Formal logic, proof techniques, recurrence relations, sets, combinatorics, relations, functions, algebraic and graph structures, finite-state machines.
Planes, lines, and curves in three dimensions, differential calculus of several variables, multiple integrals, introduction to vector calculus.
First order equations, second and nth order linear equations, series solutions, solution by Laplace transform, systems of linear differential equations.
Vectors in two and three dimensions, techniques of integration, infinite series, polar coordinates, surfaces in three dimensions.
Concepts of electric and magnetic fields, atomic description of matter to describe polarization, fields produced by charge distributions, potential, electrical circuits, magnetic forces, induction, Maxwell’s equations and electromagnetic radiation, an introduction to waves and interference.