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  6. MA2010: Probability

MA2010: PROBABILITY (2019-2020)

Last modified: 25 Sep 2019 09:58


Course Overview

Probability theory is concerned with the analysis of random phenomena by providing an abstract mathematical framework to study them within the language of set theory. This is done by the concepts of "probability spaces" and "random variables". The theory began in the 16th century in attempts to analyze games of chance; In 1812 Pierre Simon Laplace wrote: "It is remarkable that a science which began with the consideration of games of chance should have become the most important object of human knowledge."

The course is recommended to anyone interested in the foundations and applications of mathematics.




Course Details

Study Type Undergraduate Level 2
Term First Term Credit Points 15 credits (7.5 ECTS credits)
Campus Aberdeen Sustained Study No
Co-ordinators
  • Mr Jason Smith

Qualification Prerequisites

  • Programme Level 2

What courses & programmes must have been taken before this course?

What other courses must be taken with this course?

None.

What courses cannot be taken with this course?

None.

Are there a limited number of places available?

No

Course Description

  • Sample spaces and the probability function.
  • Application of conditional probability and the partition theorem.
  • Random variables and distribution functions.
  • Expectation and variance.
  • Limit theorems and their application.
  • Generating functions and their uses.
  • Branching processes.
  • Markov Chains.

Syllabus

  • Sample spaces and (discrete) probability spaces.
  • Conditional probability and the partition theorem.
  • Random variables and distribution functions.
  • Expectation and variance of random variables. Linearity of the expectation. The covariance.
  • Independent random variables.
  • Frequently used distributions: Bernoulli, binomial, geometric, hypergeometric, Poisson.
  • Limit theorems (Chebyshef's inequality, the weak law of large numbers, the central limit theorem).
  • Branching processes (if time permits).

Contact Teaching Time

Information on contact teaching time is available from the course guide.

Teaching Breakdown

More Information about Week Numbers


Details, including assessments, may be subject to change until 30 August 2024 for 1st term courses and 20 December 2024 for 2nd term courses.

Summative Assessments

Exam

Assessment Type Summative Weighting 80
Assessment Weeks Feedback Weeks

Look up Week Numbers

Feedback

Students will be invited to contact the Course Coordinator for feedback on the final examination.
Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

Homework

Assessment Type Summative Weighting 10
Assessment Weeks Feedback Weeks

Look up Week Numbers

Feedback

In-course assignments will normally be marked within one week and feedback provided to students in tutorials.
Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

Homework

Assessment Type Summative Weighting 10
Assessment Weeks Feedback Weeks

Look up Week Numbers

Feedback
Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

Formative Assessment

There are no assessments for this course.

Resit Assessments

Best of written exam (100%) or written exam (80%) with carried forward in-course assessment (20%)

Assessment Type Summative Weighting
Assessment Weeks Feedback Weeks

Look up Week Numbers

Feedback
Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

Course Learning Outcomes

Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator
 

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