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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2017/2018

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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Probability (MATH08066)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 8 (Year 2 Undergraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
SummaryAn introduction to probability; no prior knowledge is required.
Course description Week 1: Introduction, counting, foundations of Probability: sample spaces and events (Chap. 1.1-2.3 of Sheldon Ross.)
Week 2: Samples spaces with equally likely outcomes. (Ch. 2.4-2.5)
Week 3: Conditional Probability, Bayes's formula (Ch 3.1-3.3)
Week 4: Independence (Ch 3.4-3.5)
Week 5: Discrete random variables, expectation, variance (4.1-4.5),
Week 6: Bernoulli, binomial, Poisson, geometric, negative binomial RVs (4.6-4.9)
Week 7: Sums of RV's, hypergeometric RV, Continuous RVs (4.9-5.3)
Week 8: Uniform, normal, exponential, gamma RVs (5.4-5.6)
Week 9: Joint and independent RVs (6.1-6.2)
Week 10: Sums of independent RVs, Limit theorems: Markov, Chebyshev, weak law of large numbers, Moment generating function (6.3-8.2)
Week 11: Central limit theorem, Poisson Process, Overview (8.3-9.1)
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: ( Introduction to Linear Algebra (MATH08057) AND Calculus and its Applications (MATH08058)) OR Accelerated Algebra and Calculus for Direct Entry (MATH08062)
Co-requisites
Prohibited Combinations Students MUST NOT also be taking Probability with Applications (MATH08067)
Other requirements None
Information for Visiting Students
Pre-requisitesVisiting students are advised to check that they have studied the material covered in the syllabus of each pre-requisite course before enrolling.
High Demand Course? Yes
Course Delivery Information
Academic year 2017/18, Available to all students (SV1) Quota:  None
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 )
Additional Information (Learning and Teaching) Students must pass exam and course overall.
Assessment (Further Info) Written Exam 85 %, Coursework 15 %, Practical Exam 0 %
Additional Information (Assessment) Coursework 15%, Examination 85%
Feedback Not entered
Exam Information
Exam Diet Paper Name Hours & Minutes
Main Exam Diet S1 (December)MATH08066 Probability2:00
Resit Exam Diet (August)(MATH08066) Probability2:00
Learning Outcomes
On completion of this course, the student will be able to:
  1. To understand the basic notions of probability, conditional probability and independence..
  2. To be familiar with the geometric, bionomial and Poisson discrete distributions.
  3. To be familiar with the uniform, exponential and normal continuous distributions.
  4. To be able to work with several random variables and functions of them.
  5. To understand the basic limit theorems of probability.
Reading List
A First Course in Probability (8th Editions), Sheldon Ross,
Additional Information
Graduate Attributes and Skills Not entered
KeywordsProb
Contacts
Course organiserDr Tibor Antal
Tel: (0131 6)51 7672
Email:
Course secretaryMr Martin Delaney
Tel: (0131 6)50 6427
Email:
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