Biology
Chemistry
Computer Science
Engineering
Humanities and Social Sciences         
Mathematics
Physics        

Biology
Biology 52 - Introduction to Biology
Topics in the biology of molecules, cells, organisms, and populations. Prerequisites: one semester of general chemistry and one semester of calculus. 3 credit hours.

Chemistry
General Chemistry 21-22
Stoichiometry, kinetic theory, phase behavior, equilibrium, bonding, thermodynamics, kinetics, and descriptive chemistry. 3 credit hours per semester.

Chemistry Laboratory 25-26
Laboratory taken concurrently with Chemistry 21-22. 1 credit hour per semester.

Computer Science
Computer Science 5 - Introduction to Computer Programming
Introduction to programming. Problem solving, algorithms, simple and structured data types, data representation, flow-control structures, subroutines, and program design. Introduction to objects. Specification, testing, debugging, and documentation. Use of a programming environment, operating system, and network. 3 credit hours.

Engineering
Engineering 59 - Introduction to Engineering Systems
An introduction to the concepts of modern engineering, emphasizing modeling, analysis, synthesis, and design. Applications to chemical, mechanical, and electrical systems. Prerequisites: sophomore standing and concurrent registration in Physics 51. 3 credit hours.

Humanities and Social Sciences
Humanities and Social Sciences 1 - Introduction to the Humanities and Social Sciences
An introduction to college level studies in the humanities and social sciences focusing on the development of essential reading, critical thinking, research, and writing skills. Reading assignments combine fiction and nonfiction works addressing interdisciplinary themes. 4 credit hours.

Humanities and Social Sciences 2 - Introduction to the Humanities and Social Sciences
Topical and interdisciplinary courses in the humanities and social sciences that build on the methods and skills taught during the first semester. 3 credit hours.

Mathematics
Mathematics 11 - Calculus of One Real or Complex Variable
Complex numbers, limits, formal epsilon-delta limit definition, derivatives and differentiation rules; proofs by contradiction and induction; infinite series; integration; applications of the calculus; introduction to calculus of complex-valued functions. Prerequisite: One year of calculus at the high school level. 2 credit hours.

Mathematics 12 - Introduction to Linear Algebra I/Dynamical Systems
Matrix representation of systems of equations, matrix operations, determinants; linear independence and dependence, bases; inner products, eigenvalues and eigenvectors; examples of discrete dynamical systems, fixed points, chaos, stability, bifurcations. Prerequisite: Math 11 or the equivalent. 2 credit hours.

Mathematics 13 - Differential Equations I
Modeling physical systems, first-order ordinary differential equations, existence; uniqueness and long-term behavior of solutions; bifurcations, approximate solutions; second-order ordinary differential equations and their properties, applications; first-order systems of ordinary differential equations. Prerequisite: Math 11 or the equivalent. 1.5 credit hours.

Mathematics 14 - Multivariable Calculus I
Vectors, dot and cross products; vector descriptions of lines and planes; partial derivatives and differentiability; gradients and directional derivatives; chain rule; higher order derivatives and Taylor approximations; double and triple integrals in rectangular and other coordinate systems; line integrals; vector fields, curl, and divergence; introduction to Green's theorem, divergence theorem and Stoke's theorem. Prerequisite: Math 11. 1.5 credit hours.

Mathematics 61 - Multivariable Calculus II
Review of basic multivariable calculus; optimization and the Second Derivative Test; constrained optimization using Lagrange multipliers; conservative and nonconservative vector fields; Green's theorem; parametrized surfaces and surface integrals; divergence theorem, outline of proof and applications; Stoke's theorem, outline of proof and applications; unification of major vector theorems. Prerequisite: Math 14. 1.5 credit hours.

Mathematics 62 - Introduction to Probability and Statistics
Sample spaces, events, axioms for probabilities; conditional probabilities and Bayes' theorem; random variables and their distributions, discrete and continuous; expected values, means and variances; covariance and correlation; law of large numbers and central limit theorem; point and interval estimation; hypothesis testing; chi-square goodness of fit; simple linear regression; introduction to analysis of variance; applications to analyzing real data sets. Prerequisite: Math 11. 1.5 credit hours.

Mathematics 63 - Linear Algebra II
Review of basic linear algebra; vector spaces; row and column spaces of matrices, rank-nullity theorem; orthogonal bases and Gram-Schmidt procedure; orthogonal expansion and Fourier coefficients; linear transformations; change of basis and similarity; eigenvalues, eigenvectors and characteristic polynomials; diagonalization of symmetric matrices; applications of eigenvalues to systems of ordinary differential equations. Prerequisite: Math 12. 1.5 credit hours.

Mathematics 64 - Differential Equations II
Review of basic ordinary differential equations, especially systems; undriven linear systems; orbital portraits; stability and conservative systems; Lyapunov functions; cycles and long-term behavior of solutions; Sturm-Liouville problems; series solutions near ordinary and regular singular points; Bessel functions; chaos. Prerequisite: Math

Physics
Physics 23-24 - Mechanics and Wave Motion
An introduction to special relativity, kinematics, dynamics, linear and angular momentum, work and energy, harmonic and central force motion, waves and sound, and quantum mechanics. 2 credit hours (Phys. 23). 3 credit hours (Phys. 24).

Physics 28 - Physics Laboratory
Experiments in mechanics using digital electronic measuring devices. Corequisite with Physics 24. 1 credit hour.

Physics 51 - Electromagnetic Theory and Optics
An introduction to electricity and magnetism leading to Maxwell's electromagnetic equations in differential and integral form. Selected topics in physical optics. Prerequisites: Physics 23-24 and Mathematics 14. 3 credit hours.

Physics 53 - Electricity and Optics Laboratory.
Electrical and magnetic techniques in such measurements as the Hall effect and the earth's magnetic field. Introduction to electronics, including use of the oscilloscope and measurements on RC and RCL circuits. Experiments in physical optics, including studies of diffraction patterns. Prerequisite: Physics 51 or concurrently. 1 credit hour.