# MATH07038 2019 Statistics and Numerical Methods

### General Details

Full Title
Statistics and Numerical Methods
Transcript Title
Statistics and Numerical Metho
Code
MATH07038
Attendance
N/A %
Subject Area
MATH - Mathematics
Department
CENG - Civil Eng. and Construction
Level
07 - NFQ Level 7
Credit
05 - 05 Credits
Duration
Semester
Fee
Start Term
2019 - Full Academic Year 2019-20
End Term
9999 - The End of Time
Author(s)
Leo Creedon, Fergal Gallagher
Programme Membership
SG_ECIVL_H08 201900 Bachelor of Engineering (Honours) in Civil Engineering SG_EMECH_H08 201900 Bachelor of Engineering (Honours) in Mechanical Engineering
Description

Apply statistical and probability techniques to present and analyse data. Use numerical techniques to find approximate solutions.

This module will be approximately 8 weeks in duration due to work placement.

### Learning Outcomes

On completion of this module the learner will/should be able to;

1.

Compute the mean, median, mode, range, interquartile range, standard deviation and variance of data

2.

Calculate the probability of simple events and the probability associated with normal and binomial distributions

3.

Use sampling techniques to form confidence intervals and carry out hypothesis tests

4.

Plot a mean and range control chart and use it to test for statistical control

5.

Find correlation coefficients and regression equations

6.

Construct a function to fit data points using interpolation and extrapolation.

7.

Approximate the area under a curve

8.

Find numerical solutions of equations using the Newton-Raphson method

### Indicative Syllabus

Organisation and presentation of data

Measurement of central tendency: mean, median, mode

Measurement of dispersion: range, interquartile range, variance and standard deviation

Cumulative frequency curve

Probability Laws: independent and dependent events, addition and multiplication laws.

Probability distributions including normal and binomial distributions

Sampling Theory

Control Charts

Regression analysis and correlation

Curve Fitting

Numerical solutions of equations using Taylor's theorem, Newton-Raphson method

Approximate the area under the curve

### Coursework & Assessment Breakdown

Coursework & Continuous Assessment
20 %
End of Semester / Year Formal Exam
80 %

### Coursework Assessment

Title Type Form Percent Week Learning Outcomes Assessed
1 Continual Assessment Continuous Assessment Assessment 20 % OnGoing 1,2,3,4,5,6,7,8

### End of Semester / Year Assessment

Title Type Form Percent Week Learning Outcomes Assessed
1 Final Exam Written Examination Final Exam Closed Book Exam 80 % End of Term 1,2,3,4,5,6,7,8

Type Location Description Hours Frequency Avg Workload
Lecture Flat Classroom Theory 5 Weekly 5.00
Tutorial Not Specified Tutorial 1 Weekly 1.00
Independent Learning UNKNOWN Review Course Work 4 Weekly 4.00
Total Full Time Average Weekly Learner Contact Time 6.00 Hours

Type Location Description Hours Frequency Avg Workload
Lecture Flat Classroom Theory 5 Weekly 5.00
Tutorial Not Specified Tutorial 1 Weekly 1.00
Independent Learning Not Specified Review course work 4 Weekly 4.00
Total Part Time Average Weekly Learner Contact Time 6.00 Hours

### Module Resources

Non ISBN Literary Resources

James Reilly, Using Statistics, Gill and Macmillan

Stroud: "Engineering Mathematics", any edition

Other Resources

www.mathcentre.ac.uk