Math 4130 Calendar

Math 4130: Honors Introduction to Analysis I
Spring 2012
Malott Hall 207
Tuesday-Thursday 1:25-2:40

Professor: Robert Strichartz

Office: 563 Malott, Office Hours: Mon 10:30-11:30, Thurs 11:00-12:00
E-mail: str@math.cornell.edu
Office Phone: 255-3509

T.A.: Igors Gorbovickis

Office: 105 Malott Hall, Office Hours: Mon 4:00-6:00, 218 Malott Hall
E-mail: igorsgor@math.cornell.edu

Text: Strichartz, The Way of Analysis

Course description:
Introduction to the rigorous theory underlying calculus, covering the real number system and functions of one variable. Based entirely on proofs. The student is expected to know how to read and, to some extent, construct proofs before taking this course. Topics typically include construction of the real number system, properties of the real number system, continuous functions, differential and integral calculus of functions of one variable, sequences and series of functions.
The course will cover the first eight chapters of the text.

Grading and Exams:

Written homework - weekly assignments due in class on Tuesdays (25%)
Midterm - in class March 15 (25%)
Final exam, May 16, 2:00-4:30 pm in Malott 206 (50%)

"A Cornell student's submission of work for academic credit indicates that the work is the student's own. All outside assistance should be acknowledged, and the student's academic position truthfully reported at all times" ... Cornell University Code of Academic Integrity.

Readings: Students are expected to read the sections of the text before they are discussed in class.

Answers and Questions: At the end of each class I will pose a question for you based on the next reading assignment. Please answer this question on a piece of paper, and also ask a question of your own. Submit these answers and questions at the beginning of each class. I will return written answers to your questions, and I will use this feedback from you to help shape the lecture.

Homework: You are allowed to work together with other students on HW, provided you write up the solutions on your own. Please write the names of the students you worked with on the top of your HW paper.

Exams:

In class Midterm: March 15.
Final: May 16, 2:00-4:30 pm in Malott 206.

These will be closed book exams.

Week	Dates	Reading	HW assignments	HW due date
1	1/24, 1/26	1.1, 1.2, 1.3	1.1.3 - 1 c, g; 2 f, g, h; 3 d 1.2.3 - 2, 4, 5, 7	1/31
2	1/31, 2/2	1.4, 1.5, 2.1	2.1.3 - 1, 4, 5, 6, 7, 8, 9	2/7
3	2/7, 2/9	2.2, 2.3	2.2.4 - 1, 4, 5, 8, 9 2.3.3 - 3, 6	2/14
4	2/14, 2/16	2.4, 3.1	2.4.5 - 1, 2 3.1.3 - 1, 2, 5, 7, 9, 10	2/21
5	2/21, 2/23	3.2, 3.3	3.2.3 - 1, 4, 5, 8, 10 3.3.1 - 1, 2, 3, 4, 5, 6	2/28
6	2/28, 3/1	4.1, 4.2	4.1.5 - 1, 3, 7, 14, 15 4.2.4 - 6, 7, 9, 10, 11, 17	3/6
7	3/6, 3/8	5.1, 5.2	None	-
8	3/13, 3/15	5.3 In class Midterm Exam on March 15. Covers material through Section 5.2.	5.1.3 - 1, 3, 6, 8, 9 5.2.4 - 1, 2, 4, 8, 11 5.3.4 - 7, 8, 9, 11, 13	3/27
9	3/27, 3/29	5.4, 6.1	5.4.6 - 2, 3, 11, 12, 13, 14, 15 6.1.5 - 3, 4, 5, 11	4/3
10	4/3, 4/5	6.2, 7.1	6.2.4 - 4, 6, 9, 10, 11 7.1.3 - 1, 3, 5, 6	4/10
11	4/10, 4/12	7.2, 7.3	7.2.4 - 1, 3, 5, 6, 7, 8 7.3.4 - 2, 3, 7, 10, 14	4/17
12	4/17, 4/19	7.4	7.4.5 - 1, 2, 3, 4, 7, 8, 10, 11	4/24
13	4/24, 4/26	7.5, 7.6	7.5.5 - 1, 3, 4, 5, 8, 13 7.6.3 - 1, 2, 3, 6, 11	5/1
14	5/1, 5/3	8.1, 8.2 The final exam is Wed May 16, 2-4:30 pm in Malott 206.	8.1.4 - 2, 4, 9, 11, 12 8.2.3 - 4, 5, 6, 9, 13	5/8