This topic includes: Vectors and the geometry of Space, dot and cross product, equations of lines and planes; Vector Functions, derivatives and integrals of vector functions, velocity and acceleration in space; Partial Derivatives, tangent planes and approximation, chain rule, directional derivatives, maximum and minimum values, Lagrange multipliers; Multiple Integrals, double and triple Integrals, change of variable; Vector Calculus, line integrals, Green's theorem, Curl and Divergence, surface integrals, Stokes and The Divergence theorem.
This topic aims to equip the students with the skills needed to solve mathematical problems in the calculus of several variables,. These provide the mathematical pre-requisites that the student needs for the second and higher year Mathematics topics. The focus is on the application of the mathematical ideas to practical problems.
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