INTRODUCTION TO MATHEMATICS AND STRUCTURES
SHE Level  2 
SCQF Credit Points  20.00 
ECTS Credit Points  10.00 
Module Code  M2K224028 
Module Leader  Jill Sutcliffe 
School  School of Computing, Engineering and Built Environment 
Subject  Civil Engineering and Environmental Management 
Trimesters 

Summary of Content
Basic Algebra, Coordinate Geometry, Trigonometry, Calculus, Matrices, basic Statistics and Structural Mechanics.
Syllabus
Algebra: Application of algebraic techniques to the manipulation of mathematical expressions including indices, trigonometrical, logarithmic and exponential functions; transposition of formulae and equations. Trigonometry: Radian measure, trigonometrical identities, sine and cosine rules; selected examples of solution of trigonometrical equations; resultants and determinants of force vectors. Coordinate Geometry: Determination of equations of straight lines and curves, equations of tangents and normals, determination of points of intersection. Matrices: Addition, subtraction, multiplication; inverse of a matrix, determinants; solution of equations. Calculus: First and second order derivatives of algebraic, trigonometrical, exponential and logarithmic functions including function of a function, product and quotient rules; applications to problems involving gradients of curves, rates of change and optimisation; standard integrals involving algebraic, trigonometrical and exponential functions; applications to indefinite and definite integrals. Statistics: Mean, variance and deviation of random variables; normal distribution. Structural Mechanics: Engineers' equation of bending; static equilibrium; deflection of beams including Macaulay's method; shear force and bending moment diagrams, Hooke's law, stressstrain diagrams and Young's Modulus; theory of bending; section properties; Euler buckling of struts.
Learning Outcomes
On completion of this module the student should be able to: manipulate mathematical expressions, formulae and equations by applying the basic rules of algebra differentiate mathematical expressions by using standard rules apply differential calculus to rates of change and maximisation/minimisation problems integrate mathematical expressions by using standard rules.solve problems using the Engineers'/construction' Equation of Bending determine direct, shear and bending stresses on structural elements solve simple beam problems to produce shear force and bending moment diagrams use mathematical techniques to solve engineering/construction problems apply statistical methods and equations to a data set in order to analyse and interpret results, explain variations in the data, or predict future dataNB where appropriate all examples and questions will relate to structures and structural mechanics
Teaching / Learning Strategy
Traditional lectures will be supported by tutorials/seminars/computer laboratories with continuous assessment in the form of coursework/class tests.
Indicative Reading
Croft A and Davidson R, Mathematics for Engineers, 2nd edition, Addison Wesley. 142 Hulse R and Cain J. Structural Mechanics, 2 nd Edition, Palgrave Macmillan, 2000 Hulse R and Cain J. Structural Mechanics: Worked Examples, 1 st Edition, Palgrave Macmillan, 2009.
Transferrable Skills
Critical thinking and problem solving (D1) Independent working (D7) Information retrieval skills (D10) Communication skills, written, oral and listening (D14)
Module Structure
Activity  Total Hours 

Independent Learning (PT)  122.00 
Independent Learning (FT)  110.00 
Assessment (FT)  18.00 
Seminars (FT)  6.00 
Tutorials (PT)  12.00 
Lectures (FT)  42.00 
Seminars (PT)  6.00 
Assessment (PT)  18.00 
Tutorials (FT)  24.00 
Lectures (PT)  42.00 
Assessment Methods
Component  Duration  Weighting  Threshold  Description 

Coursework 2  n/a  15.00  35%  Coursework 2 (problem solving based) 1000 words 
Exam (School)  n/a  70.00  35%  Class test 
Coursework 1  n/a  15.00  35%  Coursework 1 (problem solving based) 1000 words 