Offered to students admitted to Year 1 in  ALL 

Major/Minor  ALL 
Course Type  
Offer in 2018  2019  Y N 
Course Code  MATH3603 
Date  2019/05/26 03:33 
Enquiry for Course Details 
MATH3603 Probability theory (6 credits)  Academic Year  2018  

Offering Department  Mathematics  Quota    
Course Coordinator  Dr Z Qu, Mathematics < zhengqu@maths.hku.hk >  
Teachers Involved  (Dr Z Qu,Mathematics)  
Course Objectives  The emphasis of this course will be on probability models and their applications. The primary aim is to elucidate the fundamental principles of probability theory through examples and to develop the ability of the students to apply what they have learned from this course to widely divergent concrete problems.  
Course Contents & Topics 
Basic probability theory: random variable, discrete and continuous probability distributions, expectation, variance, moment generating function, strong law of large numbers, central limit theorem. Conditional probability theory: conditional probability, Bayes theorem, conditional expectation, conditional variance, compound random variable, Polya's urn model, BoseEinstein statistics. Markov chain theory: concepts of states and transition probability, irreducibility, stationary distribution, limiting probabilities, reversibility, hidden Markov chain, applications in marketing and genetic problems, branching process, Markov decision process. Poisson process and reliability theory: exponential distribution, memoryless property, Poisson process, concepts of reliability, applications to server queue problems. 

Course Learning Outcomes 
On successful completion of this course, students should be able to:


Prerequisites (and Corequisites and Impermissible combinations) 
Pass in (MATH2101 and MATH2211) or MATH2014 or (MATH1821 and MATH2822)  
Course Status with Related Major/Minor /Professional Core 
2018 Major in Mathematics
(
Disciplinary Elective
)
2018 Minor in Computational & Financial Mathematics ( Disciplinary Elective ) 2018 Minor in Mathematics ( Disciplinary Elective ) 2017 Major in Mathematics ( Disciplinary Elective ) 2017 Major in Mathematics/Physics ( Disciplinary Elective ) 2017 Minor in Computational & Financial Mathematics ( Disciplinary Elective ) 2017 Minor in Mathematics ( Disciplinary Elective ) 2016 Major in Mathematics ( Disciplinary Elective ) 2016 Major in Mathematics/Physics ( Disciplinary Elective ) 2016 Minor in Computational & Financial Mathematics ( Disciplinary Elective ) 2016 Minor in Mathematics ( Disciplinary Elective ) 2015 Major in Mathematics ( Disciplinary Elective ) 2015 Major in Mathematics/Physics ( Disciplinary Elective ) 2015 Minor in Computational & Financial Mathematics ( Disciplinary Elective ) 2015 Minor in Mathematics ( Disciplinary Elective ) 2014 Major in Mathematics ( Disciplinary Elective ) 2014 Major in Mathematics/Physics ( Disciplinary Elective ) 2014 Minor in Computational & Financial Mathematics ( Disciplinary Elective ) 2014 Minor in Mathematics ( Disciplinary Elective ) 

Course to PLO Mapping 
2018 Major in Mathematics < PLO 1,2,3 >
2017 Major in Mathematics < PLO 1,2,3 > 2017 Major in Mathematics/Physics < PLO 1,2,3 > 2016 Major in Mathematics < PLO 1,2,3 > 2016 Major in Mathematics/Physics < PLO 1,2,3 > 2015 Major in Mathematics < PLO 1,2,3 > 2015 Major in Mathematics/Physics < PLO 1,2,3 > 2014 Major in Mathematics < PLO 1,2,3 > 2014 Major in Mathematics/Physics < PLO 1,2,3 > 

Offer in 2018  2019  Y 1st sem  Examination  Dec  
Offer in 2019  2020  Y  
Course Grade  A+ to F  
Grade Descriptors 


Course Type  Lecturebased course  
Course Teaching & Learning Activities 


Assessment Methods and Weighting 


Required/recommended reading and online materials 
S.M. Ross: Introduction to Probability Models (Academic Press, 2007, 9th ed.)  
Course Website  http://moodle.hku.hk/  
Additional Course Information 
Tutorial timetable: http://hkumath.hku.hk/~math/Timetable/timetable1819_S1.pdf 
Back / Home 