Geometric vectors; Vector operations; Scalar products; Orthogonal vectors and projections; Cross product; Equations of lines; Distance between a point and a line and between lines; Equations of planes; Distance from a point to a plane; Euclidean Vector Spaces; Subspaces; Basis and Dimension; Inverse trigonometric functions, Hyperbolic functions and their inverses. Standard integral formulae. Integration by parts. Partial fractions. Applications of integration: volumes of revolution, lengths of curves, surfaces of revolution, moments and centres of mass, work done by a force, mean and RMS values. Parametrized curves. Numerical integration: Trapezoidal Rule, Simpson's Rule. Functions of two... -- Course Website
Prerequisites: 307536 (v.4)<br/> Engineering Mathematics 120<br/> <br/> or any previous version<br/> <br/> <br/><br/> <br/> OR<br/><br/> <br/> 10926 (v.5)<br/> Mathematics 103<br/> <br/> or any previous version
