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STAT2063 Probabilistic Methods and their Applications

Credit
6 points
Offering
(see Timetable)
AvailabilityLocationMode
Semester 1UWA (Perth)Face to face
Details for undergraduate courses
  • Level 2 core unit in the Electrical and Electronic Engineering; Software Engineering major sequences
Content
This unit introduces fundamental concepts of probability and probabilistic methods and provides tools for understanding, addressing and solving problems in a wide range of areas including science, engineering and finance. The basic concepts cover (pairs of) discrete and continuum random variables, their distributions and properties of random variables; independence and the conditional probability of multivariate distributions, sums of random variables, laws of large numbers and the Central Limit Theorem. This unit also covers discrete and continuous random processes and their properties that are particularly useful in science, engineering and finance. Statistical computing will form an essential part in testing the theoretical ideas, understanding and interpreting them in real and simulated scenarios.
Outcomes
Students are able to (1) explain the basic and fundamental concepts of probability; (2) apply probability models to real-world problems and present mathematical results in a coherent manner; (3) use modern programming languages to apply theoretical ideas to data; (4) recognise the value of simulations for modelling real-life applications; and; and (5) communicate results achieved with probabilistic methods in applications..
Assessment
Indicative assessments in this unit are as follows: (1) assignments; (2) laboratories and quizzes; and (3) final Examination. Further information is available in the unit outline.

For units commencing in May 2022 or later the availability of the supplementary assessment is subject to confirmation.

Student may be offered supplementary assessment in this unit if they meet the eligibility criteria.
Unit Coordinator(s)
Dr Edward Cripps
Unit rules
Prerequisites:
MATH1011 Multivariable Calculus and MATH1012 Mathematical Theory and Methods and Enrolment in ( BH011 Bachelor of Engineering (Honours) or CB006 Bachelor of Engineering (Honours)/ Bachelor of Commerce or CB004 Bachelor of Engineering (Honours)/ Bachelor of Science or CB014 Bachelor of Engineering (Honours)/ Bachelor of Philosophy (Honours) )
Co-requisites:
Nil
Incompatibility:
STAT2062 Fundamentals of Probability with Applications
Contact hours
Lectures: 2-hours per week; Laboratory/Tutorials: 2-hours per week
Texts

This unit will be based on a number of recommended texts including:

Probability, Statistics, and Random Processes For Electrical Engineering, Alberto Leon Garcia

Introduction to Probability, Jessica Hwang and Joseph K. Blitzstein

 

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  • Unit readings, including any essential textbooks, are listed in the unit outline for each unit, one week prior the commencement of study. The unit outline will be available via the LMS and the UWA Handbook one week prior the commencement of study. Reading lists and essential textbooks are subject to change each semester. Information on essential textbooks will also be made available on the Essential Textbooks. This website is updated regularly in the lead up to semester so content may change. It is recommended that students purchase essential textbooks for convenience due to the frequency with which they will be required during the unit. A limited number of textbooks will be made available from the Library in print and will also be made available online wherever possible. Essential textbooks can be purchased from the commercial vendors to secure the best deal. The Student Guild can provide assistance on where to purchase books if required. Books can be purchased second hand at the Guild Secondhand bookshop (second floor, Guild Village), which is located on campus.