Module IEA1002:
Mathematics 2
Module Facts
Run by School of Computer Science and Electronic Engineering
10 Credits or 5 ECTS Credits
Semester 2
Organiser: Dr Zengbo Wang
Overall aims and purpose
To equip students with the mathematical skills required for Year 1 Engineering courses and for progressing successfully to Year 2 Courses.
Course content

Differentiation: Revision of notation for sets and functions. Revision of basic algebra techniques. The limit of a real function at a point. Derivative as gradient: tangent lines. Rules of differentiation. Polynomial, exponential, logarithmic, and inverse functions. Local maxima, minima, points of inflection. Using MATLAB to sketch graphs of functions. Parametric curves; polar coordinates. Solution of equations by iteration

Integration: Integration as antidifferentiation. The area under a curve. Integration by parts and by substitution. Methods of numerical integration. Mean and rootmeansquare values. The method of partial fractions. Integrals of the form f’(x)/f(x) and f’(x).f(x). Distance, velocity and acceleration. Parametric curves: arc length and area. Maclaurin and Taylor series expansions. Arithmetic with Maclaurin series.

Number Systems: Integers, rationals and real numbers. Fractions ↔ infinite decimal expansions. j = √( 1), solving quadratic equations. Complex arithmetic; Argand diagram. Revision of trigonometric functions. Complex functions: bilinear; exp; log. exp(jθ) = cos(θ) + j.sin(θ). De Moivre’s theorem: nth roots

Functions of two variables: Examples of real functions of two variables. Using MATLAB to sketch surfaces. Partial differentiation and tangent planes. Maxima, minima and saddle points. Solution of exact differential equations. Maclaurin series for f(x,y).
Learning outcomes mapped to assessment criteria
threshold 40% 
good 60% 
excellent 70% 


Know and understand the basis, rules and techniques of differential calculus and its application in engineering. 
Has basic knowledge and understanding of differential calculus. Able to apply this knowledge to simple functions found in the electronic engineering course.  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 most functions found in the electronic engineering course.  Indepth understanding of all areas covered. Able to apply theory to unseen problems. 
Know and understand the basis, rules and techniques of integral calculus and its application in engineering. 
Has basic knowledge and understanding of the integral calculus. Able to apply the theory to simple functions found in the electronic engineering course.  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 most functions found in the electronic engineering course.  Indepth understanding of all areas covered. Able to apply theory to unseen problems. 
Know and understand the basis, rules and techniques of complex number algebra and its application in engineering. 
LO3) Know and understand the basis, rules and techniques of complex number algebra and its application in engineering.  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 most functions found in the electronic engineering course.  Indepth understanding of all areas covered. Able to apply theory to unseen problems. 
Know and understand the basis, rules and techniques for partial differentiation. 
LO4) Know and understand the basis, rules and techniques for partial differentiation.  Has basic knowledge and understanding of real functions of two variables and the methods of partial differentiation. Able to apply to simpler functions found in the electronic engineering course.  Indepth understanding of all areas covered. Able to apply theory to unseen problems. 
Assessment Methods
Type  Name  Description  Weight 

Examination  70  
Test Week 5  10  
Test Week 8  10  
Test Week 12  10 
Teaching and Learning Strategy
Hours  

Lecture  2 x 2 hours Lectures (lecturing+ student inclass practice style), over 12 weeks 
48 
Private study  Exercise questions and solutions are available to student for private study after each lecture. 
52 
Transferable skills
 Literacy  Proficiency in reading and writing through a variety of media
 Numeracy  Proficiency in using numbers at appropriate levels of accuracy
 Exploring  Able to investigate, research and consider alternatives
 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.
 Argument  Able to put forward, debate and justify an opinion or a course of action, with an individual or in a wider group setting
Subject specific skills
 Apply underpinning concepts and ideas of engineering;
 Solve problems logically and systematically;
 Use both verbal and written communication skills to different target audiences;
 Analyse and display data using appropriate methods and mathematical techniques;
 Demonstrate familiarity with relevant subject specific and general computer software packages.
Pre and Corequisite Modules
Courses including this module
Compulsory in courses:
 W3H6: BA Music and Electronic Engineering year 1 (BA/MEE)
 H612: BEng Computer Systs Eng (3 yrs) year 1 (BENG/CSE)
 H61B: BEng Computer Sys Engineering (4yr with Incorp Foundation) year 1 (BENG/CSE1)
 H610: BENG Electronic Engineering (3 yrs) year 1 (BENG/ELE)
 H62B: BEng Electronic Engineering (4yr with Incorp Foundation) year 1 (BENG/ELE1)
 H621: BEng Electronic Engineering with International Experience year 1 (BENG/ELEIE)
 H64B: BSc Computer Sys Engineering (4yr with Incorp Foundation) year 1 (BSC/CSE1)
 H603: BSc Computer Systems Engineering year 1 (BSC/CSENG)
 H6W3: BSc Electronic Engineering and Music year 1 (BSC/EEM)
 H611: BSc Electronic Engineering year 1 (BSC/ELE)
 H63B: BSc Electronic Engineering (4yr with Incorp Foundation) year 1 (BSC/ELE1)
 H661: MEng Control and Instrumentation Engineering year 1 (MENG/CIE)
 H660: MEng Critical Safety Engineering year 1 (MENG/CRSEN)
 H619: MEng Computer Systems Engineering (with International Exper) year 1 (MENG/CSEIE)
 H601: MEng Electronic Engineering (4 yrs) year 1 (MENG/EE)