MATH 321. Fundamentals of Analysis I (3)
Abstract mathematical reasoning in the context of analysis in Euclidean space.
Introduction to formal reasoning, sets and functions, and the number systems.
Sequences and series; Cauchy sequences and convergence.
Required for all mathematics majors.
Prereq: MATH 223.
MATH 421. Fundamentals of Analysis I (3)
(See MATH 321) Additional work required for graduate students.
(May not be taken for graduate credit by graduate students in the Department of Mathematics.)
MATH 322. Fundamentals of Analysis II (3)
Continuation of MATH 321.
Point-set topology in metric spaces with attention to n-dimensional space;
completeness, compactness, connectedness, and continuity of functions.
Topics in sequences, series of functions, uniform convergence, Fourier series
and polynomial approximation.
Theoretical development of differentiation and Riemann integration.
Required for all mathematics majors.
Prereq: MATH 321.
MATH 422. Fundamentals of Analysis II (3)
(See Math 322) Additional work required for graduate students.
(May not be taken for graduate credit by graduate students in the Department of Mathematics.)
Prereq: MATH 321 or MATH 421.