MATH07038 2019 Statistics and Numerical Methods
Full Title
Statistics and Numerical Methods
Transcript Title
Statistics and Numerical Metho
Code
MATH07038
Attendance
N/A %
Subject Area
MATH - 0541 Mathematics
Department
CENG - Civil Eng. and Construction
Level
07 - 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 202000 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 | Coursework 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 |
Full Time Mode Workload
| 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
Part Time Mode Workload
| 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
URL Resources
James Reilly Applied Statistics e-book:
http://www.statisticalsolutions.ie/wp-content/uploads/2013/03/APPLIED-STATISTICS-ebook.pdf
Other Resources
www.mathcentre.ac.uk
www.khanacademy.org
IT Sligo Maths Support Centre