Course information
Instructor: Prof. John Hunter
Lectures: MWF 9:00–9:50 a.m., Hart Hall 1150
Discussion sections:
MAT125A-A01. Thur 9:00–9:50 a.m., Hutchison Hall 102
MAT125A-A02. Thur 1:10–2:00 p.m., Hoagland Hall 113
Office hours: MWF 2:30–3:30 p.m.
CRN: 29189 (A01); 29190 (A02)
Text: Elementary Real Analysis, Thompson, Bruckner, and Bruckner, Second Edition, 2008
Office: MSB 2139
Office hours:
T 12:00–2:00 p.m.
W 12:00–1:00 p.m.
University of California
Davis, CA 95616, USA
e-mail: jkhunter@ucdavis.edu
Office Phone: (530) 554-1397
Office: Mathematical Sciences Building 3230
The Final will cover all the topics in the course. These consist of the topics for Midterm 1 and Midterm 2 (listed here: Midterm 1; Midterm 2) plus Power Series and Metric Spaces from the following sections of the Text.
- 10.1 Introduction
- 10.2 Power Series: Convergence
- 10.3 Uniform Convergence
- 10.4 Functions Represented by Power Series
- 10.4.1 Continuity of Power Series
- 10.4.3 Differentiation of Power Series
- 10.4.4 Power Series Representations
- 10.5 The Taylor Series
- 13.1 Introduction
- 13.2.Metric Spaces -- Specific Examples
- 13.3 Additional Examples
- 13.3.2 Function Spaces
- 13.4 Convergence
- 13.5 Sets in Metric Spaces
- 13.6 Functions
- 13.6.1 Continuity
- 13.8 Complete Spaces
- 13.8.1 Completeness Proofs
- 13.12 Compactness
- 13.12.1 The Bolzano-Weierstrass Property
- 13.12.2 Continuous Functions on Compact Sets