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Module Title Discrete Mathematics and Statistics Mathematics Mathematics 06 22513 Dr. A. D. Gardiner Intermediate Level 20 None Lecture-46 hours Tutorial-10 hours Total: 56 hours 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. 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. 22483-01 : CA Sem 1 : Coursework (10%) 22483-02 : CA Sem 2 : Coursework (10%) 22483-03 : Exam : Exam (Centrally Timetabled) - Written Unseen (80%) 20% based on work during term-time;80% based on a 3 hr written examination in the Summer term. None