Introduction to Analysis 1

Spring 2012, Math 310

Time and place: MW 1-2:15 pm in AB 206
Course Page http://wolfweb.unr.edu/homepage/naik/classes/310/
Instructor: Swatee Naik
Office: DMS 316
Email: naik@unr.edu
Office Hours: MW 10-noon, W 4:30-5:30 by appointment

William Wade"An introduction to analysis," Prentice Hall, 2010, 4-th edition, ISBN-10: 0132296381.

Errata(by Professor Blackadar) http://wolfweb.unr.edu/homepage/naik/classes/310/WadeErr.pdf

Reference Preliminary version of Professor Blackadar's book

Assessment: The final grade for the course will be determined according to the breakdown below.

20% Homework
20% Quizzes
20% Midterm 1 (Thursday, March 5th)
20% Midterm 2 (Tuesday, April 9th)
20% Final exam (Monday, May 14, 10:15 a.m.-12:15 p.m.)

The final grade is determined according to the standard table below (with plus and minus grades given in borderline cases. )

90% - 100% A
80% - 89% B
65% - 79% C
50% - 64% D

Lectures

Date
Chapter/Section/Quiz
 Practice home work
Jan 23

Introduction & syllabus
1. The real number system
Read chapter 1.
Jan 25

2. Sequences in R

2.1 Limits of sequences

 

0-8
Jan 30

2.2 Limit theorems, Quiz 1 on 2.1, Solution

 0-9
Feb 1

2.3 Bolzano-Weierstrass theorem

 0-8
Solution to 2.3.2,   LaTex file
Feb 1 Last Day to drop with 100% refund
Feb 6

2.3 Bolzano-Weierstrass theorem

 0-8
Feb 8
2.4 Cauchy sequences, Quiz 2, Quiz 2 Solution, HW1 due, HW 1 Solution
 0-8
Feb 13

3. Functions on R

3.1 Two-sided limits

 

0-9
Feb 15

3.2 One-sided limits & limits at infinity

 0-8
Feb 20

President's Day holiday
Feb 22

3.3 Continuity, Quiz 3, Quiz 3 Solution

0-7
Feb 27

3.4 Uniform continuity, HW2 due

 0-5
Feb 29

Review
Mar 02 Midterm Review, 1-3 pm, AB 102
Mar 05 Midterm exam 1   Study Guide
Mar 07

More on contiuity and uniform continuity

Mar 12
4. Differentiability on R

4.1 The derivative

 0-9
Mar 14

4.2 Differentiability theorems , HW3 due, Quiz 4

 0-5
Mar 23 Last day to drop with W, 0% refund
Mar 17-23 Spring Break  
Mar 26

4.3 The Mean Value Theorem

 0-8
Mar 28

4.4 Taylor's theorem, Quiz 5

 0-9
April 02

4.4 Taylor's theorem & l'Hopital's rule
April 04

4.5 Inverse function theorems, HW4

0-4
April 09

Review
April 11

Midterm exam 2

 
April 16

5. Integrability on R

5.1 The Riemann integral

 0-5
April 18

5.1 The Riemann integral

  
April 23

5.2 Riemann sums, Quiz6

0-4
April 25

5.3 Fundamental theorem of calculus, HW5

  
April 30

5.3 Fundamental theorem of calculus, Quiz 7

0-6
May 02

5.4 Improper Riemann integration, HW6

 Optional: 0-4
May 07

Review

  
May 09

Prep Day, Office hours at 5:30
May 14 Final exam - 10:15 am-12:15 pm

Graded home work assignments

No.

Problems Due date

1
2.1.2c, 2.2.2a, 2.2.3b, 2.3.1

February 8

2
2.4.0abc, 3.1.6, 3.2.4

February 27

3

3.3.4, 4.1.1bc, 4.1.2b
March 14

4
4.2.3, 4.3.4, 4.4.1

April 04
5

5.1.4, 5.2.1

April 25
6

5.3.1ab, 5.3.5.

May 02
Extra Credit

5.1.2, 5.2.0b, 5.3.0a, 5.3.2ab.

May 07

Course guidelines

Absences. It is highly recommended that you attend class as the material in this course is at times challenging and may be difficult to master on your own. Missing a lecture is NOT an excuse for not knowing what material was covered that day, and what assignments were made or were due. Exam dates are firm; changes to homework or quizzes, if any, will be announced in class.

Make-up exam policy. Typically no make-up exams will be rescheduled. For absences with a valid emergency, such as an accident or illness, please notify the instructor at the earliest possible time.

Practice versus graded home work. Exercises from the Practice home work are intended to give you a chance to practice and refine the theory learned in class. These assignments are not to be turned in, however, it is critical that you complete these assignments. The only way to learn math is to do math! Dates for graded homework are posted above. Late work will not be accepted.

Disabilities. The Department of Mathematics and Statistics supports providing equal access for students with disabilities. Any student needing accommodations for a specific disability is encouraged to meet with instructor or any Department representative to ensure timely and appropriate accommodation.

Surreptitious or covert video-taping of class or unauthorized audio recording of class is prohibited by law and by Board of Regents policy.  This class may be videotaped or audio recorded only with the written permission of the instructor.   In order to accommodate students with disabilities, some students may have been given permission to record class lectures and discussions.  Therefore, students should understand that their comments during class may be recorded.   

Written work. We write to communicate. Please bear this in mind as you complete home work assignments and exams. Work must be neat and legible to receive consideration. You must explain your work in order to obtain full credit.

Various suggestions. It is recommended that you:

last updated Mon May 7 10:52:56 PDT 2012

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