Introduction to Analysis 202

Time, Place, etc

Place: Center for Undergraduate Education (CUE) 419

Time: MWF 9:10 - 10:00

Problem Sessions: Todd 434, MTuWTh 5:00 - 6:00

TA: Yin Chan, Neill Hall 224, Extra Office Hours 6:00 - 9:00 Monday Evenings

Introduction

Welcome to my class! This semester we will explore analysis with a variety of tangential footnotes and side comments as we move along. Instead of a long discourse here on my rather personal, idiosyncratic way of looking at things mathematical, I will save that for the lectures and conversations throughout the semester.

All you really need to know now is that I will add significant material in the form of intuitions and perspective throughout the semester. So come to class.

Structure of the Class

There will be 9 tests, counting the final. But, before you panic and desperately try to find a way to take this class from someone else, read on.

The first 8 tests will be 1-2 questions long, taken directly from the assigned homework. They will be designed so that if you have done the homework, you will be able to finish them in 10 minutes (15 minutes for the most careful, fastidious test-takers). You will have 25-30 minutes to do these tests. You will be able to do extra credit assignments to make up for low scores on any two of the first 4 tests.

But there is more. We will have 4, 1 hour problem sessions each week. One every night except Friday. These are not mandatory. You are encouraged to attend 1 or more every week. At each one of these sessions, I or my TA will be there to work through your questions on the homework. I am holding these sessions in lieu of office hours. You can make special arrangements to see me privately if you need to.

I will assign 5-15 problems per class period, depending on how routine the problems are and how much practice I think is warranted. I suspect that 5-10 will be more typical.

The homework will not be graded.

There will be a comprehensive final, but it too will be designed so that if you have done the homework, you will be able to finish it in under an hour. (The goal is for students who have studied and done the homework to be able to do the final in about 45 minutes.)

Exhortations and other Philosophical Points

For those who like to be told what to do: Do the homework. Understand the homework. Attend the problem sessions. Attend the classes. Read the text before class. Don't skip tests and expect makeup tests (There won't be any.)

For those that want guiding principles and have me stand back and see what they can do: The point of the design of the tests as outlined above is to 1) strongly encourage you to do and understand the homework and 2) remove time pressure from the tests. I.e. I simply want you to learn the material and be able to demonstrate to me that you have done that. If you have an idea of a better way to do that, propose it to me. Such a custom approach is not for the faint of heart, for I will approve an alternative only if it significantly raises the bar. But I will discuss anything.

A fair characterization of the class: a very large amount of work for the reward of a mostly stress-free A and an intuitive, working grasp of calculus. And for those of you who have really grasped the deeper reason why education is to be treasured, this class can be much more.

Cell Phones, Computers, etc.

Of course, cell phones and computers must stay in your backpack/bag/etc. I.e. no texting in class, no Facebook in class, no email in class.

Special Test Taking Needs Will Be Met

Simply stop by the Disability Resource Center (DRC) or call 509-335-3417 to make an appointment with a disability specialist. I want to make sure that you have what you need to make this class a success.

Grading

First 8 tests (always given on Fridays) will be worth 10 points each. The final will be worth 20 points.

Grading will be A = 100-90, B = 89-80, C = 79-70, D = 69-55

Some useful resources

http://www.math.byu.edu/Math/CalculusBible/Text/pdfbook.pdf

http://ocw.mit.edu/ans7870/resources/Strang/strangtext.htm Schedule of Lectures

Preliminary list of lectures, homework and tests

  • M Aug 24, 2009 Chapter 10 read 10.1, do p. 1,5,13,21,27,35,41,43,45,51
  • W Aug 26, 2009 Chapter 10 read 10.2, do p. 1,2,23,31,59,60,62
  • F Aug 28, 2009 Test #1 and Read 10.2, do p. 61,63,64,65 and Test #1
  • M Aug 31, 2009 read 10.3, do p. 1,5,8,10,13,20,23,35,36
  • W Sep 02, 2009 read 10.4, do p. 1,7,10,23,24,29,30
  • F Sep 04, 2009 read 11.1 do p. 1,4,5,10,13,14,19,25,35
  • M Sep 07, 2009 Labor day Vacation
  • W Sep 09, 2009 read 11.2 do p. 2,6,10,12,17,20,28,35,43,53,66,75,76,83,84,85,86
  • F Sep 11, 2009 Test #2 read 11.3 do p. 9,10,11,12,27,28,29,39,40,41,42,43
  • M Sep 14, 2009 read 11.4 do p. 5,6,13,14,,18,19,47,48,57,58,69,70
  • W Sep 16, 2009 read 11.5 do p. 1,2,5,6,17,18,39,40,51,52
  • F Sep 18, 2009 reread 11.5 do p. 69,70,73,74,75,76,77,78
  • M Sep 21, 2009 read 12.1 do problems 48-57
  • W Sep 23, 2009 read 12.2 do problems 41-50
  • F Sep 25, 2009 Test #3 no lecture or assignment
  • M Sep 28, 2009 read 12.3 do problems 23-29
  • W Sep 30, 2009 read 12.4 do problems 31-40
  • F Oct 02, 2009 read 12.5 do problems 1-4, 13,16,17-20
  • M Oct 05, 2009 read 12.6 and 12.7 do problems 1-2 on page 556 and problems 1-2, 37-38 on page 560
  • W Oct 07, 2009 Makeup for Test #3, no lecture, but a help session will fill out the rest of the hour after the test.
  • F Oct 09, 2009 Test #4 Special Lecture (be there!)
  • M Oct 12, 2009 read ch 13, 13.7 odd problems up to problem 47
  • W Oct 14, 2009 read ch 13, 13.7 odd problems up to problem 47
  • F Oct 16, 2009 read ch 13, 13.7 odd problems up to problem 47
  • M Oct 19, 2009 class notes, do odd problems in 14.12
  • W Oct 21, 2009 class notes, do odd problems in 14.12
  • F Oct 23, 2009 Test #5 (you have to be attending class to know what will be on the test)
  • M Oct 26, 2009 class notes, do odd problems in 14.12
  • W Oct 28, 2009 class notes, do odd problems in 14.12
  • F Oct 30, 2009 class notes, do odd problems in 14.12
  • M Nov 02, 2009 class notes, do odd problems in 14.12
  • W Nov 04, 2009 class notes, do odd problems in 14.12
  • F Nov 06, 2009 Test #6 (you have to be attending class to know what will be on the test)
  • M Nov 09, 2009 class notes, do odd problems in 14.12
  • W Nov 11, 2009 Veteran's Day Vacation
  • F Nov 13, 2009 class notes, do odd problems in 14.12
  • M Nov 16, 2009 15.1 + 15.5, assignment made in class
  • W Nov 18, 2009 15.1 + 15.5, assignment made in class
  • F Nov 20, 2009 Test #7 (you have to be attending class to know what will be on the test)
  • M Nov 23, 2009 Thanksgiving Vacation
  • W Nov 25, 2009 Thanksgiving Vacation
  • F Nov 27, 2009 Thanksgiving Vacation
  • M Nov 30, 2009 read chapter 16, do all problems in section 16.4
  • W Dec 02, 2009 read chapter 16, do all problems in section 16.4
  • F Dec 04, 2009 Test #8 (you have to be attending class to know what will be on the test)
  • M Dec 07, 2009 read chapter 16, do all problems in section 16.4
  • W Dec 09, 2009 read chapter 16, do all problems in section 16.4
  • F Dec 11, 2009 read chapter 16, do all problems in section 16.4

Final will be comprehensive over the entire course. There will be 6-8 problems taken from the homework.