Course finder
Semester 1
Engineering Mathematics 2A (SCEE08009)
Subject
Engineering
College
SCE
Credits
10
Normal Year Taken
2
Delivery Session Year
2023/2024
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).
Course 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]
Assessment Information
Written Exam 50%, Coursework 50%, Practical Exam 0%
Additional Assessment Information
Written Exam 50%: Coursework 50%: The School has a 40% Rule for 1st and 2nd year courses, i.e. you must achieve a minimum of 40% in coursework and 40% in written exam components, as well as an overall mark of 40% to pass a course. If you fail a course you will be required to resit it. You are only required to resit components which have been failed.
view the timetable and further details for this course
Disclaimer
All course information obtained from this visiting student course finder should be regarded as provisional. We cannot guarantee that places will be available for any particular course. For more information, please see the visiting student disclaimer: