MA3160Probability and Stochastic Processes

What you will study

Course overview

This course introduces probability models, stochastic processes and their applications. The primary aim is to elucidate the fundamental principles of probability theory through examples and to develop the ability of students in applying what they learned from this course to widely divergent concrete science and engineering problems.

Official PDF, page 2 · Abstract

Course content

Probability.. Distributions. Stochastic processes. Queuing theory. Markov chains. Poisson processes

Official PDF, page 6 · Keyword Syllabus

Intended learning outcomes

View official learning outcomes and conditions

CILOs                                                 Weighting (if DEC-A1       DEC-A2          DEC-A3
                                                                     app.)
1               explain clearly concepts from probability and        10               x
                describe basic stochastic processes.
2               evaluate various quantities for probability          20                         x
                distributions and random variables.
3               formulate and solve problems about stochastic        20                         x
                processes.
4               develop mathematical models for a range of           20               x         x                x
                empirical phenomena and analyze models
                of queueing system on the basis of stochastic
                processes.
5               the combination of CILOs 1-4                         30               x         x                x

Official PDF, page 2 · Course Intended Learning Outcomes (CILOs)

Before you take this course

Check prerequisites, precursors and corequisites separately, together with equivalence and exclusion conditions. “and” means conditions must be met together; “or” marks alternatives. Read combined conditions in the groupings shown in the original text below.

Prerequisites

MA2001 Multi-variable Calculus and Linear Algebra or equivalent

Official PDF, page 1 · Prerequisites

Precursors

Nil

Official PDF, page 1 · Precursors

Corequisites

This edition of the official syllabus does not state this item.

Additional course requirements

This edition of the official syllabus does not state this item.

Equivalent courses and conditions

Nil

Official PDF, page 1 · Equivalent Courses

Exclusive courses and conditions

MA4535 Applied Probability

Official PDF, page 1 · Exclusive Courses

Assessment and passing the course

Assessment

Continuous Assessment (%): 30; Examination (%): 70; Examination Duration (Hours): 2

View the original assessment table and instructions

ATs                   CILO No.             Weighting (%)       Remarks ("-" for      Allow Use of
                                                                                     nil entry)            GenAI?
1                     Test                  1, 2, 3              15                  Questions are         No
                                                                                     designed for the
                                                                                     first part of the
                                                                                     course to see
                                                                                     how well the
                                                                                     students have
                                                                                     learned theory
                                                                                     and techniques
                                                                                     of probability
                                                                                     and stochastic
                                                                                     processes.

2                       Hand-in               1, 2, 3, 4       15                      These are skills     Yes
                        assignments                                                    based assessment
                                                                                       to see whether
                                                                                       the students are
                                                                                       familiar with
                                                                                       theory, techniques
                                                                                       of probability
                                                                                       and stochastic
                                                                                       processes
                                                                                       and related
                                                                                       applications in
                                                                                       queueing systems
                                                                                       and scientific
                                                                                       modelling.
3                       Formative take-  1, 2, 3, 4            0                       The assignments      Yes
                        home assignments                                               provide students
                                                                                       chances to
                                                                                       demonstrate their
                                                                                       achievements
                                                                                       on probability
                                                                                       and stochastic
                                                                                       processes as
                                                                                       well as their
                                                                                       applications
                                                                                       learned in this
                                                                                       course.

Official PDF, page 4 · Continuous Assessment (%),Examination (%),Examination Duration (Hours)

Passing requirements

Minimum Examination Passing Requirement (%): 30 Additional Information for ATs: 30% Coursework 70% Examination (Duration: 2 hours, at the end of the semester) For a student to pass the course, at least 30% of the maximum mark for the examination must be obtained.

Official PDF, page 4 · Minimum Examination Passing Requirement (%),Additional Information for ATs