Math 3210 - Foundations of Analysis
Spring 2013

I will give you these notes to use on the final.

Instructor:
Ken Bromberg
Office: JWB 303
Email: bromberg@math.utah.edu
Office hours: MW 10:35-11:35 or by appointment

Meeting place and time: MWThF 9:40-10:30, WBB 617

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 develoment 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.

Homework: Homework will be assigned weekly and generally due on Thursdays at the start of class. Late homework will not be accepted. A random subset of the problems will be graded.

 Due Date Assignment Solutions Thursday 1/17 Exercise Set 1.1: 2, 4, 5, 9, 11 Exercise Set 1.2: 1, 2, 8, 10 Thursday 1/24 Exercise Set 1.3: 6, 7, 8, 9, 10, 12, 13, 14 Thursday 1/31 Exercise Set 1.4: 4, 7, 10, 11 Exercise Set 1.5: 3, 4 Thursday 2/7 Exercise Set 1.5: 12 Exercise Set 2.1: 2, 5, 6, 8 Thursday 2/14 Exercise Set 2.2: 6 Exercise Set 2.3: 2, 4, 8, 9 Exercise Set 2.4: 3, 14 Thursday 2/21 Exercise Set 2.5: 2, 3, 6, 9, 11, 12 Exercise Set 2.6: 2, 4 Thursday 2/28 Exercise Set 3.1: 4, 10, 11, 12 Exercise Set 3.2: 3, 8, 10 Monday 3/18 Exercise Set 3.3: 4, 5, 6, 8 Exercise Set 3.4: 1, 5, 12 Monday 3/25 Exercise Set 4.1: 2, 6, 10 Exercise Set 4.2: 1, 7, 10, 12 Thursday 3/28 Exercise Set 4.3: 4, 12, 13 Exercise Set 4.4: 1, 4, 5 Thursday 4/4 Exercise Set 5.1: 1, 5, 8 Exercise Set 5.2: 1, 9, 10 Thursday 4/11 Exercise Set 5.3: 4, 6, 9, 10 Thursday 4/18 Exercise Set 5.4: 1, 4, 8, 12 Exercise Set 6.1: 5, 14 Wednesday 4/24 Exercise Set 6.2: 11,  12 Exercise Set 6.3: 6, 12 Exercise Set 6.4: 9, 10

Problem session: Thursday'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 4th, the second is on March 8th and the third is on April 8th.

 Date Test Solution 2/4 Midterm 1 Solutions to Midterm 1 Corrected question 2 Solution to Question 2 3/8 4/8

Final: The final is on May 1 from 8:00 AM - 10:00 AM.

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 30%, midterms 60%, final 20%. All 3 midterm scores will count in this scheme 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 accomodations for the course.