# Engineering Course Descriptions

**ENGR 2300 Linear Algebra for Engineers **(*3 semester hours*) Matrices, vectors, linear systems of equations, Gauss-Jordan elimination, LU factorization and rank. Vector spaces, linear dependence/independence, basis, and change of basis. Linear transformations and matrix representation; similarity, scalar products, orthogonality, Gram-Schmidt procedures, and QR factorization. Determinants: eigenvalues, eigenvectors, and diagonalization. Introduction to problem solving using MATLAB. Introduction to complex numbers. This course includes a required laboratory. Students cannot get credit for both ENGR 2300 and MATH 2418. Pre- or Co-requisite: MATH 2414 or MATH 2419. (2-1) S

**ENGR 3300 Advanced Engineering Mathematics **(*3 semester hours*) Survey of advanced mathematics topics needed in the study of engineering. Topics include review of complex numbers, multivariate calculus and analytic geometry. Study of polar, cylindrical, and spherical coordinates, vector differential calculus, vector integral calculus, and vector integral theorems. Examples are provided from electromagnetic, fluid mechanics, physics and geometry. Prerequisite: MATH 2415 or MATH 2419. (3-0) S

**ENGR 3341 Probability Theory and Statistics **(*3 semester hours*) Axioms of probability, conditional probability, Bayes theorem, random variables, probability density/mass function (pdf/pmf), cumulative distribution function, expected value, functions of random variables, joint, conditional and marginal pdfs/pmfs for multiple random variables, moments, central limit theorem, elementary statistics, empirical distribution correlation. Students cannot get credit for both CS/SE 3341 and ENGR 3341. Prerequisite: MATH 2414 or MATH 2419. Recommended corequisite: MATH 2420. (3-0) S

**ENGR 4334 Numerical Methods in Engineering **(*3 semester hours*) Computer arithmetic and error analysis. Solution of linear equations, roots of polynomial equations, interpolation and approximation, numerical differentiation and integration, solution of ordinary differential equations. Emphasis on engineering applications and numerical software. Students cannot get credit for both CS/MATH 4334 and ENGR 4334. Prerequisites: ENGR 2300, ENGR 3300, and knowledge of a high level programming language. (3-0) Y