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
Limits, derivatives and differentiation rules; partial derivatives; gradients and directional derivatives; introduction to calculus of complex-valued functions; infinite series, Taylor series, convergence tests; fundamental theorem of calculus; techniques of integration; double and triple integrals. Prerequisite: One year of calculus at the high school level. 2 credit hours.

Mathematics 11M - Calculus
With an emphasis on multivariable calculus topics: partial derivatives, gradients and directional derivatives, double and triple integrals. Also, various topics from single variable calculus studied from a more theoretical perspective. Prerequisite: Strong background in high-school calculus (at least one year). 2 credit hours.

Mathematics 12 - Introduction to Linear Algebra
Complex numbers; proofs by contradiction and induction; matrix representation of systems of equations, matrices, operations, determinants, row and column spaces; vectors, dot and cross products; vector descriptions of lines and planes; linear independence and dependence, bases; eigenvalues and eigenvectors; examples of discrete dynamical systems. Prerequisite: One year of calculus at the high school level. 2 credit hours.

Mathematics 13 - Differential Equations
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, Math 11M, or the equivalent. 1.5 credit hours.

Mathematics 14 - Multivariable Calculus I
Review of basic multivariable calculus; optimization and the second derivative test; higher order derivatives and Taylor approximations; line integrals; vector fields, curl, and divergence; Green's theorem, divergence theorem and Stokes' theorem, outline of proof and applications. Prerequisite: Math 11 or Math 11M. 1.5 credit hours.

Mathematics 61 - Multivariable Calculus II
Constrained optimization using Lagrange multipliers; conservative and nonconservative vector fields; Green's theorem; parameterized surfaces and surface integrals; divergence theorem, outline of proof and applications; Stokes' 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; simple linear regression; applications to analyzing real data sets. Prerequisite: Math 12. 1.5 credit hours.

Mathematics 63 - Linear Algebra II
General vector spaces and linear transformations; rank-nullity theorem; orthogonal expansion and Fourier coefficients; change of basis and similarity; generalized eigenvalues and eigenvectors; diagonalization of symmetric matrices; applications of eigenvalues to systems of ordinary differential equations; LU, QR, and singular value decomposition theorems; Jordan canonical forms. Prerequisite: Math 12. 1.5 credit hours.

Mathematics 64 - Differential Equations II
Linear systems of homogeneous ordinary differential equations, matrix exponential and non-homogeneous linear systems; non-linear systems; equilibrium points and their stability; phase portraits. Prerequisite: Math 12 and Math 13. 1.5 credit hours.

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.