REVISED AND NEW COURSES --- Effective Fall 2008:
Revised Existing Courses: MATH 369, MATH 417, MATH 466
MATH 369 03(3-0-0).
Linear Algebra I.
F,
S, SS. Prerequisite: MATH 161.
Linear systems, matrices, vector spaces, linear
transformations, eigenvalues, eigenvectors.
MATH 417 03(3-0-0).
Advanced Calculus I.
F. Prerequisite: MATH 317; MATH 369. Topology of Euclidean
spaces, limits, derivatives and integrals on Euclidean spaces, implicit
functions and the implicit function theorem.
MATH 466 03(3-0-0).
Abstract Algebra I.
F.
Prerequisite: MATH 360 or MATH 366 or MATH 369. Comprehensive
introduction to groups, rings and fields.
New Courses: MATH 281, MATH 418, MATH 467, MATH 469
MATH 281 03(3-0-0).
Introduction to Mathematical Reasoning.
Experimental Course Fall 2008. Prerequisite: Math 160. Introduction to
mathematical
reasoning and proof; logic, different kinds of numbers, notation and
concepts from analysis, number theory, algebra and combinatorics;
Induction; functions and relations between arbitrary sets.
MATH 418 03(3-0-0). Advanced Calculus II.
S.
Prerequisite: MATH 417. Line and surface integrals, series, sequences
and series of functions.
MATH 467 03(3-0-0). Abstract Algebra II.
S.
Prerequisite: MATH 466. Advanced topics in abstract algebra: Euclidean
domains, abstract vector spaces, extension fields, Galois theory.
MATH 469 03(3-0-0). Linear Algebra II.
S.
Prerequisite: MATH 369. Vector spaces, linear transformations,
determinants, canonical forms.