Undergraduate Course: Probability (MATH08066)
Course Outline
School  School of Mathematics 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 8 (Year 2 Undergraduate) 
Availability  Available to all students 
SCQF Credits  10 
ECTS Credits  5 
Summary  A first course in Probability, assuming prior knowledge of calculus, basic combinatorics and set theory.

Course description 
Probability theory, the mathematical description of chance, is a subject in its own right but also the bedrock on which Statistics and Data Science are built. We are surrounded by important questions involving chance but our intuition on the subject is often wrong. This course aims to give an understanding of the subject that will help you understand issues where chance plays a central role as well as preparing you for further study.
The course covers fundamental concepts and basic examples, assuming no previous knowledge of the subject. Some knowledge of calculus and basic combinatorics and set theory is assumed.
The central topics will include:
 Fundamentals of mathematical probability: sample spaces; events; independence; conditional probability and Bayes' Theorem. Discrete and continuous distributions.
 Random variables: expectation; variance; sums and products.
 Fundamental distributions: uniform; normal; binomial, geometric, Poisson, exponential and their applications.
 The idea and applications of the central limit theorem.

Information for Visiting Students
Prerequisites  Visiting students are advised to check that they have studied the material covered in the syllabus of each prerequisite course before enrolling. 
High Demand Course? 
Yes 
Course Delivery Information

Academic year 2024/25, Available to all students (SV1)

Quota: 360 
Course Start 
Semester 1 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 5,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
69 )

Assessment (Further Info) 
Written Exam
60 %,
Coursework
40 %,
Practical Exam
0 %

Additional Information (Assessment) 
Coursework 40%, Examination 60% 
Feedback 
Not entered 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S1 (December)  Probability (MATH08066)  2:120   Resit Exam Diet (August)  Probability MATH08066  2:120  
Learning Outcomes
On completion of this course, the student will be able to:
 discuss ideas and problems in probability in a professional manner using appropriate mathematical language;
 solve standard problems on the topics covered, identifying appropriate results and methods to use and giving careful, wellexpressed, accurate reasoning and calculations;
 working individually and as a group, apply the ideas and methods of the course to problems that may be longer, may extend the taught material, may involve combining different ideas or be open ended;
 learn mathematics from a variety of sources including critical and careful study of written materials;
 monitor their learning and manage their time, making judicious use of different learning resources.

Reading List
Notes and direction to particular online resources will be provided. There are numerous books and other online resources on basic probability. One book that would be an appropriate alternative source is A First Course in Probability by Sheldon Ross.

Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  Prob 
Contacts
Course organiser  Mr Stefan Engelhardt
Tel:
Email: stefan.engelhardt@ed.ac.uk 
Course secretary  Mr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk 

