1.1 determine power series values for common scientific and engineering functions
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Learning outcomes
On successful completion of
this unit a learner will:
Assessment criteria for pass
The learner can:
LO1 Be able to analyse and
model engineering
situations and solve
engineering problems using
series and numerical
methods for the solution of
ordinary differential
equations
1.1 determine power series values for common
scientific and engineering functions
1.2 solve ordinary differential equations using power
series methods
1.3 solve ordinary differential equations using numerical
methods
1.4 model engineering situations, formulate differential
equations and determine solutions to these
equations using power series and numerical
methods
LO2 Be able to analyse and
model engineering
situations and solve
engineering problems using
Laplace transforms
2.1 determine Laplace transforms and their inverse
using tables and partial fractions
2.2 solve first and second order differential equations
using Laplace transforms
2.3 model and analyse engineering systems and
determine system behaviour using Laplace
transforms
LO3 Be able to analyse and
model engineering
situations and solve
engineering problems using
Fourier series
3.1 determine Fourier coefficients and represent
periodic functions as infinite series
3.2 apply the Fourier series approach to the exponential
form and model phasor behaviour
3.3 apply Fourier series to the analysis of engineering
problems
3.4 use numerical integration methods to determine
Fourier coefficients from tabulated data and solve
engineering problems using numerical harmonic
analysis
LO4 Be able to analyse and
model engineering
situations and solve
engineering problems using
partial differential
equations
4.1 solve rates of change problems and problems
involving stationary values using partial
differentiation
4.2 solve partial differential equations using direct
partial integration and separation of variables
methods
4.3 model and analyse engineering situations using
partial differential equations.
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