MATH 217 - Honors Calculus III

3 units (fi 6)(FIRST, 4-0-0)

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 317 - Honors Calculus IV

3 units (fi 6)(SECOND, 4-0-0)

Implicit function theorem. Proof of the Change of Variables Theorem. Line integrals. Theorems of Green, Gauss and Stokes in their classical form. Differential forms and Stokes' Theorem in their context. Sequences and series of functions. Uniform convergence. Prerequisite: MATH 217.

STAT 571 - Probability and Measure

3 units (fi 6)(EITHER, 3-0-0)

Measure and integration, Laws of Large Numbers, convergence of probability measures. Conditional expectation as time permits. Prerequisites: STAT 471 and STAT 512 or their equivalents.