UK Advanced Level Mathematics Examinations with a normal minimum attainment of a Grade C on the main Mathematics A - Level. Any generally accepted equivalent of this content and attainment is regarded as an acceptable prerequisite.
OverviewDifferential Equations: Solving differential equations, separable equations, linearity, homogeneity, first and second order equations, particular integrals. Boundary and initial values, auxiliary equations with complex roots, coefficients and terms, examples from physics.
Partial Derivatives: functions of two variables , partial derivatives, directional derivatives, functions many variables, higher derivatives, function of a function, implicit differentiation, differentiation of an integral w.r.t a parameter, Taylor expansions, stationary points.
Elementary multivariate Calculus: the chain rule, Multiple integrals, integrals over rectangles/irregular areas in the plane, change of order of integration.
Polar Coordinates: Cylindrical polar coordinates in two and three dimensions, integrals, spherical coordinates, solid angle.
Introduction to Vector Calculus : Gradients, Divergence, Gauss's theorem, Curl, Stokes' theorem.
24 lecture hours and 12 hours workshop sessions.
Total study time: 150 hours, including contact hours and 114 independent learning hours.
This is not available as a wild module.
Method of assessment
Coursework 30% comprising two in course test and weekly home work involving problem solving, and two one hour class test. Final (written, unseen, 2hrs) exam 70%.
Engineering Mathematics (7th Ed.); Stroud, K.A. & Booth, D.J. (2013)