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Modules

Mathematical Techniques I

Module code: SPA4121

Credits: 15.0
Semester: SEM1

Contact: Prof Christopher Clarkson

This module develops the mathematical techniques that will be used and built upon throughout the rest of Physics and Astronomy. Topics include vectors and their operations (addition, subtraction, scalar multiplication, dot / cross products); functions of a single variable; single variable calculus (including integration and differentiation); functions of many variables and partial differentiation; Taylor series (including the binomial expansion, and for functions of two variables); Fourier series; proof by induction; properties of complex numbers; hyperbolic functions; integration techniques (e.g. substitution, by parts, partial fractions); applications of integration (e.g. averages of functions, volumes of revolution); multiple integration with applications; Fourier transforms.

Connected course(s): UDF DATA
Assessment: 70.0% Examination, 30.0% Coursework
Level: 4

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