The course begins with a review and knowledge of high school geometry, particularly equations, intersections and gradients of straight lines. This leads into tangents to curves and hence to first principles in Calculus. From there we take on limits of functions in calculus. Differentiation of algebraic functions follows, along with applications to equations of tangents and normal to stationary points. Moreover, differentiation of trigonometric functions is included. Indefinite integration as the inverse of differentiation is also undertaken. To do definite integration, we first take on the trapezium rule along with applications to areas and volumes. The course ends with some work on simple first order differential equations.