Functions of Two Variables, Vectors and Operations, Three Dimensional Geometry, Equations of Planes and Straight Lines, Limits and Continuity, Partial Differentiation, Directional Derivative, Gradient, Higher Derivatives, Linear Approximation Extrema, Line Integrals and Double Integrals. Ordinary Differential Equations: Introduction, Simple Equations, Linear Equations of the First Order, Separable Equations, Applications. Fourier Series and Transforms: Complex Numbers and Operations, Fourier Series, Fourier Transforms, Applications.