# Course finder ## Semester 1

### Engineering Mathematics 2A (SCEE08009)

Engineering

SCE

10

2

2022/2023

##### 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%

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