**Class time and place:** MWF 9:00am-9:50am, 141 Altgeld Hall.

**Professor:** Igor Mineyev, 243 Illini Hall.
Email is not very efficient for discussions.
Please talk to me before/during/after classes and come to office hours.

**Office hours:** Monday and Wednesday, 1.00pm-1.50pm.

**Textbook:**
*Elementary analysis: The theory of calculus, second edition, by Kenneth Ross.*

1. Real Numbers

2. Sequences

3. Continuity and metric spaces

4. Sequences and series of functions

5. Differentiation.

6. Integration.

We regularly meet with four students in the class who will do some extra reading/work/presentation on topics related to analysis/functional analysis/applications. We meet on Wednesdays at 5pm next to my office, then we find a room somewhere in Illini Hall. (Room 225 is one option if it is available.) Feel free to join and listen to the discussion/presentation if you like. This is optional, not required for the course.

Homework will be listed here. If a newer version does not show up, restart your browser.

**Exams and grades.**
Do not miss the exams. There will be two midterm exams at the regular class time:

- Exam 1, Friday, October 5, 2018. Before curve, the median score was 80, mean score 81.3%, standard deviation 11.8%.
- Exam 2, Friday, November 16, 2018. The median was 85, mean 84.5%, standard deviation 10.6%.
- The final exam is at 1:30pm-4:30pm, Tuesday, December 18, 2018, in the regular classroom, as required by the Final Exam Schedule.

**The project.**
The students will be randomly split into groups to work on a project in the second half of the semester, to write a report, and to present it to the class. Select the topic of your project early and start working on it now. Take initiative, discuss it with me and others in advance. The main requirements for the project:

- Most importantly, it should be interesting. Find what interests you, and make it interesting to others.
- It should be generally related to the course material, say, further developments, applications of the course material in other areas, or topics/concepts/theorems from other areas of mathematics that are related.
- It should be something that you did not know before taking this course.
- Type up the report or write neatly, provide pictures, diagrams, graphs, formulas, etc, whichever is needed. Include the project title, participant names. Hand the report to me at the time of your presentation. It also might be a good idea to provide copies to other students in the class during your presentation.
- Organize your thoughts and ideas in advance in order to fit into the time slot. Consider making you presentation interesting and inspiring.

I am also teaching

- Math 535
*General topology* - Math 595
*Open problems in group theory and topology*, in the second half of Fall 2018. It starts on Monday, October 22, 2018.