**Math 3210
- Foundations of Analysis ****Spring
2018**

Notes for the final exam.

Office hours this week are 12:30-1:30 on Wed. Apr. 25 and 1:00-3:00 on Thursday, Apr. 26. If you would like to come by at a different time please let me know.

**Instructor: **Ken
Bromberg

**Text:** *Foundations of Analysis*,
by Joseph L. Taylor**Course description: **The purpose of
this course is the rigorous development of the calculus of one
variable, starting from a rigorous development of the real numbers.
This means that the emphasis of the course will be on proofs, and a
lot of time will be spent on practicing how to write proofs. The real
numbers will be constructed from the integers and the rational
numbers. The basic completeness property of the real numbers will be
derived. From the completeness we will then prove the basic theorems
of one variable calculus. We will cover chapters 1 through 6 of the book.

**Problem session: **Tuesday's class session
will be a problem session. Students will present problems on the
board. For each problem you volunteer to do at the board I will add
25/25 to your homework score.

**Midterms: **There will be three midterms. The first is on
February 2nd, the second is on February 28th and the third is on
April 6th.**
** The final is on Friday, April 27th
from 10:30 AM - 12:30 PM. It will be cumulative although it will
weighted towards material that has not been covered on one of the
midterms.

Scheme 1: Your final grade will be determined from the following components: homework 20%, midterms 40%, final 40%. The lowest of the 3 midterm scores is dropped and each of the other 2 counts 20% toward the final grade.

Scheme 2: Your final grade will be determined from the following components: homework 20%, midterms 60%, final 20%. In this scheme all 3 midterm scores will be counted equally towards your final grade.

I will drop your two lowest homework scores. Makeups for exams will only be given in University excused absences.