Analysis I
Math 313, Spring 2019
General Information
Math 313. Call #22971
Classes: MWF 10:00-10:50am in AH307
Professor: Alex Furman
Office hours: W 11-12, F 2-3, or by appointment
Contact: furman [at] uic [dot] edu
Text: Kenneth Ross "Elementary Analysis" 2nd edition
Course Description
The course is an introduction to Analysis, a subject which includes the theoretical side of calculus. The most important theme in the course will be building the subject up from the foundations. A typical calculus course (such as Math 180, 181, 210) is focused on introducing tools and applying them to typical problems. In Math 313 we will study the tools themselves more carefully, will reconsider the scope of the applications of these tools more rigorously, and will find new interesting phenomena.
Some of the material of the course is not covered by the textbook.
Grading
- There will be two midterms, a final exam, and weekly homework assignment. Attendance and participation in class is also required and expected.
- The total score in the course is composed from:
Participation (10%) + Homework (20%) + Midterm 1 (20%) + Midterm 2 (20%) + Final (30%)
- Tests schedule:
- Midterm I: Friday, March 1, 2019.
- Midterm II: Wednesday, April 17, 2019.
- Final: Friday, May 10, 2019 at 10:30-12:30.
Additional Material
- Notes on real numbers
- Handout on monotonic sequences to define e.
- Notes on Metric Spaces
- List of topics (a study guide) for the course
- Midterm I, Midterm II, Quiz 1, Quiz 2, Quiz 3.