Module IEA1003:
Mathematics 3
Module Facts
Run by School of Computer Science and Electronic Engineering
10 Credits or 5 ECTS Credits
Semester 2
Organiser: Dr Maziar Nezhad
Overall aims and purpose
To continue the process of equipping students with the mathematical skills required for Year 1 Engineering Courses and for progressing successfully to Year 2 Courses.
The module will consist of two main topics:
 Probability and statistics (1/3 of the semester)
 Matrices, vectors and vector fields (2/3 of semester)
The module will also teach the rudiments of using Matlab for statistics and matrix calculations.
Course content
Probability and Statistics
• Arrangement of data; histograms; mean; mode; and median. Dispersion; range; standard deviation. Normal distribution; standardized normal curve. ; Probability; Independence; Mutually exclusive events; Probability density functions; The binomial distribution; The Poisson distribution; The Gaussian distribution.
Matrices
• Matrix definition; Operations on Matrices; Determinants; Matrix inversion; Solutions of linear equations using matrices;
Vectors and vector fields
• Vector definition; Operations on vectors. Vectors in 2D and 3D; Representation of lines and planes using vectors; Scalar and vector products of two vectors; Angle between two vectors; Scalar fields; Vector fields; Gradient of a scalar field
Learning outcomes mapped to assessment criteria
threshold 40% 
good 60% 
excellent 70% 


Know and understand probability and statistics. Be able to calculate averages and data spread. Be able to calculate the probability of different events. 
Has knowledge and understanding of most of the material covered. In addition to the threshold requirements, understands the implications of the theory and is able to apply this to solving problems.  Has basic knowledge of data arrangement, dispersion and distribution. Can calculate simple probabilities.  Indepth understanding of all areas covered. Able to apply theory to unseen problems. 
Know and understand the basic operations of matrix algebra, determinants and their application in solving systems of linear equations. 
Has knowledge and understanding of most of the material covered. In addition to the threshold requirements, understands the implications of the theory and is able to apply this to solving problems.  Has basic knowledge and understanding of matrix algebra. Can calculate determinants of matrices. Can invert matrices. Knows the application of matrices to solving equations.  Indepth understanding of all areas covered. Able to apply theory to unseen problems. 
Know and understand the basic operations in vector algebra. Be familiar with Cartesian and geometric representations of vectors. Use vectors to represent lines and planes. Know the concept of a scalar field and a vector field. Calculate the gradient of a scalar field using partial derivatives. 
Can describe a vector field and carry out simple vector operations. Knows the connection between matrices and vectors. Can calculate with lines and planes in three dimensions. Knows the concept of a scalar field and a vector field and can calculate the gradient of a scalar field.  In addition to threshold requirements, can write more complex code. Has a good understanding of commands and can manipulate data with ease. Can do a basic level of debugging.  In addition to previous skills is able to write complex code, self initiate a project and make the connection between different concepts. Has superior debugging skills and can develop/find new commands and concepts by reading the Matlab manual on their own. 
Be acquainted with the use of Matlab for statistical, probabilistic and matrix calculations. 
Is familiar with the Matlab environment and can do simple calculations in the Matlab interface.  In addition can write simple Matlab scripts.  In addition can import/export data and plot in 2D and 3D. 
Assessment Methods
Type  Name  Description  Weight 

:End of semester examination  55  
Combined Tests  30  
Combined MATLAB assignments  15 
Teaching and Learning Strategy
Hours  

Lecture  2 x 2 hour Lectures over 12 weeks 
48 
Private study  52 
Transferable skills
 Literacy  Proficiency in reading and writing through a variety of media
 Numeracy  Proficiency in using numbers at appropriate levels of accuracy
 Computer Literacy  Proficiency in using a varied range of computer software
 Information retrieval  Able to access different and multiple sources of information
 Critical analysis & Problem Solving  Able to deconstruct and analyse problems or complex situations. To find solutions to problems through analyses and exploration of all possibilities using appropriate methods, rescources and creativity.
Subject specific skills
 Apply underpinning concepts and ideas of engineering;
 Solve problems logically and systematically;
 Analyse and display data using appropriate methods and mathematical techniques;
 Demonstrate familiarity with relevant subject specific and general computer software packages.
Courses including this module
Compulsory in courses:
 H612: BEng Computer Systs Eng (3 yrs) year 1 (BENG/CSE)
 H610: BENG Electronic Engineering (3 yrs) year 1 (BENG/ELE)
 H621: BEng Electronic Engineering with International Experience year 1 (BENG/ELEIE)
 H603: BSc Computer Systems Engineering year 1 (BSC/CSENG)
 H611: BSc Electronic Engineering year 1 (BSC/ELE)
 H661: MEng Control and Instrumentation Engineering year 1 (MENG/CIE)
 H660: MEng Critical Safety Engineering year 1 (MENG/CRSEN)
 H617: MEng Computer Systs Eng (4 yrs) year 1 (MENG/CSE)
 H619: MEng Computer Systems Engineering (with International Exper) year 1 (MENG/CSEIE)
 H601: MEng Electronic Engineering (4 yrs) year 1 (MENG/EE)