STAT2062 Fundamentals of Probability with Applications

Credit
6 points
Offering
(see Timetable)
AvailabilityLocationMode
Semester 2UWA (Perth)Face to face
Details for undergraduate courses
  • Level 2 option in the Mathematics and Statistics major sequence
  • The area of knowledge for this unit is Mathematical and Physical Sciences
  • Category A broadening unit for Bachelor of Science students where relevant according to the broadening requirements for each student
  • Level 2 elective
Content
This unit develops mathematical methods essential in the study of probability together with the distribution theory required for a study of statistical inference. Topics include random variables and their distributions; joint and conditional distributions; a survey of common distributions and some of their applications; the Poisson process and related distributions; convergence of random variables and the central limit theorem; and an introduction to Markov chains.
Outcomes
Students are able to (1) explain the fundamental concepts of probability; (2) apply probability models to real-world problems and present mathematical results in a logical and coherent manner; and (3) recognise that understanding fundamentals is necessary for effective application.
Assessment
Indicative assessments in this unit are as follows: (1) quizzes; (2) assignment; and (3) mid-semester test and final examination. Further information is available in the unit outline.

Supplementary assessment is not available in this unit except in the case of a bachelor's pass degree student who has obtained a mark of 45 to 49 overall and is currently enrolled in this unit, and it is the only remaining unit that the student must pass in order to complete their course.
Unit Coordinator(s)
Associate Professor John Lau
Unit rules
Prerequisites:
(MATH1001 Mathematical Methods 1
and
MATH1002 Mathematical Methods 2)
or
(MATH1011 Multivariable Calculus
and
MATH1012 Mathematical Theory and Methods); for pre-2012 courses: MATH1020 Calculus, Statistics and Probability
or
FINA2205 Quantitative Methods for Finance
Incompatibility:
MATH2209 Calculus and Probability
or
STAT2061 Probability and Mathematical Statistics
Contact hours
lectures: 3 hours per week; practical classes/computer labs: 1 hour per fortnight
Unit Outline
Semester 2_2019 [SEM-2_2019]
  • The availability of units in Semester 1, 2, etc. was correct at the time of publication but may be subject to change.
  • All students are responsible for identifying when they need assistance to improve their academic learning, research, English language and numeracy skills; seeking out the services and resources available to help them; and applying what they learn. Students are encouraged to register for free online support through GETSmart; to help themselves to the extensive range of resources on UWA's STUDYSmarter website; and to participate in WRITESmart and (ma+hs)Smart drop-ins and workshops.
  • Books and other material wherever listed may be subject to change. Book lists relating to 'Preliminary reading', 'Recommended reading' and 'Textbooks' are, in most cases, available at the University Co-operative Bookshop (from early January) and appropriate administrative offices for students to consult. Where texts are listed in the unit description above, an asterisk (*) indicates that the book is available in paperback.