Module Catalogues, Xi'an Jiaotong-Liverpool University   
 
Module Code: MTH102
Module Title: Engineering Mathematics II
Module Level: Level 1
Module Credits: 2.50
Academic Year: 2019/20
Semester: SEM2
Originating Department: Mathematical Sciences
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, correlation

function, 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 Processes

1.1 Data Representation. Average. Spread

1.2 Experiments, outcomes, events

1.3 Probability

1.4 Permutations and combinations

1.5 Random variables. Probability distributions

1.6 Mean and variance of a distribution

1.7 Binomial, Poisson, and Geometric distributions

1.8 Exponential, Raleigh and Normal distributions

1.9 Distributions of several random variables

2.1 Mathematical preliminaries

2.2 Gaussian random variables, Jointly Gaussian random variables,Representation of jointly

Gaussian random variables

2.3 Law of large numbers and Central Limit Theorem;

2.4 Poisson Process

2.5 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: 5/23/2019 5:38:28 AM