This lecture, part of the Fourier Series and PDEs first year course, begins by defining periodic, odd and even functions. Then it presents some properties of such functions before going on to show how we can use the orthgonality of sines and cosines to calculate the Fourier coefficients, leading to the idea of Fourier Sine and Fourier Cosine Series.

You can watch many other student lectures via our main Student Lectures playlist (also check out specific student lectures playlists):    • Oxford Mathematics Student Lectures -...  

All first and second year lectures are followed by tutorials where students meet their tutor in pairs to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.