Math 20B -- Lecture D
Winter 2006
    Professor John Wavrik
  Recommended Reading  
Here is an excellent essay on studying math.
We will teach 20B to support this approach.

  Free Online Math Calculators
Calculus -  Early Transcendentals
5th Edition
 by James Stewart

                   Answers to Midterm 2

Office Hours
 Mark Colarusso
W 2-4  (Mar 22)



Exam Schedule

    We will have two midterms and a final exam.  The midterms will be on Wednesday evenings. The final exam will be as in the schedule of classes.  The room for the final exam will be announced, but it is usually the lecture room.    Blue books will be required unless you are notified otherwise.
Midterm 1
  Wednesday - Feb 1
7:00 - 8:00 pm
CENTR  119
Midterm 2
  Wednesday - Mar 1
7:00 - 8:00 pm CENTR  119
Final   Wednesday - Mar  22 7:00 -10:00 pm CENTR  119



Office Hours

Prof:  John Wavrik APM-7240 MW 10-11   F 11-12
TA:    Mark Colarusso
T 10-12
TA:    Alon Regev
MF 2-4



Grading Policy

Your grade is based on your exam scores and on your homework.  The highest midterm score (H) will be weighted twice, the lowest midterm (L) once, and the final exam (F) three times to give a weighted average for exams. You will receive 1 point added to your exam score for each "satisfactory" homework you turn in.
                        Score = (2H + L + 3F)/6  + hwk

HOMEWORK:  In a course like this, homework is probably the most important part.  It is essential that you do homework.  On the other hand, homework is not an exam -- it is not a test of your mastery of the material.  It is an opportunity for you to try things on your own (at the point where you are learning them) and receive some feedback about your work.

         Under better circumstances, homework would be like a correspondence course -- and someone would provide you with detailed comments on your work.  This is particularly important when students are learning to understand and apply new ideas.  Since so many students signed up for 20B you will probably not be getting such detailed comments.  I suggest that you work with others.  Show some of your solutions to friends, and discuss them.

          Your homework solutions are not being averaged in to your grade.  You will get the one point added to your grade for making a serious effort at the problems.  Homework should represent your own work. If you discuss homework problems with friends you are on your honor to write up solutions on your own.

Grading is non-competitive. There is no fixed allotment of “A”s. Your grade depends on your performance -- not who else is in the class. The following cutoffs will not be raised.

A Score >= 90
B 90 > Score >= 80
C 80 > Score >= 70
D 70 > Score >= 60



Online Math Calculators

WIMS  (WWW Internet Math Server)  provides a free collection of  on-line calculator-like programs which do things of interest to calculus students (like integration, differentiation, graphing).  They are relatively simple to use.  Here are three web addresses for "mirror" sites. The one in France is the main site and is sometimes busy, so you might try the other two.

Syllabus Comments

Just to let you know what is happening:

Until this Quarter, Math 20B went through Stewart's book from Chapter 5 through Chapter 10.  It took a full Quarter to cover this. The Math Department has decided to move Chapter 11 from Math 20D to Math 20B. There are good reasons for this. However, Chapter 11 usually has taken me 3 weeks when I have taught 20D.

The net effect is that something has got to go. What I have been trying to do, as you may have noticed, is to give an overview of certain sections rather than skip them entirely.  These are things I would like you to know something about -- but do not expect you to master (use of tables and approximate integration are two examples). But we have, so far, been following the book in order.  This is about to change.  Here are my plans and reasons:

We will skip Chapter 8 entirely.  This has more advanced applications of integration and applications to science and engineering.  There is not enough time to do this.
We will do selected sections from Chapter 9 as time permits at the end of the course. This is an introduction to differential equations -- which is the subject of Math 20D.  Probably everyone should know a bit about this even if they don't take Math 20D.  It is connected with our study of integration -- but because of uncertainty about time, it would be best not to do it now.
We will next do selected sections from Chapter 10.  We will cover 10.1 and 10.2 quickly and spend more time on 10.3 and 10.4 (polar coordinates). This explores applications of 1-variable calculus to things in 2 and 3 dimensions.
We will then do Chapter 11 on infinite series and sequences. This is an important subject.  It is not much connected with integration .
We will do as much as we can with Chapter 9.

Midterm 2 Comments

The midterm will be entirely on techniques of integration (Chapter 7) and, of course, material from Chapter 5 on integrals. 
You will need a blue book.

To avoid snowballing errors, some longer procedures (like partial fractions) will be presented as separate smaller problems (e.g. you might be asked to give the form of a partial fractions decomposition but not evaluate the constants -- or to integrate a linear over a quadratic).  In the second part of the exam you will need to evaluate 3 integrals (out of 6) with no indication of which technique to use.  There are no questions on approximate integrals.

The best preparation is to do a lot of integrals -- including partial fractions carried out in complete gruesome detail.  Make sure that some of your preparation involves having you decide what technique to apply.  You might also try several techniques on an integral to see what happens.