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
Midterm 2 will cover Differentiation (Chapter 7) and Sequences and Series of Functions (Chapter 9) from the text by Thomson, Bruckner, and Bruckner. This material is also covered in Chapters 4 and 5 of the Course Notes (excluding Section 5.7 on the sup-norm and Section 5.8 on spaces of continuous functions, which we didn't cover). We'll start Power Series on Monday, but this topic won't be on the Midterm.
We didn't cover all the sections in the text, and the midterm will be based on the material that we did cover in class or in homeworks. Here's a detailed list of the corresponding sections in Thomson, Bruckner, and Bruckner (with all subsections included if none are specified).
Disclaimer: The midterm may still ask you to figure out things you haven't seen before and that aren't listed explicitly here!
- 7.1 Introduction
- 7.2 The Derivative
- 7.3 Computations of Derivatives
- 7.4 Continuity of the Derivative?
- 7.5 Local Extrema
- 7.6 Mean Value Theorem
- 7.6.1 Rolle's Theorem
- 7.6.2 Mean Value Theorem
- 7.7 Monotonicity
- 7.12 Taylor Polynomials
- 9.1 Introduction
- 9.2 Pointwise Limits
- 9.3 Uniform Limits
- 9.3.1 The Cauchy Criterion
- 9.3.2 Weierstrass M-test
- 9.4 Uniform Convergence and Continuity
- (but not 9.4.1 on Dini's theorem)
- 9.6 Uniform Convergence and Derivatives
- 9.6.1 Limits of Discontinuous Derivatives