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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. You have been sent a sample paper. The names of Laws of Sets on the sample is the same as how they will be named on the test and 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:

  • Stuff on the sample test
  • P.20, Q. 1, 3 [note \mathcal{P}(X) is a typo: it should be \mathcal{P}(U)], 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.

The Lee Fields Medal — CIT Maths Challenge

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

posterimage.jpg

Week 5

In Week 5 we continued our study of functions and their properties. We considered the composition of functions — and inverse functions. We started looking at examples of functions.

Week 6

In Week 6 we will complete our study of functions.

Read the rest of this entry »

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 \mathcal{P}(X) is a typo: it should be \mathcal{P}(U)], 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.

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

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 \mathcal{P}(X) is a typo: it should be \mathcal{P}(U)], 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 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.

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 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

Read the rest of this entry »

Student Feedback

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

Test 2

Final CA results below. Unless you excelled, you are identified by the last five digits of your student number.

CA is your total continuous assessment marks out of 30.

PP is your passing percentage: what you need on the final paper to pass.

70P is the percentage you need on the final paper for a first (70%).

AW is the number of attendance warnings: for future reference you can see the fairly strong relationship between attendance and assessment performance.

I will have the assessments with me in today and tomorrow’s tutorials and will send on the marking scheme in a few minutes.

S/N

Test 1

Test 2

CA

PP

70P

AW

O Leary Garvey

96.2

100

29.4

15.1

58.0

0

McGrath

91

98.1

28.4

16.6

59.5

0

Xie

94.9

86.5

27.2

18.3

61.1

0

Cashman

87.2

88.5

26.4

19.5

62.4

1

62916

94.9

78.8

26.1

19.9

62.8

0

63379

82.1

90.4

25.9

20.2

63.0

0

64423

82.1

88.5

25.6

20.6

63.4

0

62647

73.7

96.2

25.5

20.7

63.6

0

62469

79.4

89.4

25.3

21.0

63.8

1

62740

91.7

73.1

24.7

21.8

64.7

0

64717

82.1

82.7

24.7

21.8

64.7

0

63549

70.5

86.5

23.6

23.5

66.4

0

64314

83.3

73.1

23.5

23.6

66.5

3

64860

76.9

78.8

23.4

23.8

66.6

0

63657

70.5

78.8

22.4

25.2

68.0

1

64078

72.4

76

22.3

25.3

68.2

0

61981

81.4

65.4

22.0

25.7

68.5

2

64100

65.4

78.8

21.6

26.2

69.1

0

62970

66.7

76.9

21.5

26.4

69.2

0

69532

67.3

71.2

20.8

27.5

70.3

0

64370

66.7

69.2

20.4

28.0

70.9

3

63904

65.4

67.3

19.9

28.7

71.6

2

62523

60.3

71.2

19.7

29.0

71.8

2

63815

50

80.8

19.6

29.1

72.0

3

63193

78.2

51.9

19.5

29.3

72.1

2

63651

73.7

53.8

19.1

29.8

72.7

1

62360

55.1

70.2

18.8

30.3

73.2

0

63606

61.5

57.7

17.9

31.6

74.5

0

64052

46.2

72.1

17.7

31.8

74.7

0

62502

36.5

52.9

13.4

38.0

80.8

1

64320

17.9

69.2

13.1

38.5

81.3

0

64259

77

0

11.6

40.6

83.5

3

64281

20.5

55.8

11.4

40.8

83.7

2

64273

30.1

44.2

11.1

41.2

84.1

0

61818

55.8

0

8.4

45.2

88.0

3

63677

48.1

0

7.2

46.8

89.7

3

64956

26.3

0

3.9

51.5

94.4

3

62151

23.7

0

3.6

52.1

94.9

0

63740

74.4

I

I

I

I

I

62812

64.1

WD

WD

WD

WD

WD

Week 12

In Week 12 we finished Recursion between Monday and Tuesday. Friday was an extra tutorial.

Week 13

In Week 13, we will have five tutorials (normal rooms and times) of which you are invited to up to four (your own tutorial slot plus the up to three of the lecture slots).

Study

Some students need to do extra work outside tutorials. Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Anyone who is missing notes is to email me.

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc. There are some excellent notes on Blackboard for MATH6055.

 

Student Feedback

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

Test 2

I hope to have these corrected at some stage next week. I will also send out the solutions at some point.

Week 11

We finished our study of Graph Theory by looking at Eulerian graphs, Fleury’s Algorithm, Hamiltonian graphs, and Dirac’s Theorem. We then began the last chapter on recursion. We had our test on Friday

Week 12

In Week 12 we will finish our study of recursion and perhaps do a little revision.

Week 13

In Week 13, perhaps we will have five tutorials (normal rooms and times) of which you are invited to up to four (your own tutorial slot plus the up to three of the lecture slots).

Study

Some students need to do extra work outside tutorials. Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Anyone who is missing notes is to email me.

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc. There are some excellent notes on Blackboard for MATH6055.

 

Assessment 2

Will be held on the Friday of Week 11 (24 November), at 09:00 in B214 (the usual lecture venue). A sample has been emailed and I also have hard copies with me. I strongly advise you that attending the tutorial alone may not be sufficient preparation for this test so you may have to devote extra time outside classes to study.

Week 10

In Week 10 explored Network Theory, or rather Graph Theory, in more depth. We looked at digraphs, connectedness, valency, walks, and trees.

Week 11

We will finish our study of Graph Theory by looking at Eulerian graphs, Fleury’s Algorithm, Hamiltonian graphs, and Dirac’s Theorem. We will then begin the last chapter on recursion. We have our test on Friday

Week 12

In Week 12 we will finish our study of recursion and perhaps do a little revision.

Week 13

In Week 13, perhaps we will have five tutorials (normal rooms and times) of which you are invited to up to four (your own tutorial slot plus the up to three of the lecture slots).

 

Study

Some students need to do extra work outside tutorials. Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Anyone who is missing notes is to email me.

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc. There are some excellent notes on Blackboard for MATH6055.

 

 

Week 9

In Week 9, will looked at examples of functions, including lines, quadratic functions, polynomial functions, exponential functions, the natural logarithm function, the floor function, and the ceiling function. We began the chapter on Network Theory by looking at the Bridges of Konigsberg Problem.

Week 10

In Week 10 we will explore Network Theory, or rather Graph Theory, in more depth. We will look at digraphs, connectedness, valency, walks, and trees.

 

Assessment 2

Will be held on the Friday of Week 11 (24 November), at 09:00 in B214 (the usual lecture venue). Expect a sample test shortly.

Study

Some students need to do extra work outside tutorials. Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Anyone who is missing notes is to email me.

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc. There are some excellent notes on Blackboard for MATH6055.

 

 

Week 8

In Week 8, we lost another lecture with the bank holiday, but we had an opportunity to better understand the function concepts after looking at arrow diagrams and the graph of a function.

Week 9

In Week 9, we will look at examples of functions, including lines, quadratic functions, polynomial functions, exponential functions, the natural logarithm function, the floor function, and the ceiling function.

Test 1

Results have been emailed to you. Solutions and comments here.

Assessment 2

Will be held in Week 11. Proper notice in Week 9, and a sample in Week 10.

Study

Some students need to do extra work outside tutorials. Please feel free to ask me questions about the exercises via email or even better on this webpage.

Student Resources

Anyone who is missing notes is to email me.

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc. There are some excellent notes on Blackboard for MATH6055.