# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2023/2024

### Timetable information in the Course Catalogue may be subject to change.

 University Homepage DRPS Homepage DRPS Search DRPS Contact
DRPS : Course Catalogue : School of Engineering : School (School of Engineering)

# Undergraduate Course: Engineering Mathematics 2A (SCEE08009)

 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 Ordinary differential equations, transforms and Fourier series with applications to engineering. Linear differential equations, homogeneous and non-homogeneous equations, particular solutions for standard forcings; Laplace transforms and applications; standard Fourier series, half range sine and cosine series, complex form; convergence of Fourier series, differentiation and integration of Fourier series. Introduction to Partial Differential Equations. Course description Differential Equations: - Linear Differential Equations [1 lecture] - Linear constant coefficient Differential Equations [3 lectures] - Second order linear constant coefficient differential equations, forcing and damping [2 lectures] Laplace Transforms: - Definition, simple transforms, properties, inverse and shift theorem [3 lectures] - Solution of ODEs [3 lectures] Fourier Series: - Fourier series, coefficients, even/odd functions, linearity, convergence [2 lectures] - Full range, half-range [2 lectures] - Integration and differentiation of Fourier series [1 lecture] Partial Differential Equations: - Wave equation, Heat or diffusion equation, Laplace equation [1 lecture] - Solution of wave equation, D'alembert solution, separated solution [2 lectures]
 Pre-requisites It is RECOMMENDED that students have passed Mathematics for Science and Engineering 1a (MATH08060) AND Mathematics for Science and Engineering 1b (MATH08061) Co-requisites 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 978-0-273-73413-X 2. Advanced Modern Engineering Mathematics by Glyn James, Prentice Hall, ISBN 978-0-273-71923-6
 Pre-requisites Mathematics units passed equivalent to Mathematics for Science and Engineering 1a and Mathematics for Science and Engineering 1b, or Advanced Higher Mathematics (A or B grade) or Mathematics and Further mathematics A-Level passes (A or B grade). High Demand Course? Yes
 Academic year 2023/24, Available to all students (SV1) Quota:  None Course Start Semester 1 Timetable Timetable Learning and Teaching activities (Further Info) Total Hours: 100 ( Lecture Hours 10, Seminar/Tutorial Hours 5, Feedback/Feedforward Hours 2, Summative Assessment Hours 1.5, Revision Session Hours 1, Programme Level Learning and Teaching Hours 2, Directed Learning and Independent Learning Hours 78 ) Assessment (Further Info) Written Exam 50 %, Coursework 50 %, Practical Exam 0 % Additional Information (Assessment) Written Exam 50%: Coursework 50%: Students must pass the exam and the course overall. If you fail a course you will be required to resit it. You are only required to resit components which have been failed. Feedback Not entered Exam Information Exam Diet Paper Name Hours & Minutes Main Exam Diet S1 (December) 1:30 Resit Exam Diet (August) 1:30
 On completion of this course, the student will be able to: Calculate the solution of engineering problems described by linear, constant coefficient first and higher order differential equationsAnalyse and interpret the solutions to draw conclusions on the system behaviourApply the Laplace transform to solve systems of linear, constant coefficient differential equations and to evaluate the stability of dynamic systemsUse Fourier series analysis to approximate periodic functions, solve differential equations and analyse the response of systems to periodic forcing Distinguish between ordinary and partial differential equations and solve special cases of the wave equation
 Students are expected to own a copy of : 1. Modern Engineering Mathematics by Glyn James, Prentice Hall, ISBN 978-0-273-73413-X 2. Advanced Modern Engineering Mathematics by Glyn James, Prentice Hall, ISBN 978-0-273-71923-6
 Graduate Attributes and Skills Not entered Keywords Ordinary differential equations,Partial differential equations,Laplace transforms,Fourier series
 Course organiser Dr Daniel Friedrich Tel: (0131 6)50 5662 Email: D.Friedrich@ed.ac.uk Course secretary Mr Tom Lawford-Groves Tel: (0131 6)50 5687 Email: t.lawford-groves@ed.ac.uk
 Navigation Help & Information Home Introduction Glossary Search DPTs and Courses Regulations Regulations Degree Programmes Introduction Browse DPTs Courses Introduction Humanities and Social Science Science and Engineering Medicine and Veterinary Medicine Other Information Combined Course Timetable Prospectuses Important Information