Course Details in

Module Title	Discrete Mathematics and Statistics
School	Mathematics
Department	Mathematics
Module Code	06 22513
Module Lead	Dr. A. D. Gardiner
Level	Intermediate Level
Credits	20
Semester
Pre-requisites
Co-requisites
Restrictions	None
Contact Hours	Lecture-46 hours Tutorial-10 hours Total: 56 hours
Exclusions
Description	Students are led through the foundations for non-physical applicable mathematics. After mastering the art of counting and an introduction to graph theory, students meet an axiomatic treatment of probability, and solve simple problems in commonly occurring sample spaces. Following this the standard probability models are introduced and studied in view of their standard applications. Then there is a brief introduction to statistics leading via simple decision problems to classical point and interval estimates.
Learning Outcomes	By the end of the module the student will be able to: Understand and use the sum and product rules and binomial coefficients to solve standard and non-standard counting problems; Calculate probabilities and conditional probabilities in standard sample spaces; Apply Bayes theorem in standard situations; Know and use basic notions and results in elementary graph theory; Use the standard discrete and continuous probability models in appropriate situations; Understand a basic approach to statistics and use this to solve simple problems; Explore these topics beyond the taught syllabus.
Assessment	22483-01 : CA Sem 1 : Coursework (10%) 22483-02 : CA Sem 2 : Coursework (10%) 22483-03 : Exam : Exam (Centrally Timetabled) - Written Unseen (80%)
Assessment Methods & Exceptions	20% based on work during term-time; 80% based on a 3 hr written examination in the Summer term.
Other	None
Reading List