Math 63
Real Analysis
Last updated June 27, 2016 13:25:50 EDT

General Information Syllabus HW Assignments


The following is a tentative syllabus for the course. This page will be updated irregularly.
On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

Lectures Sections in Text Brief Description
1/7 I.1-4 Sets
1/9 II.1-2 Ordered fields
1/11 II.3-4 Least upper bounds
1/14 III.1 Metric spaces
1/16 III.2 Open sets
1/18 III.3 Convergent sequences
1/21   MLK Day - NO CLASS
1/22 (x-hour) III.4 Completeness
1/23 III.5 Compactness
1/25 III.5 The Heine-Borel Theorem
1/28 III.6 Connectedness
1/29   Minor midterm: In class and take-home
1/30 IV.1 Continuous functions
2/1 IV.2 Continuous functions and limits
2/4 IV.3 Rational functions
2/5 (x-hour) IV.4 Functions on compact sets
2/6 IV.5 Functions on connected sets
2/8   Winter Carnival: NO CLASS
2/11 IV.6 Sequences of functions
2/13 IV.6 Sequences of functions - The Hilbert Curve
2/15 V.1-3 Derivatives
2/18 V.4 Taylor's Theorem
2/19   Major Midterm: In class and take-home
2/20 VI.1-2 Riemann integral
2/22 VI.3 Integrability
2/25 VI.4-5 Fundamental Theorem of Calculus
2/27 VII.1 Int. and diff. of sequences of functions
3/1 VII.2-3 Infinite series
3/4 VII.2-3 Analytic functions
3/6 VI.5, VII.4 Elementary functions
3/8   Wrap it up

Dana P. Williams
Last updated June 27, 2016 13:25:50 EDT