MATH1011 Summer 2017/18

Problem sets

	Content
Set 1	\(\mathbb{R}^n\), multivariable and vector valued functions, visualisations	solutions
Set 2	Limits of functions of one variable, vector valued functions, and functions of two variables, continuity	solutions
Set 3	Differentiation of functions of one variable, L’hospital’s rule, inverse functions	solutions
Set 4	Differentiation of vector-valued functions, motion in space	solutions
Set 5	Partial derivatives, tangent vectors, tangent planes	solutions
Set 6	Chain rule for partial derivatives, directional derivatives, Jacobian	solutions
Set 7	Maxima and minima	solutions
Set 8	Integration techniques	solutions
Set 9	Riemann sums and integrals	solutions
Set 10	Double integrals	solutions
Set 11	Triple integrals and centre of mass	solutions
Set 12	Change of coordinates in double and triple integrals	solutions
Set 13	Parametrizations, path and surface integrals	solutions
Set 14	Path integrals of vector fields	solutions
Set 15	Differential equations	solutions
Set 16	Second-order ODE	solutions