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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.

 

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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.

 

 

In school, we learn how a line has an equation… and a circle has an equation… what does this mean?

The short answer is

points (x_0,y_0) on curve \longleftrightarrow solutions (x_0,y_0) of equation

however this note explains all of this from first principles, with a particular emphasis on the set-theoretic fundamentals.

Set Theory

set is a collection of objects. The objects of a set are referred to as the elements or members and if we can list the elements we include them in curly-brackets. For example, call by S the set of whole numbers (strictly) between two and nine. This set is denoted by

S=\{3,4,5,6,7,8\}.

We indicate that an object x is an element of a set X by writing x\in X, said, x in X or x is an element of X. We use the symbol \not\in to indicate non-membership. For example, 2\not\in S.

Elements are not duplicated and the order doesn’t matter. For example:

\{x,x,y\}=\{x,y\}=\{y,x\}.

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.

Catch-Up Material

If you haven’t watched these at this stage you really should:

Week 7

Disrupted by the Friday off, we did two lectures on Functions, looking at the definition of a function. We looked at what it means for a function to be 1-1, onto, and bijective. We looked at the composition of two functions as well as the concept of an inverse function.

Week 8

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

Assessment 1

Results have been emailed to you. I will send ye on a copy in a week or two.

Assessment 2

Will be held in Week 11.

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.

 

 

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

The storm interrupted us, costing us two lectures. You must watch the following videos to catch up: Inclusion-Exclusion Principle and the properties of relations. We have/had our test this Friday. A sample has been handed out.

Week 7

In Week 7 w will start the chapter on Functions.

Assessment 1

Test 1 will be held at 09:00, Friday 20 October in Week 6. Everything up to but not including relations is examinable. I have emailed ye a sample, a hard copy of which I gave out in tutorials.

Study

We are probably all going to have to put in some extra study before the test. Please try and find some extra time to try exercises, particularly with any new or harder material such as logs, cartesian products, and power sets. 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.

 

 

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

In Week 5 we looked more at sets and explored Cartesian Products We introduced relations. Then on Friday we looked harder at elementssubsets, power sets and the empty set.

Week 6

In Week 6 we will look at the Inclusion-Exclusion Principle and the properties of relations. We should start the chapter on Functions and then have our Test 1 on Friday.

Assessment 1

Test 1 will be held at 09:00, Friday 20 October in Week 6. Everything up to but not including relations is examinable. I have emailed ye a sample, a hard copy of which I will provide you with next week.

Study

We are probably all going to have to put in some extra study before the test. Please try and find some extra time to try exercises, particularly with any new or harder material such as logs, cartesian products, and power sets. We all have only one hour of tutorials before the test and finding two  hours to do exercises will make a big difference. 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.

 

 

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 4

In Week 4 we finished looking at logarithms and started the second chapter on Sets and Relations. I tried and failed to tell you about the barber paradox.

Week 5

In Week 5 we will look more at sets and set identities, and explore Cartesian Products and perhaps introduce relations.

Assessment 1

Test 1 will be held at 09:00, Friday 20 October in Week 6. Note this is different to your assessment schedule provided by the head of department, Tim Horgan. Expect a sample this time next week. Only material from Weeks 1-5 will be examined.

Study

We are probably all going to have to put in some extra study before the test. Please try and find some extra time to try exercises, particularly with any new or harder material such as logs. We all have two hours of tutorials before the test and finding two extra hours to do exercises will make a big difference. 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.

 

 

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