[The Indefinite Integral]: Integration techniques including integration of standard functions, substitution, by parts and using partial fractions. [The Definite Integral]: Riemann sums, and the Fundamental theorem of calculus. Application of integration to finding [areas, lengths, surface areas, volumes and moments of inertia]. [Numerical Integration]:Trapezoidal rule, Simpson's rule, other Newton-Cotes formulae and Gaussian quadrature. [Ordinary Differential Equations]: first order including variables separable and linear types. Linear second order equations with constant coefficients. Numerical solution by Runge-Kutta. [Functions of several variables and partial differentiation.] Fitting a line or curve to a set of data points. Matrix representation of and solution of systems of linear equations. Matrix algebra, invertibility, determinants