | Leave a comment

COMP1B-Y tutorial in Week 8

In Week 8, Thursday March 16, the COMP1B-Y tutorial will be held at 10:00 in A243L rather than 11:00 in C128.

Week 7

We started talking about argument and inference. We had additional tutorial time again on Tuesday and our 20% on Wednesday evening.

Week 8

Argument and inference is difficult: and we will be spending all week trying to get a better handle on it.

Week 9

We will have Quiz 3 20 March at 3 pm in the usual lecture venue. It will be based on argument and inference.

Academic Learning Centre

Have you heard about Maths Online on Canvas? It’s full of helpful Maths and Stats resources, notes, quizzes and videos to help you throughout the whole year.

We also use the Maths Online module on Canvas to offer Maths and Stats support to you and answer as many student questions as possible.

Please log on to Maths online to book a maths appointment, book a place in a supported maths study session or request a workshop Links to an external site..

If you have any other question about our Maths and Stats supports email us on Academic.Learning@mtu.ie

Assessment

Week 3: 2.5% Quiz 1

Week 6: 2.5% Quiz 2

Week 7: 20% Test

Week 9: 2.5% Quiz 3

Week 12: 2.5% Quiz 4

Week 13: 2.5% Quiz 5

Your quiz score will be best four of five.

70% Terminal Exam

Student Resources

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

MATH6004: Spring 2023, Week 6

March 1, 2023 in MATH6004 | Leave a comment

20% Test in Week 7

There will be a 20% Test based on the material we covered in the first five weeks.

Wednesday March 8th, 6-7pm, Melbourn Hall

For those enrolled on Maths Online, there are some videos here. Please let me know if this link does not work.

Week 6

On Monday we continued working on logic, doing more examples with logical equivalence. Either simplifying compound propositions, or showing that two compound propositions are logically equivalent. On Tuesday, we had a tutorial-lecture, looking at p.41. I also gave out the following table. On Wednesday we started talking about argument and inference.

In tutorials you worked on p.41 also.

logic-tables Download

Week 7

We will do more argument and inference. We will have additional tutorial time again on Tuesday.

COMP1B-Y tutorial in Week 8

In Week 8, Thursday March 16, the COMP1B-Y tutorial will be held at 10:00 in A243L rather than 11:00 in C128.

Academic Learning Centre

Have you heard about Maths Online on Canvas? It’s full of helpful Maths and Stats resources, notes, quizzes and videos to help you throughout the whole year.

We also use the Maths Online module on Canvas to offer Maths and Stats support to you and answer as many student questions as possible.

Please log on to Maths online to book a maths appointment, book a place in a supported maths study session or request a workshop Links to an external site..

If you have any other question about our Maths and Stats supports email us on Academic.Learning@mtu.ie

Assessment

Week 3: 2.5% Quiz 1

Week 6: 2.5% Quiz 2

Week 7: 20% Test

Week 9: 2.5% Quiz 3

Week 12: 2.5% Quiz 4

70% Terminal Exam

Student Resources

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

MATH6004: Spring 2023, Week 5

February 22, 2023 in MATH6004 | Leave a comment

Quiz 2

The second 2.5% quiz will be 15.05 pm (SHARP), Monday 27 February in B217. The quiz will be projected on the screen, and you will write your answers on a sheet I hand out at the start of class.

The quiz will be bases on sections 2.1, 2.2, and 2.3. You will need to know what a proposition is, you will need to understand the basic logical connectives $\neg,\vee,\wedge$ (but not the material implication nor biconditional). You will also need to be able to complete and construct truth tables.

20% Test in Week 7

There will be a 20% Test based on the material we covered in the first five weeks.

Wednesday March 8th, 6-7pm, Melbourn Hall

Watch this space (or Canvas) for more information.

Week 5

We continued working on logic, defining the logical equivalence of compound propositions $p$ and $q$ by:

when $p\leftrightarrow q$ is a tautology, we say that $p$ and $q$ are logically equivalent, and we write $p\equiv q$

We had a whole collection of “laws of logic”, which are common logical equivalencies. Your idiot lecturer has some typos here that we will correct on Monday (after Quiz 2). Like with the laws of sets, we can use these laws of logic to simplify compound propositions. Another question type is to show that two compound propositions are logically equivalent, $p\equiv q$ . We can use these laws of logic, or show using truth tables that $p\leftrightarrow q$ is a tautology.

On Tuesday, we had a tutorial-lecture, looking at p.36. In tutorials you worked on exercises (p.36, 41).

Week 6

We will do more simplifying using laws of logic (after Quiz 2). We will have more tutorial-lecture time on Tuesday. Then we should start argument and inference on Wednesday.

COMP1B-Y tutorial in Week 8

In Week 8, Thursday March 16, the COMP1B-Y tutorial will be held at 10:00 in A243L rather than 11:00 in C128.

Academic Learning Centre

Have you heard about Maths Online on Canvas? It’s full of helpful Maths and Stats resources, notes, quizzes and videos to help you throughout the whole year.

We also use the Maths Online module on Canvas to offer Maths and Stats support to you and answer as many student questions as possible.

Please log on to Maths online to book a maths appointment, book a place in a supported maths study session or request a workshop Links to an external site..

If you have any other question about our Maths and Stats supports email us on Academic.Learning@mtu.ie

Assessment

Week 3: 2.5% Quiz 1

Week 6: 2.5% Quiz 2

Week 7: 20% Test

Week 9: 2.5% Quiz 3

Week 12: 2.5% Quiz 4

70% Terminal Exam

See Canvas for more:

Student Resources

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

MATH6004: Spring 2023, Week 4

February 16, 2023 in MATH6004 | Leave a comment

Quiz 2

I am going to try the projection of the quiz again but in B217.

The second 2.5% quiz will be 15.05 pm (SHARP), Monday 27 February in B217. The quiz will be projected on the screen, and you will write your answers on a sheet I hand out at the start of class.

Week 3

Well, Week 3 was a disaster with the cyber attack.

Week 4

We continued talking about logic. We had some extra tutorial time on Wednesday, and we will probably have this on Tuesdays in future.

This is what we have done thus far in logic:

You should know that a proposition is a statement that can be assigned a truth value: either true (T) or false (F).
Given a proposition $p$ you can form a proposition $\neg p$ , the negation, which is true whenever $p$ is NOT true.
Given propositions $p,q$ you can form the proposition $p\vee q$ , the disjunction. This is a proposition that is true when either $p$ OR $q$ (or both) are true.
Given propositions $p,q$ you can form the proposition $p\wedge q$ , the conjunction. This is a proposition that is true when both $p$ AND $q$ are true.
A truth table for a compound proposition, a proposition consisting of basic propositions $p_1,p_2,\dots,p_n$ , gives all the $2^n$ possible truth assignments of $p_1,p_2\dots,p_n$ , and the corresponding truth value of the compound proposition.
Given propositions $p,q$ you can form the proposition $p\to q$ , the material implication. Said “if $p$ then $q$ ”, or $p$ implies $q$ , it is false only if $p$ is true and $q$ is false.
Given propositions $p,q$ you can form the proposition $p\leftrightarrow q$ , the biconditional. Said “ $p$ if and only if $q$ “. It is true when the truth values of $p$ and $q$ are EQUAL.
Given a compound proposition $p$ , a proposition consisting of basic propositions $p_1,p_2,\dots,p_n$ , we say that $p$ is a tautology if it is true for all truth values of $p_1,\dots,p_n$ .Given a compound proposition $p$ , a proposition consisting of basic propositions $p_1,p_2,\dots,p_n$ , we say that $p$ is a contradiction if it is false for all truth values of $p_1,\dots,p_n$ .

Week 5

We will continue our work on logic.

Academic Learning Centre

Have you heard about Maths Online on Canvas? It’s full of helpful Maths and Stats resources, notes, quizzes and videos to help you throughout the whole year.

We also use the Maths Online module on Canvas to offer Maths and Stats support to you and answer as many student questions as possible.

Please log on to Maths online to book a maths appointment, book a place in a supported maths study session or request a workshop Links to an external site..

If you have any other question about our Maths and Stats supports email us on Academic.Learning@mtu.ie

Assessment

Week 3: 2.5% Quiz 1

Week 6: 2.5% Quiz 2

Week 7: 20% Test

Week 9: 2.5% Quiz 3

Week 12: 2.5% Quiz 4

70% Terminal Exam

See Canvas for more:

Student Resources

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

MATH6004: Spring 2023, Week 2

February 1, 2023 in MATH6004 | Leave a comment

Quiz 1

The first 2.5% quiz will be 11.05 am (SHARP), Wednesday 8 February in F1.2. The quiz will be projected on the screen, and you will write your answers on a sheet I hand out at the start of class.

The quiz will be a single question with three parts, worth 1%, 1%, and then a harder part (that will require independent thought) worth 0.5%.

It will be a 15 minute quiz, and the contents of Section 1.1 will be examined. Relevant exercises:

Supplemental Exercises, p.3, Q.1-9
Manual, p.14, Q.1-7.

Starred Exercises are harder than will be examined in the quiz.

Manuals

You need to purchase the manual. See here for details.

Week 2

In Week 2 we looked at arithmetic and geometric sequences in more detail, before going on to do some mathematical modelling using recurrence relations.

We started the chapter on logic.

Week 3

We will continue diving into logic.

Academic Learning Centre

Have you heard about Maths Online on Canvas? It’s full of helpful Maths and Stats resources, notes, quizzes and videos to help you throughout the whole year.

We also use the Maths Online module on Canvas to offer Maths and Stats support to you and answer as many student questions as possible.

Please log on to Maths online to book a maths appointment, book a place in a supported maths study session or request a workshop Links to an external site..

If you have any other question about our Maths and Stats supports email us on Academic.Learning@mtu.ie

Assessment

Week 3: 2.5% Quiz 1

Week 6: 2.5% Quiz 2

Week 7: 20% Test

Week 9: 2.5% Quiz 3

Week 12: 2.5% Quiz 4

70% Terminal Exam

See Canvas for more:

Student Resources

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

MATH6004: Spring 2023, Week 1

January 26, 2023 in MATH6004 | Leave a comment

Manuals

COMP1B are required to purchase an academic manual for MATH6004. This contains a lot of the lecture notes and exercises for the module. The lecture notes contain gaps that we fill in during class. I will have notes for you for the first week but after that you must purchase the manual: the sooner the better.

The manuals can be purchased from Reprographics\Copy Centre beside the Student Centre. Note that this is a cash-free area so you will need to put the appropriate amount of funds — €8.50 — on your student card.

I will be writing in various colours, so maybe a four colour pen would be useful.

Week 1

After first-day introductions, we started talking about sequences and sequences defined by a recurrence relation. We met a famous example, the Fibonacci sequence. We started talking about the sum of a sequence.

In tutorial we worked on recurrence relations, Q.1-9 on p.14. The following additional exercises to p.14 are important:

Q. 2 write F(1000) in terms of F(998) and F(997)
Q. 3 write C(1000) in terms of C(998) and C(997) (which includes something with just C(998))
Q. 4 write V(1000) in terms of V(998) and V(997) (which includes something with just V(998))

Week 2

In Week 2 we will look at arithmetic and geometric sequences in more detail, before going on to do some mathematical modelling using recurrence relations.

Academic Learning Centre

Have you heard about Maths Online on Canvas? It’s full of helpful Maths and Stats resources, notes, quizzes and videos to help you throughout the whole year.

We also use the Maths Online module on Canvas to offer Maths and Stats support to you and answer as many student questions as possible.

Please log on to Maths online to book a maths appointment, book a place in a supported maths study session or request a workshop Links to an external site..

If you have any other question about our Maths and Stats supports email us on Academic.Learning@mtu.ie

Assessment

See Canvas for the assessment plan and schedule. We will probably have a quiz in Week 3. Watch this space.

Student Resources

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

	J.P. McCarthy on MATH6040: Spring 2022, Week…
	J.P. McCarthy on MATH6040: Spring 2022, Week…
	J.P. McCarthy on MATH7019: Winter 2020, Week…
	J.P. McCarthy on MATH7019: Winter 2020, Week…
	A Sufficient Conditi… on Almost All Trees have Quantum…

Category Archive

COMP1B-Y tutorial in Week 8

Quiz 3

Week 8

Week 9

Academic Learning Centre

Assessment

Student Resources

Share this:

Like this:

COMP1B-Y tutorial in Week 8

Week 7

Week 8

Week 9

Academic Learning Centre

Assessment

Student Resources

Share this:

Like this:

20% Test in Week 7

Week 6

Week 7

COMP1B-Y tutorial in Week 8

Academic Learning Centre

Assessment

Student Resources

Share this:

Like this:

Quiz 2

20% Test in Week 7

Week 5

Week 6

COMP1B-Y tutorial in Week 8

Academic Learning Centre

Assessment

Student Resources

Share this:

Like this:

Quiz 2

Week 3

Week 4

Week 5

Academic Learning Centre

Assessment

Student Resources

Share this:

Like this:

Quiz 1

Manuals

Week 2

Week 3

Academic Learning Centre

Assessment

Student Resources

Share this:

Like this:

Manuals

Week 1

Week 2

Academic Learning Centre

Assessment

Student Resources

Share this:

Like this:

Recent Comments

Categories