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
|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.
- Linear Differential Equations [1 lecture]
- Linear constant coefficient Differential Equations [3 lectures]
- Second order linear constant coefficient differential equations, forcing and damping [2 lectures]
- Definition, simple transforms, properties, inverse and shift theorem [3 lectures]
- Solution of ODEs [3 lectures]
- 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]
Information for Visiting Students
|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?
Course Delivery Information
|Academic year 2019/20, Available to all students (SV1)
|Learning and Teaching activities (Further Info)
Lecture Hours 20,
Seminar/Tutorial Hours 5,
Formative Assessment Hours 2,
Summative Assessment Hours 10,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
|Assessment (Further Info)
|Additional Information (Assessment)
||Written Exam 80%:
Students must pass both the Exam and the Coursework. The exam is made up of three 20 mark compulsory questions and a compulsory multiple choice section. The coursework comprises 3 pieces of work of which all must be submitted.
||Hours & Minutes
|Main Exam Diet S1 (December)||Engineering Mathematics 2A||1:30|
|Resit Exam Diet (August)||Engineering Mathematics 2A||1:30|
On completion of this course, the student will be able to:
- An ability to solve important classes of first- and second- order differential equation problems.
- An ability to interpret solutions and draw conclusions from them.
- A competence in using Laplace transform tables, including the shift theorems, with ability to solve initial value problems for ODEs.
- Familiarity with methods for treating coupled sets of ODEs.
- An ability to determine Fourier series for some basic periodic functions, with some appreciation of how a series converges to a periodic waveform. A basic understanding of the complex Fourier series. An Introduction to Partial Differential Equations.
|Students are expected to own a copy of :|
1. Modern Engineering Mathematics by Glyn James, Prentice Hall,
2. Advanced Modern Engineering Mathematics by Glyn James,
Prentice Hall, ISBN 978-0-273-71923-6
|Graduate Attributes and Skills
|Keywords||Ordinary differential equations,Partial differential equations,Laplace transforms,Fourier series
|Course organiser||Prof David Ingram
Tel: (0131 6)51 9022
|Course secretary||Mrs Lynn Hughieson
Tel: (0131 6)50 5687