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Module Title Discrete Mathematics and Statistics
SchoolMathematics
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
Seminar-0 hours
Tutorial-10 hours
Project supervision-0 hours
Demonstration-0 hours
Practical Classes and workshops-0 hours
Supervised time in studio/workshop-0 hours
Fieldwork-0 hours
External Visits-0 hours
Work based learning-0 hours
Guided independent study-0 hours
Placement-0 hours
Year Abroad-0 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