Volker Runde

Research

MATH 146 - Calculus for the Mathematical and Physical Sciences II

Techniques and applications of integration. Improper integrals. Introduction to differential equations. Partial differentiation. Applications in the context of the physical sciences. Prerequisite: One of MATH 100, 113, 114, 117, 134, 144 or 154. Note: Credit can be obtained in at most one of MATH 101, 115, 118, 136, 146, 156 or SCI 100.

MATH 201 - Differential Equations

First-order equations; second-order linear equations: reduction of order, variation of parameters; Laplace transform; linear systems; power series; solution by series; separation of variables for PDEs. Prerequisite or corequisite: MATH 209 or 214. Notes: (1) Open only to students in Engineering and Specialization Geophysics. (2) Credit can be obtained in at most one of MATH 201, MATH 334, MATH 336, or MA PH 251. (3) Students in all sections of this course will write a common final examination. Non-Engineering students who take this course will receive 3 units.

MATH 217 - Honors Calculus III

Axiomatic development of the real number system. Topology of Rn. Sequences, limits and continuity. Multi-variable calculus: differentiation and integration, including integration in spherical and polar coordinates. The differential and the chain rule. Taylor's Formula, maxima and minima. Introduction to vector field theory. Prerequisites: One of MATH 102, 125 or 127, and either MATH 118 or MATH 216. Notes: (1) MATH 216 may be accepted as corequisite with consent of the Department. (2) Engineering students will receive a weight of 4.0 units for this course.

MATH 311 - Theory of Functions of a Complex Variable

Complex numbers. Complex series. Functions of a complex variable. Cauchy's theorem and contour integration. Residue Theorem and its applications. Corequisite: MATH 215 or MATH 315 or MATH 317 or MA PH 351. Note: This course may not be taken for credit if credit has already been obtained in MATH 309 or 411.

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