## Course Information

MAT 201A, Fall Quarter, 2016

**Lectures:**
TR 11:00–12:15 p.m., MSB 2112

**Discussion:**
T 9:00–9:50 a.m., MSB 2112

**Text:**
*Applied Analysis*, John Hunter and Bruno Nachtergaele

**Canvas Site:**
The Canvas site for the class is
here

## Professor

John Hunter

Department of Mathematics

University of California

Davis, CA 95616, USA

**Office:** MSB 3230

**Office hours:**
T 1:00–2:00 p.m., W 3:00–4:00 p.m.

**e-mail:** `jkhunter@ucdavis.edu`

**Phone:** (530) 601-4444 x4016 (Office); (530) 752-6653 (Fax)

**TA:**Jingyang Shu

**Office:** MSB 2123

**Office hours:**
MF 2:00–3:00 p.m.

## Announcement

Solutions to the Final Exam are posted **here**.

## Syllabus

This class will cover roughly Chapters 1–6 of the text:

- Metric, normed, and topological spaces
- Completness and compactness
- Continuous functions
- Banach spaces
- Hilbert spaces

## Additional notes

Some notes on undergraduate real analysis are here.

A note on compact sets in metric spaces is here.

A note on continuous functions on metric spaces is here.

## Exams

There will be one in-class Midterm and an in-class Final

- Midterm: Thursday, Nov. 3, 11:00 a.m.–12:15 p.m.
- Final: Tuesday, Dec. 6th 1:00–3:00 p.m.

**here**.

Some sample midterm problems are
**here**.
Brief solutions to the sample midterm problems are **here**.

There will be no make-up exams.

## Homework

Homework will be assigned weekly and posted on this webpage. It is due in class on Thursdays.

## Grade distribution

Course grade will be based on exam and homework scores weighted as follows:

- Homework: 25%
- Midterm: 25%
- Final: 50%

## Problem Sets

**Problem set 1** (Due Thursday, Sept 29)

**Latex file**

**Solutions: Set 1**

**Problem set 2** (Due Thursday, Oct 6)

**Latex file**

**Solutions: Set 2**

**Problem set 3** (Due Thursday, Oct 13)

**Latex file**

**Solutions: Set 3**

**Problem set 4** (Due Thursday, Oct 20)

**Latex file**

**Solutions: Set 4**

**Problem set 5** (Due Thursday, Oct 27)

**Latex file**

**Solutions: Set 5**

**Problem set 6** (Due Thursday, Nov 10)

**Latex file**

**Solutions: Set 6**

**Problem set 7** (Due Thursday, Nov 17)

**Latex file**

**Solutions: Set 7**

**Problem set 8** (Due Thursday, Dec 1)

**Latex file**

**Solutions: Set 8**