Fundamental electronic concepts and rules to be able to build and design a wide range of electronic devices. Topics include phase and frequency response, transistors, operational amplifiers, filters, and other analog circuits.
Introduction to the mathematics of finite systems. Logic; Boolean algebra; induction and recursion; sets, functions, relations, equivalence, and partially ordered sets; elementary combinatorics; modular arithmetic and the Euclidean algorithm; group theory; permutations and symmetry groups; graph theory.
Probability and its applications at the calculus level. Probability, combinatorial probability, random variables, distribution functions, important probability distributions, independence, conditional probability, moments, covariance and correlation, limit theorems.
Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.
Principles of electricity and magnetism, wave motion, optics, and modern physics.
C and C++ for intermediate to advanced programming. Covers low-level programming techniques, object-oriented class design, and the use of class libraries. Topics include pointers, dynamic memory allocation, polymorphism, overloading, inheritance, templates, collections, exceptions, and others.
Calculus of functions of more than one independent variable. Topics include the analytic geometry of the graphs of either scalar or vector-valued functions, limits, continuity, partial derivatives and their applications, including optimization, multiple integrals, including line and surface integrals, and the big three theorems of Green, Stokes, and Gauss.
Basic principles of mechanics as summarized in Newton’s laws of motion and their related concepts, used in conjunction with calculus. Topics include classical mechanics, waves, and fluids.