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

Chemistry 21 – 22. General Chemistry (6). Stoichiometry, kinetic theory, phase behavior, equilibrium, bonding, thermodynamics, kinetics and descriptive chemistry.

Chemistry 25 – 26. Chemistry laboratory (2). Laboratory taken concurrently with Chemistry 21-22.

Computer Science 5. Computer Programming and Problem Solving (3). 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 programming environment, operating system, and network.

Engineering 59. Introduction to System Engineering (3). An introduction to the concepts of modern engineering, emphasizing modeling, analysis, synthesis and design. Applications to chemical, mechanical, and electrical systems.

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

Required elective in first-year spring in Humanities and Social Sciences. Students elect a course in Humanities and Social Sciences taken during the spring of their first-year.

Math 11. Calculus of One Real or Complex Variables (2). 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-values functions. Prerequisite: One year of calculus at the high school level.

Math 12. Introduction to Linear Algebra and Discrete Dynamical Systems (2). 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, Sarkovskii’s theorem. Prerequisite: Math 11 or the equivalent.

Math 13. Differential Equations (1.5). 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.

Math 14. Multivariable Calculus 1 (1.5). 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, outline of proof and applications; unification of major vector theorems. Prerequisite: Math 11.

Math 61.  Multivariable Calculus II (1.5).  Review of basic multivariable calculus; optimization and the Second Derivative Test; 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; Stoke’s theorem, outline of proof and applications, unification of major vector theorems.  Prerequisite: Math 14.

Math 62.  Introduction to Probability and Statistics (1.5). 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 12.

Math 63. Linear Algebra II. (1.5) 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; projections of Bessels inequality; 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.

Math 64.  Differential Equations II (1.5).  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; Strum-Liouville problems; series solutions near ordinary and regular singular points; Bessel functions; chaos.  Prerequisite: Math 13 and 63.

Physics 23 - 24.  Mechanics and Wave Motion (5).  Kinematics, dynamics, linear and angular momentum, work and energy, harmonic and central force motions, waves and sound, and an introduction to special relativity.

Physics 28.  Physical Laboratory (1).  Experiments in mechanics using digital electronic measuring devices.

Physics 51.   Electromagnetic Theory and Optics (3).  An introduction to electricity and magnetism leading to Maxwelll's electromagnetic equations in differential and integral form.  Selected topics in physical optics,  Prerequisite:  Physics 23-24 and Mathematics 14.

Physics  53.  Electricity and Optics Laboratory (1).  Electrical and magnetic techniques in such measurements as the Hall effect and the earth’s magnetic field.  Introduction to electronics, including the 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.

Possible alternatives: ID lab for freshman lab sequence in Physics and Chemistry.