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Title
Engineering Mathematics
Code
FY009
Level
3
Credit rating
20
Prerequisites
FY001, AS Maths or equivalent.
Type
Double module, weekly delivery over one semester.
Aims
To provide the student with the appropriate mathematical background
required for study in a branch of Engineering.
Learning
outcomes/objectives
On successful completion of the module the students should be able to:
1. understand basic concepts within integral and differential calculus;
2. use integral and derivative tools;
3. choose appropriate calculus methods to solve problems relevant to
engineering applications;
4. add, subtract, multiply and invert matrices.
5. add, subtract and conjugate complex numbers.
Content
Differential calculus

The concept of a derivative at a point on a curve and as a rate of
change.

Derivative of xn and axn .

Exponential and logarithmic functions and their derivatives.

Revision of trigonometric functions and derivatives of sin x, cos x and
tan x.

Sum, product, quotient and chain rules.

Second derivative.

Simple applications: maxima, minima and optimisation; curve
sketching; velocity and acceleration; models of growth and decay.
Integral calculus

The definite integral, areas of plane regions.

Indefinite integration as the reverse of differentiation and the
fundamental theorem of calculus.

Simple examples of integration by substitution.

Engineering applications of integrals as the limits of sums, e.g.
volume, mass, moment of inertia.
Matrix methods

Notation, addition, subtraction, inversion, determinants.
Complex numbers

Argand diagrams, conjugation, algebra, polar form, de Moivre’s
theorem, Engineering applications.
Teaching and learning
strategies
Lectures and workshops 5 hours per week. The course will be based
around the text "Mathematics for Engineers" by A Croft and R Davidson,
Addison Wesley. Students will work through the relevant sections of the
book under guidance of the tutors. The treatment will be informal and
additional learning support will be provided where required through the
tutorial system. Taught material will emphasise the use of mathematics to
model and solve problems. Suitable use of calculators will be made.
Learning support
Timetabled tutorial sessions
Assessment
Two tests under examination conditions, 50% (LO1, 2, 3,4 & 5)
End of semester examination 50% (LO1, 2, 3,4 & 5)
Brief description of
module and/or aims
Area examination
boards
Foundation Year Area Examination Board.
Module team/authors
(Dr D H Lawrence) / Mr Ian Watts
Semester offered
2
Date of first approval
July 2000.
Date of last revision
April 2012.
Date of approval of
this version
May 2012.
Version number
3
Replacement for
previous module
FY009.
Field for which module Electrical & Mechanical Engineering Routes.
is acceptable and
status in that field
Course(s) for which
module is acceptable
and status in course
Engineering Foundation Year.
School Home
School of Computing, Engineering and Mathematics.
External examiner
Dr. Chak W. Cheung.
Compulsory - Electrical and Mechanical routes, Home and EU + English
Language.