Download UNIT TITLE: Engineering Mathematics CREDIT POINTS: 20 UNIT

UNIT TITLE: Engineering Mathematics
CREDIT POINTS: 20
UNIT CODE: ACO400
FHEQ LEVEL: 4
SCHOOL: Media Arts and Technology
UNIT DESIGNATION: Traditional
Programme group: Television and Sound
Unit delivery model: CD
Max & Min Student No: N/A
TOTAL STUDENT WORKLOAD
Students are required to attend and participate in all the formal scheduled sessions for the
unit. Students are also expected to manage their directed learning and independent study
in support of the unit.
PRE-REQUISITES AND CO-REQUISITES: None
UNIT DESCRIPTION
Mathematics is an essential underpinning for all forms of engineering. This unit aims to
provide all students with the mathematical underpinnings for an engineering degree, and
particularly to underpin specialist units at later stages of the course.
LEARNING OUTCOMES
On successful completion of the unit, students should be able to:
Knowledge and Understanding
K1
Select and appropriately apply a range of core mathematical processes and
techniques required in engineering.
Cognitive Skills
C1
Use mathematical models to predict the nature and behaviour of physical systems in
engineering applications.
Practical and Professional Skills
P1
Investigate applied mathematical problems in the field of engineering.
Transferable and Key Skills
T1
Effectively communicate technical information in written formats.
AREAS OF STUDY
Algebra: Algebraic expressions, powers, fractions, division of one fraction with another,
Expressions and equations, Graphs, Linear equations and simultaneous linear equations,
Partial fraction, and logarithms.
Trigonometry: Angles, trigonometric identities and formulas.
Complex numbers: The symbol j, powers of j, complex numbers, equal complex numbers,
graphical addition and representation of a complex number, polar and exponential form of
a complex number.
Vectors, Matrices and Determinants: introduction to vectors, scalar and vector product of
two vectors, angle between two vectors, equal matrices, addition and subtraction of
matrices, multiplication of matrices, transpose of a matrix, inverse of a square matrix,
determinants, and simultaneous equations in three unknowns.
Series: Sequences, arithmetic, geometric, infinite series, series of powers of the natural
numbers, convergent and divergent series.
Differentiation: Introduction to differentiation, derivatives of powers of x, differentiation
of polynomials, second derivatives, differentiation of products of functions and of a quotient
of tow functions, functions of function, differentiation applications, partial differentiation
and applications of differentiations.
Integration: Constant of integration, standard integrals, integration of polynomial
expressions, functions of a linear function of x, integration by partial fractions, area under
curves, integration as a summation, and its applications, and approximate integration.
First and second -order differential equations: Formation of differential equations,
solution of differential equations, homogenous equations, and Bernoulli’s equation.
Statistics: Arrangement data, histograms, set of data, dispersion, mean, median and mode,
standard deviation and standard error. Measures of distribution, normalised distribution,
skewed and bipolar distribution.
Curves and curve fitting, and polar coordinates systems: Standard curves, asymptotes,
curve fitting, method of least squares, polar coordinates, and polar curves.
LEARNING AND TEACHING STRATEGY
Small-group tutorials will be used to discuss underlying concepts and example problems
related to the field of study, discuss practical applications of the concepts and to identify
areas that need further group explanation.
This will be reinforced and extended by a range of self-study materials, such as tutorprepared example problems, and the directed study of appropriate texts.
There will also be regular directed learning on the key topics to allow students to gain
regular feedback, and build confidence in, the understanding and skills they are learning.
ASSESSMENT STRATEGY
To assist learning, the assessment process is designed to provide the student with timely
and regular formative and summative feedback.
The in-class timed assessment consists of two 50 minute tests that will assess each of the
major areas of study via a number of problem-based questions. Students will be provided
with a formula sheet during the tests. Students will prepare for these tests by receiving
regular formative feedback on typical questions in the tutorial sessions.
Students will be given brief problems as directed learning throughout the course, and
present the solution in class in the form of a short written report. Students will be provided
with in class formative feedback for these solutions. Each student will then investigate a
more detailed mathematical problem from a given choice of topics relevant to their field of
study for their second assessment, and will use feedback from the directed learning to help
them formulate their final report for this problem.
ASSESSMENT
AE1
weighting:
assessment type:
length/duration:
online submission:
grade marking:
anonymous marking:
AE2
weighting:
assessment type:
length/duration:
online submission:
grade marking:
anonymous marking:
50%
In-class tests
2 x 50 minutes
No
Yes
Yes
50%
Report
Maximum 1500 words
Yes
Yes
Yes
AGGREGATION OF MARKS
The marks for each element of assessment will be aggregated to give an overall mark for
the unit.
RE-ASSESSMENT ARRANGEMENTS
Re-assessment for the in-class tests will be offered in the normal university resit period in
the form of a single combined test. Similar but not identical theoretical problems will be
set for the report re-assessment.
Unit Author: Dr Haydar Aygun
Unit History:
Unit Approved/Year Implemented/Code
April 2015
2015/16
ACO400