This unit consists of 29 lectures on calculus and 10 lectures on probability and distribution theory for continuous random variables. Topics in calculus are vector functions of one variable, limits, continuity, parametric space curves, integrals; arc length, curvature and principal normal, velocity, acceleration; functions of several variables, level surfaces, limits and continuity, partial derivatives; directional derivatives, derivatives as linear transformations, Jacobians, chain rule for scalar and vector-valued functions, inverse and implicit function theorems, Newton's method, implicit differentiation, gradients, normals, tangent planes, linear approximations, unconstrained and... -- Course Website
Instructor: Professor Gordon Royle
Prerequisites: MATH1010 Calculus and Linear Algebra and MATH1020 Calculus, Statistics and Probability
