Math 3210
 Foundations of Analysis
Spring
2018
Notes for the final exam.
Office hours this week are 12:301:30 on Wed. Apr. 25 and 1:003:00 on Thursday, Apr. 26. If you would like to come by at a different time please let me know.
Instructor: Ken
Bromberg
Office: JWB 303
Email:
bromberg@math.utah.edu
Office hours: MF 1:002:00, W 11:4512:45 or
by appointment (Click on the link for my schedule.)
Prerequisites: Math 2210 or consent of
instructor.
Meeting place and time: MWF 10:4511:35, AEB
360 and T 10:4511:35, AEB 306
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.
Homework: Homework will be
assigned weekly and generally due on Tuesdays. Late homework will
not be accepted. A random subset of the problems will be graded.
Due Date 
Assignment  Solutions 
01/16/18 
1.1: 2, 4, 5, 9, 11  
01/23/18 
1.3: 8, 9, 10, 12, 13, 14  
01/30/18 
1.4: 4, 7, 10, 11  
02/06/18 
2.1: 2, 5, 6, 8, 10  
02/13/18 
2.2: 5, 6  
02/20/18 
2.5: 2, 3, 6, 9, 11, 12  
02/27/18 
3.1: 4, 10, 11, 12 

03/06/18 
3.3: 4, 5, 6, 8  
03/13/18 
4.1: 2, 11  
03/27/18 
4.3: 3, 4, 12, 13  
04/03/18 
5.1: 8  
04/10/18 
5.3: 6, 8  
4/17/18 
6.1: 12, 14  
04/24/18 
6.3: 11 
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.
Date
Test
Solution
2/2
Midterm 1
2/28
Midterm 2
4/6
Midterm 3
Final: 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.
Grades: There
are two possible grading schemes for this course. I will calculate
your grade using both schemes and give you the better of the two
grades.
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.
Tutoring
is available from the Math
Tutoring Center.
Students with disabilities may
contact the instructor at the beginning of the semester to discuss
special accommodations for the course.