Undergraduate Course: Mathematics for Science and Engineering 2a (MATH08069)
Course Outline
School  School of Mathematics 
College  College of Science and Engineering 
Course type  Standard 
Availability  Not available to visiting students 
Credit level (Normal year taken)  SCQF Level 8 (Year 2 Undergraduate) 
Credits  10 
Home subject area  Mathematics 
Other subject area  None 
Course website 
None 
Taught in Gaelic?  No 
Course description  Ordinary differential equations, transforms and Fourier series with applications to engineering. Linear differential equations, homogeneous and nonhomogeneous 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. 
Course Delivery Information

Delivery period: 2013/14 Semester 1, Not available to visiting students (SS1)

Learn enabled: Yes 
Quota: None 
Web Timetable 
Web Timetable 
Course Start Date 
16/09/2013 
Breakdown of Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 10,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
64 )

Additional Notes 
Students must pass exam and course overall.

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

Exam Information 
Exam Diet 
Paper Name 
Hours:Minutes 


Main Exam Diet S1 (December)  Mathematics for Science and Engineering 2a (MATH08069)  1:30    Resit Exam Diet (August)  Mathematics for Science and Engineering 2a (MATH08069)  1:30   
Summary of Intended Learning Outcomes
1. An ability to solve important classes of first and secondorder differential equation problems.
2. An ability to interpret solutions and draw conclusions from them.
3. A competence in using Laplace transform tables, including the shift theorems, with ability to solve initial value problems for ODEs.
4. Familiarity with methods for treating coupled sets of ODEs.
5. An ability to determine Fourier series for some basic periodic functions, with some appreciation of how a series converges to a periodic waveform.
6. A basic understanding of the complex Fourier series. 
Assessment Information
See 'Breakdown of Assessment Methods' and 'Additional Notes' above. 
Special Arrangements
None 
Additional Information
Academic description 
Not entered 
Syllabus 
Differential Equations :
 Linear Differential Equations [1 lecture]
 Linear constant coefficient Differential Equations [3 lectures]
 Numerical Methods [1 lecture]
 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 [4 lectures]
Fourier Series :
 Fourier series, coefficients, even/odd functions, linearity, convergence [3 lectures]
 Full range, halfrange [2 lectures]
 Integration and differentiation of Fourier series [1 lecture] 
Transferable skills 
Not entered 
Reading list 
Students are expected to own a copy of :
Modern Engineering Mathematics by Glyn James, Prentice Hall
Advanced Modern Engineering Mathematics by Glyn James, Prentice Hall 
Study Abroad 
Not entered 
Study Pattern 
Not entered 
Keywords  mse2a 
Contacts
Course organiser  Dr Noel Smyth
Tel: (0131 6)50 5080
Email: N.Smyth@ed.ac.uk 
Course secretary  Miss Denise Grassick
Tel: (0131 6)50 5059
Email: Denise.Grassick@ed.ac.uk 

