Module Code - Title:
MA4413
-
STATISTICS FOR COMPUTING
Year Last Offered:
2025/6
Hours Per Week:
Grading Type:
N
Prerequisite Modules:
Rationale and Purpose of the Module:
To introduce the student to probabilistic ideas through the medium of information theory.
Syllabus:
Combinatorics: permutations, combinations and the binomial theorem.
Probability: Bayes theorem, conditional probability.
Introduction to information theory.
Compression algorithms.
Normal, Poisson and binomial distributions.
Hypothesis testing.
Chi squared test
Elementary queuing theory.
Learning Outcomes:
Cognitive (Knowledge, Understanding, Application, Analysis, Evaluation, Synthesis)
On successful completion of this module, students should be able to:
1. Apply probability theory to problem solving
2. Employ the concepts of random variables and probability distributions to problem solving
3. Apply information theory to solve problems in data compression and transmission
4. Analyse rates and proportions
5. Perform hypothesis tests for a variety of statistical problems
Affective (Attitudes and Values)
None
Psychomotor (Physical Skills)
None
How the Module will be Taught and what will be the Learning Experiences of the Students:
Lectures and tutorials
Research Findings Incorporated in to the Syllabus (If Relevant):
Prime Texts:
(1982)
Introduction to probability theory and statistical inference
,
Other Relevant Texts:
Larsen, R.J. and Marx, M.L. (2005)
An Introduction to Mathematical Statistics and Its Applications
, Prentice Hall
(2007)
Probability and statistics for engineering and the sciences¿
,
Programme(s) in which this Module is Offered:
Semester(s) Module is Offered:
Module Leader:
Helen.Purtill@ul.ie