## Quiz 5 Results

Below find the results. Your best eight quizzes go to the 20% mark for quizzes. The R % column is your running percentage (for best eight quizzes). The QPP is your Quiz Percentage Points. MPP is your Maple percentage points. GPP is your gross percentage points.

S/N | Q1 | Q2 | Q3 | Q4 | Q5 | R% | QPP | MPP | GPP |

O’Sullivan, K. | 2.17 | 2.5 | 2.5 | 2.5 | 2.5 | 97.4 | 12.2 | 3 | 15.2 |

Murphy | 2.37 | 2.5 | 2.07 | 2.5 | 2.5 | 95.5 | 11.9 | 3 | 14.9 |

Connolly | 2.17 | 2.5 | 2.5 | 1.8 | 2.1 | 88.6 | 11.1 | 3 | 14.1 |

Fahey | 2.5 | 2.5 | 2.07 | 1.5 | 2.5 | 88.6 | 11.1 | 3 | 14.1 |

2073 | 0.99 | 2.5 | 2.5 | 2.5 | 2.5 | 87.9 | 11 | 3 | 14 |

5484 | 2.43 | 2.5 | 2.5 | 1 | 1.9 | 82.6 | 10.3 | 3 | 13.3 |

2327 | 2.5 | 1.72 | 1.2 | 2.5 | 1.9 | 78.6 | 9.82 | 3 | 12.8 |

2128 | 2.24 | 0.4 | 2.28 | 2.5 | 2.3 | 77.8 | 9.72 | 3 | 12.7 |

2942 | 1.71 | 1.7 | 1.74 | 1.8 | 1.8 | 70 | 8.75 | 3 | 11.8 |

8332 | 2.37 | 1.22 | 2.5 | 0.6 | 1.9 | 68.7 | 8.59 | 3 | 11.6 |

3703 | 1.71 | 1.2 | 1.85 | 1.4 | 2.3 | 67.7 | 8.46 | 3 | 11.5 |

2070 | 0.33 | 0.2 | 2.07 | 2.3 | 2.5 | 59.2 | 7.4 | 3 | 10.4 |

7879 | 1.12 | 2.5 | 0 | 2.2 | 1.5 | 58.6 | 7.32 | 3 | 10.3 |

1486 | 2.24 | 2.4 | 0 | 0 | 2.5 | 57.1 | 7.14 | 1.5 | 8.64 |

3481 | 1.71 | 0.3 | 1.04 | 1.5 | 2.4 | 55.6 | 6.95 | 3 | 9.95 |

8426 | 2.24 | 2.5 | 0 | 0 | 1.2 | 47.5 | 5.94 | 1.5 | 7.44 |

2257 | 0.53 | 0.6 | 1.74 | 1.2 | 1.6 | 45.4 | 5.67 | 3 | 8.67 |

1298 | 0.46 | 1.9 | 1.74 | 0.6 | 0.8 | 44 | 5.5 | 1.5 | 7 |

1321 | 1.45 | 0.4 | 0.76 | 1.02 | 1.2 | 38.6 | 4.83 | 3 | 7.83 |

8425 | 0 | 0.4 | 1.63 | 1 | 1.8 | 38.6 | 4.83 | 3 | 7.83 |

3872 | 0.26 | 0 | 2.5 | 1.2 | 0 | 31.7 | 3.96 | 3 | 6.96 |

2237 | 1.71 | 0 | 0.98 | 0 | 1.2 | 31.1 | 3.89 | 3 | 6.89 |

8354 | 0.39 | 0 | 0.22 | 0.2 | 1.7 | 20.1 | 2.51 | 3 | 5.51 |

9896 | 1.97 | 0 | 0 | 0 | 0 | 15.8 | 1.97 | 0 | 1.97 |

7209 | 0.39 | 0 | 0 | 0 | 0 | 3.12 | 0.39 | 0 | 0.39 |

2092 | 0 | 0 | 0 | 0.2 | 0 | 1.6 | 0.2 | 1.5 | 1.7 |

4402 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |

## Maple Lab

The Maple Lab takes place in C128.

The following is the proposed schedule for **Weeks 8, 9, 11, 12 **(but this is subject to change):

**Group 1 – Starts at 18:00 and Finishes at 20:50:**

Wednesdays 18:00-19:05 – Maple Lab in room C128

Wednesdays 19:15-19:30 – Weekly Quiz in C212

Wednesdays 19:30-20.50 – Theory class in room C128

**Group 2 – Starts at 19:15 and Finishes at 22:00:**

Wednesdays 19:15-19:30 – Weekly Quiz in C128

Wednesdays 19:30-20:50 – Theory class in room C212

Wednesdays 20.55-22:00 – Maple Lab in room C128

In weeks where there is no Maple Lab, the quiz will take place from 19:00-19:15 *sharp.*

## Quiz 6 Question Bank

Question bank for Quiz 6 (in Week 8) is as follows:

- P. 80-81, Q. 1-6 [Q. 5 you won’t be asked to calculate the integral]

You will be asked to approximate two integrals:

- Using Midpoint or Trapezoidal Rule [will be one or the other]
- Using Simpson’s Rule

I expect this quiz to be tight for time.

If you have any specific difficulties with these questions, please email me. Alternatively use Maple or *Wolfram Alpha *to help. Your Quiz 4 Questions will be taken from these.

Quiz 6 runs from 19:15 to 19:30 *sharp *on Wednesday 22 March.

## Week 7

We finished Chapter 2 by looking at Numerical Integration. We made a start on Chapter 3, Laplace Transforms.

## Week 8

We will finish Chapter 2 by looking at Numerical Integration. We will continue working on Laplace Transforms.

## Example

*We never finished the following in class:*

The *normalised sinc function* is a function used in signal processing defined by

for and .

i. Show that the equation

can be written as

ii. Show that has a root in .

iii. Hence use the Newton Raphson-Method twice with seed to

approximate this root correct to three significant figures.

iv. Check your answer by showing that

.

where is your answer to part iii.

*Solution: *We did parts i. – ii. in class. For part iii. we will use the formula:

.

We have

;

Therefore

For part iv. we calculate

.

## Plan: Catch-up

Things are changed slightly due to the missed class in Week 6. At the moment we are three hours behind. I will figure this out in the next week or so.

**Week 3:**Maple Lab 1 & Section 1.4**Week 4:**Section 1.4 & Section 1.5**Week 5:**Maple Lab 2 & Section 2.1**Week 6:**Section 2.2 & Sections 3.1-3.3 [Class Missed]**Week 7:**Section 2.2 & Section 3.1**Week 8:**Maple Lab 3 & Sections 3.2-3.3**Week 9:**Maple Lab 4 & Section 3.4**Week 10:**Section 3.4- ————-EASTER————–
**Week 11:**Maple Lab 5 & Section 3.4**Week 12:**Maple Test & Section 3.4 [Missing Section 3.5]- ————-END OF LECTURES———-
**Week 13:**Review Class — Summer 2015 Paper

## Maple Catch Up

If you want to do Maple catch up (if you miss a lab) you have two options:

- download the Maple file from your email, do the exercises in Maple (either in a new worksheet or on top of the original file with the exercises), save the worksheet and email me the worksheet you were working on.
- come in for a double Maple session on a ‘Maple’ night.

## Academic Learning Centre

I would urge anyone having any problems with the material to use the Academic Learning Centre. You will get best results if you come to the helpers there with *specific *questions.

## Study

Please feel free to ask me questions about the exercises via email or even better on this webpage. Anyone can give me exercises they have done and I will correct them. I also advise that you visit the Academic Learning Centre.

## Student Resources

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

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