FOUNDATION MATHEMATICS
SHE Level  1 
SCQF Credit Points  10.00 
ECTS Credit Points  5.00 
Module Code  M1H326751 
Module Leader  Faridon Amdjadi 
School  School of Computing, Engineering and Built Environment 
Subject  Mechanical Engineering 
Trimester 

Summary of Content
This module aims to prepare GA students to take up level 1 mathematics module, by studying the following mathematical concepts: Basic algebraic manipulation, elementary functions, introduction to trigonometry, and introduction to calculus
Syllabus
Basic Algebra: Application of algebraic techniques to the manipulation of mathematical expressions including indices, arithmetic of algebraic fractions, simplifying algebraic fractions, factorisation, completing the square, linear equations, quadratic equations, simultaneous linear equations 2 by 2 systems, polynomial division. Functions: Definition of a function. understand algebraic functions (linear, parabolic); equations and graphs of straight lines and parabolas; logarithms and its laws, introduction to logarithmic and exponential functions Trigonometry: Angles, radian measure, trigonometric identities, solutions of trigonometric equations, trigonometric functions. Differentiation: Definition of the derivative of a function ; interpretation of the derivative of a function; describe differentiation table; determination of the derivatives of x^n , n integer or fractional; derivatives of standard functions; product, quotient and chain rules. Integration: Introduction to indefinite integration of simple functions; sandard integrals involving algebraic, trigonometric, exponential and logarithmic functions; integration by substitution, evaluation of simple definite integrals
Learning Outcomes
On successful completion of this module, the student should be able to:1. Algebraically manipulate basic mathematical expressions;2. Solve single and simultaneous linear equations, quadratic equations; 3. Describe the Cartesian coordinate system, and use it to represent lines and curves sketch the graphs of basic algebraic equations including those of the straight line, parabola;4. Understand degree and radian measures (angular measures), trigonometrical ratios and trig identities and solve trigonometrical equations;5. Differentiate simple functions; obtain indefinite and definite integrals of basic functions;
Teaching / Learning Strategy
Traditional lectures will be supported by tutorials. Lectures will deliver the module syllabus and tutorials used for developing mathematical manipulation skills for exploring applications (which can be expected to continue into private study). Directed study will require the undertaking of specified tutorial material. The continuous assessment will be in the form of online tests, using Mobius (Maple TA) and feedback will be given immediately after completion of each test.
Indicative Reading
567 Books and articles: CROFT A, AND DAVISON R: Mathematics for Engineers, 4th edition, Addison Wesley, 2014. STROUD: Engineering Mathematics, ISBN 9781352010275, Macmillan Education UK, 8th Edition 2020. CROFT A, AND DAVISON R: Foundation Maths, 7th Edition HOWARD ANTON, IRL C. BIVENS AND STEPHEN DAVIS: Calculus, Wiley & Sons. ISBN: 978470398746, 2010. 567 Online sources: <http://www.mathcentre.ac.uk/> <http://www.mathtutor.ac.uk/> <http://tutorial.math.lamar.edu/> <https://www.intmath.com/> <https://www.khanacademy.org/math>
Transferrable Skills
By the end of this module students will have gained competence in the following key areas: D1 Specialist knowledge and application D2 Critical thinking and problem solving D3 Critical analysis D4 Communication skills, written, oral and listening D5 Numeracy D7 Computer literacy D8 Self confidence, self discipline & self reliance (independent working) D9 Awareness of strengths and weaknesses
Module Structure
Activity  Total Hours 

Independent Learning (FT)  54.00 
Tutorials (FT)  24.00 
Lectures (FT)  12.00 
Assessment (FT)  10.00 
Assessment Methods
Component  Duration  Weighting  Threshold  Description 

Course Work 01  n/a  100.00  40%  Combination of 4 class tests 