Course Description

MATHEMATICS (MATH)

151. Engineering Mathematics I. (3-2). Credit 4. Rectangular coordinates, vectors, analytical geometry, functions, limits, derivatives of functions, applications, integration, computer algebra (Maple). Prerequisite: MATH 150 or equivalent. Credit will not be given for more than one of MATH 131, 142, 151, and 171.

152. Engineering Mathematics II. (3-2). Credit 4. Differentiation and integration techniques and their application (areas, volumes, work), improper integrals, approximate integration, analytic geometry, vectors, infinite series, power series, Taylor series, computer algebra (Maple). Prerequisite: MATH 151 or equivalent. Credit will not be given for both MATH 152 and 172

251. Engineering Mathematics III. (3-0). Credit 3. Vector algebra, calculus of functions of
several variables, partial derivatives, directional derivatives, gradient, multiple integration, line and surface integrals, Stokes' theorems. Prerequisite: MATH 152 or equivalent. Credit will not be given for more than one of MATH 221, 251, and 253.

308. Differential Equations. (3-0). Credit 3. Ordinary differential equations, solutions in series, solutions using Laplace transforms, systems of differential equations. Prerequisites: MATH 251 or equivalent; knowledge of computer algebra system.

311. Topics in Applied Mathematics I. (3-0). Credit 3. Matrices, determinants, systems of linear equations, eigenvectors, diagonalization of symmetric matrices, special functions; vector analysis, including normal derivatives, gradient, divergence, curl, line, and surface integrals, Gauss', Green's and Stokes' theorems. Prerequisites: MATH 221, 251, or 253; MATH 308 or concurrent enrollment therein.

411. Mathematical Probability. (3-0). Credit 3. Probability spaces, discrete and continuous random variables, special distributions, joint distribution, expectations, law of larger numbers, the central limit theorem. Prerequisite: MATH 221 or equivalent.

414. Fourier Series and Wavelets. (3-0). Credit 3. Fourier series and wavelets with applications to data compression and signal processing. Prerequisite: MATH 222 or 304 or 311.