MT2117 Advanced calculus (half course)
This course will be examined for the last time in May/June 2016. There will be no resit after this examination.
May not be taken with MT3095 Further mathematics for economists.
Prerequisites (applies to degree students only)
Either MT1174 Calculus orboth MT105A Mathematics 1 and MT105B Mathematics 2.
This course follows on from Mathematics 1 and Mathematics 2, and continues further the study of calculus techniques and theory. The course will develop further the theory of functions, and will also include some new practical skills, such as how to evaluate multiple integrals, and how to use Laplace transforms to solve differential equations.
Topics included are: Functions of several variables, linear approximations and tangent planes, directional derivatives and the gradient, Edgeworth box and contract curves, concave and convex functions, inverse functions, local inverses and critical points, the Riemann integral, multiple integration, improper integrals, manipulation of integrals, introduction to the Laplace transform.
MT2117 Advanced calculus and MT2118 Advanced linear algebra
Notice is given that these courses will be examined for the last time in May/June 2016. There will be no resit for either course after this examination. The 'note' section in the syllabus has been amended accordingly. These courses are taken on the BSc Mathematics and Economics and the Diploma for Graduates (Mathematics).