400
Basic solution methods including Fourier series, separation of variables, finite difference, and Green’s Functions to solve wave, heat, and Poisson equations. Prerequisites: MTH 233, MTH 334.
Credits
3(3-0)
Prerequisites
MTH 233, MTH 334
Corequisites
None.
Complex numbers, analytic functions, Laurent series, Cauchy integral formula. Prerequisites:
MTH 233, 332.
Credits
3(3-0)
Prerequisites
MTH 233, MTH 332
Corequisites
None.
Computational methods for solving non-linear equations and systems of linear equations. Interpolation, numerical differentiation and integration, numerical methods for ordinary differential equations. Prerequisites:
MTH 133, 223 or 232.
Credits
3(3-0)
Prerequisites
MTH 133, MTH 223 or MTH 232
Corequisites
None.
Continuation of
MTH 438. Approximation theory, iterative techniques in matrix algebra, eigenvalue approximation, numerical solutions of nonlinear systems, boundary-value problems, and partial differential equations. Prerequisite:
MTH 438.
Credits
3(3-0)
Prerequisites
MTH 438
Corequisites
None.
Curves and surfaces, Frenet formulas, calculus on Euclidean space, tangent vectors and surface maps, Gauss map, shape operator, curvature, special curves on surfaces. Prerequisites:
MTH 233, 332.
Credits
3(3-0)
Prerequisites
MTH 233, MTH 332
Corequisites
None.
This course exposes pre-service secondary mathematics teachers to theory and practice of curriculum, assessment and instruction in schools, introducing current literature and designing instructional units. Prerequisites: MTH 341; C+ or better in MTH 261, 362, 363; signed major or minor in secondary mathematics.
Credits
3(3-0)
Prerequisites
MTH 341; C+ or better in MTH 261, MTH 362, MTH 363; signed major or minor in secondary mathematics
Corequisites
None.
Problem-solving techniques demonstrated through solutions of Putnam Examination problems. Designed particularly for those students interested in taking the Putnam Examination. Repeatable up to 4 hours. Prerequisites: MTH 233; permission of instructor.
Credits
1-4(Spec)
Prerequisites
MTH 233; permission of instructor
Corequisites
None.
Subject matter not included in regular course. May be taken more than once, total credit not to exceed 6 hours. Prerequisite: Permission of instructor.
Credits
1-6(Spec)
Prerequisites
Permission of instructor.
Corequisites
None.
Introduction to research experience in Mathematics. Research must be supervised by a Mathematics faculty member. CR/NC only. Prerequisites: Completion of at least 30 credit hours in mathematics and permission of project advisor.
Credits
3(3-0)
Prerequisites
Completion of at least 30 credit hours in mathematics and permission of project advisor.
Corequisites
None.
Material in core mathematics courses is unified through study of subject matter excluded from regular mathematics courses, in the areas of classical and applied mathematics. Prerequisites: MTH 233. Pre/Co- requisite: One of MTH 523, 532, 545.
Credits
3(3-0)
Prerequisites
MTH 233
Corequisites
None.