Course Information: 400 level
420. Numerical Analysis 1.Credit Hours: 3 Course Level: 400 Prerequisites: MATH 251 and (either a programming language or MATH 222.) Catalog Description: Computer arithmetic, roots of equations, interpolation, Gaussian elimination, numerical integration and differentiation. Numerical solution of initial value problems for ordinary differential equations. Least square approximations. (Equiv. to CS 460.) |
421. Numerical Analysis 2.Credit Hours: 3 Course Level: 400 Prerequisites: (MATH 420 or CS 460) and (MATH 441 or MATH 343). Catalog Description: Solutions of linear systems by direct and iterative methods. Calculation of eigenvalues, eigenvectors, and inverses of matrices. Applications to ordinary and partial differential equations. |
441. Applied Linear Algebra.Credit Hours: 3 Course Level: 400 Prerequisites: MATH 251. Catalog Description: Matrix algebra with emphasis on algorithmic techniques and applications to physical models. Topics include solution of large systems of equations, orthogonal projections and least squares, and eigenvalue problems. |
451. Introduction to Real Analysis 1.Credit Hours: 3 Course Level: 400 Prerequisites: MATH 283. Catalog Description: A study of sequences, convergence, limits, continuity, definite integral, and derivative, differentials, functional dependence, multiple integrals, sequences, and series of functions. Semester Offered: Comments From Graduate Director: Standard senior-level undergraduate course in advanced calculus. This course is taken by M.S. students who have not had a previous course in advanced calculus. Follows in spring with Math 452. Depending on the outcome of the Basic Exam, if you are a new M.S. student you may be asked or required to take this course. In most cases Math 451 does not count toward M.S. program requirements, but Math 452 does count. Math 451 is a prerequisite for graduate analysis courses, including real variables, Math 551 and complex analysis, Math 555, and provides important background for courses such as Math 564, Differential Equations. All M.S. students must complete, with a B average, either the Math 451/452 sequence, or Math 551. |
452. Introduction to Real Analysis 2.Credit Hours: 3 Course Level: 400 Prerequisites: MATH 451. Catalog Description: A study of sequences, convergence, limits, continuity, definite integral, derivative, differentials, functional dependence, multiple integrals, sequences, and series of functions. |