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.

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.

Planning and implementing effective mathematics instruction for grades 5-12, including facilitating discourse, assessing student thinking, professional development, and connections between mathematics and the curriculum. Prerequisites: MTH 360 with a C+ or better; declared a Teaching Mathematics Grades 7-12 minor, a Teaching Mathematics Grades 5-12 major, or a Teaching Mathematics Grades 5-9 minor.

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.

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.

Subject matter not included in regular course. May be taken more than once, total credit not to exceed 6 hours. Prerequisite: Permission of instructor.

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.

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.