Undergraduate Course: Engineering Mathematics 2B (SCEE08010)
Course Outline
School  School of Engineering 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 8 (Year 2 Undergraduate) 
Availability  Available to all students 
SCQF Credits  10 
ECTS Credits  5 
Summary  This course is aimed at second year Engineering students :
Multivariate integration, vector calculus and partial differential equations for engineering. Gradient, tangent plane, normals; Scalar and vector fields; divergence and curl; conservative fields and potential; vector differential identities; simple applications from properties of continua and electromagnetism. Repeated multiple integration (change of order of integration); integration in noncartesian coordinates, Jacobian; line integrals (link to potential and work); surface integrals (flux); divergence, Green's and Stokes' theorems; applications and physical interpretations; standard partial differential equations, wave equation, heat equation and Laplace's equation, solution of standard equations, D'Alembert solution for wave equation, separation of variables with Fourier series, Laplace transform methods.

Course description 
Vector Calculus:
 Basic concepts, Transformations [1 lecture]
 Gradient [0.5 lecture]
 Divergence and curl [1.5 lectures]
Integration:
 Double Integrals [3 lectures]
 Line integrals [2 lectures]
 Green's Theorem [1 lecture]
 Surface Integrals [2 lectures]
 Volume Integrals [1 lecture]
 Gauss' Theorem [1 lecture]
 Stokes' Theorem [1 lecture]
PDEs (analytically, no numerical):
 Wave equation, Heat or diffusion equation, Laplace equation
[1 lecture]
 Solution of wave equation, D¿Alembert solution, separated
solutions, Laplace transform [3 lectures]
 Solution of Heat or diffusion equation, separated solutions,
Laplace transform [2 lectures]
 Solution of Laplace equation, separated solutions [2 lectures]

Entry Requirements (not applicable to Visiting Students)
Prerequisites 

Corequisites  
Prohibited Combinations  
Other requirements  None 
Additional Costs  Students are expected to own a copy of :
1. Modern Engineering Mathematics by Glyn James, Prentice Hall,
ISBN 978027373413X
2. Advanced Modern Engineering Mathematics by Glyn James,
Prentice Hall, ISBN 9780273719236 
Information for Visiting Students
Prerequisites  Mathematics units passed equivalent to MSE1A, MSE1B and EM2A 
Course Delivery Information

Academic year 2014/15, Available to all students (SV1)

Quota: None 
Course Start 
Semester 2 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 20,
Seminar/Tutorial Hours 10,
Formative Assessment Hours 2,
Summative Assessment Hours 3.5,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
62 )

Assessment (Further Info) 
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %

Additional Information (Assessment) 
Written Exam 80%:
Practical Exam 0%:
Coursework 20%:
Students must submit a minimum of 4 out of the 5 coursework components to pass.
Students must pass the exam and the course overall.

Feedback 
Not entered 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S2 (April/May)  Engineering Mathematics 2B  1:30   Resit Exam Diet (August)  Engineering Mathematics 2B  1:30  
Learning Outcomes
1. An understanding of vector fields, their divergence and curl.
2. An ability to use the basic vector differential identities.
3. A competence in evaluating repeated and multiple integrals.
4. An understanding of line integrals, their calculation and
relation to the potential of a conservative field.
5. An ability to calculate integrals, such as flux, over simple
curved surfaces.
6. An ability to use the divergence theorem and Stokes's theorem
in simple situations, and a realization of their great
practical importance.
7. An understanding of the importance of the standard partial
differential equations.
8. The ability to solve the standard partial differential
equations using separation of variables and Laplace
transforms.

Reading List
Students are expected to own a copy of :
1. Modern Engineering Mathematics by Glyn James, Prentice Hall,
ISBN 978027373413X
2. Advanced Modern Engineering Mathematics by Glyn James,
Prentice Hall, ISBN 9780273719236

Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  Not entered 
Contacts
Course organiser  Prof David Ingram
Tel: (0131 6)51 9022
Email: David.Ingram@ed.ac.uk 
Course secretary  Miss Lucy Davie
Tel: (0131 6)50 5687
Email: Lucy.Davie@ed.ac.uk 

