Module Catalogues, Xi'an Jiaotong-Liverpool University

Module Code: MTH102
Module Title: Engineering Mathematics II
Module Level: Level 1
Module Credits: 2.50
Semester: SEM2
Originating Department: Department of Pure Mathematics
Pre-requisites: N/A

 Aims To introduce topics in Probability and Statistics and to describe and discuss the potential scope of their applications.To present the basic concepts and results in Random Processes.To train the students' ability to think logically and independently and to acquire the skills of problem solving.
 Learning outcomes A. know how to describe statistical data;B. use the Binomial, Geometric, Poisson, Exponential, Raleigh and Normal distributions;C. have a good understanding of the basic concepts related to Gaussian random variables,D. have a good understanding of the Law of large numbers and Central Limit Theorem;E. have a good understanding of the basic concepts related to Poisson Process, correlationfunction, stationarity and ergodicity.
 Method of teaching and learning This module will be delivered by a combination of formal lectures, problem classes, case studies and revision seminars.
 Syllabus Data Analysis. Probability, and Random Processes1.1 Data Representation. Average. Spread1.2 Experiments, outcomes, events1.3 Probability1.4 Permutations and combinations1.5 Random variables. Probability distributions1.6 Mean and variance of a distribution1.7 Binomial, Poisson, and Geometric distributions1.8 Exponential, Raleigh and Normal distributions1.9 Distributions of several random variables2.1 Mathematical preliminaries2.2 Gaussian random variables, Jointly Gaussian random variables,Representation of jointlyGaussian random variables2.3 Law of large numbers and Central Limit Theorem;2.4 Poisson Process2.5 Correlation function, stationarity and ergodicity in random processes
Delivery Hours
 Lectures Seminars Tutorials Lab/Prcaticals Fieldwork / Placement Other(Private study) Total Hours/Semester 28 7 40 75

## Assessment

 Sequence Method % of Final Mark 1 Final Exam 70.00 2 Midterm Exam 20.00 3 2 Assignments 10.00
 Module Catalogue generated from SITS CUT-OFF: 12/5/2020 1:17:54 PM