Module IEA1001:
Mathematics 1
Module Facts
Run by School of Computer Science and Electronic Engineering
10 Credits or 5 ECTS Credits
Semester 1
Organiser: Mr Derek Holland
Overall aims and purpose
To build confidence in the important mathematical ideas and processes needed in Engineering.
Course content
•Arithmetic: Manipulation of integer and fractional formulae. Decimal expansions. Approximations. Significant figures. Operator precedence.
•Algebra: Powers and percentages. Scientific notation. Calculation of and simplification of algebraic formulae. Calculations with simple scientific formulae.
•Functions: Evaluation and graphs. Sine, Cosine and exponential function. Logarithms.
•Solution of Simultaneous equations: Solution of two coupled linear equations. One linear equation and one quadratic equation.
•Partial Fractions: Proper and improper fractions. Polynomial division. Partial Fractions.
 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. (E1)
Learning outcomes mapped to assessment criteria
threshold 40% 
good 60% 
excellent 70% 


Correctly use the fundamental rules of arithmetic. 
Demonstrate an appropriate level of technical skill in the manipulation of mathematical formulae according to the rules and algorithms appropriate to their use.  Demonstrate a secure understanding of mathematical procedures, interpreting instructions correctly and evaluating according to appropriate procedures  Demonstrate a full understanding of all the course content and ability to perform procedures and calculations in its implementation. 
Manipulate algebraic expressions with confidence. 
Demonstrate an appropriate level of technical skill in the manipulation of mathematical formulae according to the rules and algorithms appropriate to their use.  Demonstrate a secure understanding of mathematical procedures, interpreting instructions correctly and evaluating according to appropriate procedures  Demonstrate a full understanding of all the course content and ability to perform procedures and calculations in its implementation 
Manipulate algebraic fractions. 
Demonstrate an understanding of mathematical concepts by attempting to carry out the correct mathematical calculations according to instruction.  Demonstrate a secure understanding of mathematical procedures, interpreting instructions correctly and evaluating according to appropriate procedures  Demonstrate a full understanding of all the course content and ability to perform procedures and calculations in its implementation 
Understand and use functions. 
Demonstrate an appropriate level of technical skill in the manipulation of mathematical formulae according to the rules and algorithms appropriate to their use.  Demonstrate a secure understanding of mathematical procedures, interpreting instructions correctly and evaluating according to appropriate procedures  Demonstrate a full understanding of all the course content and ability to perform procedures and calculations in its implementation 
Solve simple systems of simultaneous equations. 
Demonstrate an understanding of mathematical concepts by attempting to carry out the correct mathematical calculations according to instruction.  Demonstrate a secure understanding of mathematical procedures, interpreting instructions correctly and evaluating according to appropriate procedures  Demonstrate a full understanding of all the course content and ability to perform procedures and calculations in its implementation 
Assessment Methods
Type  Name  Description  Weight 

Examination  60  
Inclass tests  40 
Teaching and Learning Strategy
Hours  

Lecture  2 x 2 hour lectures over 12 weeks 
48 
Private study  Self Study 
52 
Transferable skills
 Numeracy  Proficiency in using numbers at appropriate levels of accuracy
 Exploring  Able to investigate, research and consider alternatives
 Information retrieval  Able to access different and multiple sources of information
Subject specific skills
 Solve problems logically and systematically;
 Access and synthesize information and literature sources;
 Analyse and display data using appropriate methods and mathematical techniques;
Pre and Corequisite Modules
Prerequisite of:
Courses including this module
Compulsory in courses:
 W3H6: BA Music and Electronic Engineering year 1 (BA/MEE)
 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)