MATH1012 Summer 2017/18

Problem sets

	Content
Set 1	Systems of linear equations, solution by Gaussian elimination	solutions
Set 2	Vector spaces, subspaces, spans	solutions
Set 3	Spanning sets, linear independence, basis and dimension	solutions
Set 4	Subspaces from matrices, rank and nullity	solutions
Set 5	Matrix inverses invertibility and determinants	solutions
Set 6	Linear transformations and their matrix representations	solutions
Set 7	Eigenvalues, eigenvectors and diagonalisation	solutions
Set 8	Improper integrals	solutions
Set 9	Probability	solutions
Set 10	Statistical inference	solutions
Set 11	Sequences and series	solutions
Set 12	Convergence tests for series, series cheat sheet	solutions
Set 13	Fourier series	solutions
Set 14	Fourier series - odd and even functions	solutions
Set 15	Laplace transforms	solutions
Set 16	Laplace transforms of ODE and piecewise functions	solutions