Math 132 SPRING 2005

1. Section Information

Section Time Location Instructor email Office Hours
1 MWF 9-10  AM McDonnel   162
 Jack Shapiro
 		jshapiro@math.wustl.edu Cupples I ,  107B
M , W : 3:30-4:30   PM
 Th ,  F  :   1:00 - 2:00  PM
2 MWF  2-3  PM McDonnel  162
 Jack Shapiro
 jshapiro@math.wustl.edu Cupples I ,  107B
M , W : 3:30-4:30   PM
Th ,   F  :   1:00 - 2:00  PM














Bulletin Board

LAST   TWO  WEEKS  OF   COURSE
On  Monday , Wednesday ,  4/18 & 4/20 ,  we will finish the material for the course .
On Friday  , 4/22 ,   there will be no class .
Due to  the  Passover Holiday  I will not  be here on  the final week of the course .
The classes will be covered by    Brian and Tim   , who've been running the Tuesday subsections .
Those classes  will  be a   review of  material  that  could  appear on the Final  Exam .

I will be back on reading week  and will meet with anyone wishing to come  on   Monday , Tuesday &, Wednesday ,
5/2 - 5/4  ,    from   2 - 3  PM ,  in our regular classroom  . They  will be office hours  held  with plenty of room .   

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FINAL  EXAM( 25  multiple choice problems )
I.  Evaluating  integrals :  substitution , integration by parts , partial fractions , trigonometric substitution ,
improper integrals   and  Simpson's rule  .
    II.  Applications of integrals  :    area between curves , volume of a solid ( slicing method or cross-sections ) ,
length of curve , work  ( spring of lifting problems ) , probability ( only exponential density ) .
III.   Differential  equations  :    solving initial value exponential  equations , exponential growth & decay  ,
logistic  model  .
  IV .  Sums of  series  (  no problems   concerning  convergence or divergence )                                                
                                             V.  Taylor  and  Maclaurin   Series  (  8 out of 25 of the exam questions will come from this section ) .                                                                                                                
                           
  Practice Final   :  You should use  the  Final Exam  from  Fall  2002   as  your practice final  , much of our exam will be the same .
In the practice final  ignore  problems  1 , 2  , 6 , 14  and  16 .  That  exam is missing a few of the topics mentioned above , such as
Simpson's rule  , spring or lifting work problems . You can look those up on our previous exam  or  Webwork problems .
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WeBWorK  :   http://webwork.wustl.edu/webwork2/math132spring2005/

Upcoming  schedule  for  WeBWorK
#  6    will be  online   Th   3/3   and will be due  Mon  3/14
# 7   will be online  Mon  3/21  and will be due   Mon  3/28
# 8   will be online  Mon  3/28   and will be due  Mon   4/4
# 9  will be online  Mon  4/4   and will be due   Mon  4/11
# 10   will be online  Wed  4/20   and will be due  Wed  4/27

 
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Possibilities  of  help  in  solving HW  problems  

1) Any of my office hours .
2) Calculus Help Desk at Cornerstone , starting  January  23  .
S ,  W  : 7-9 PM      and      M , T , TH : 9-11 PM  
3) Calculus help room , Lopata  102 ,  M - F  when staffed . Schedule can be found on :
   http://www.math.wustl.edu/~blake/undergrads/ta officehours.html  

2. Grading Information

There will be three evening exams during the semester, E1 , E2 , E3.

There will also be a final,  F .

Exam Date Location Time Solutions
E1 February  10
 Check here on exam day. 6:30-8:30PM Solutions
E2 March  16
 Check here on exam day. 6:30-8:30PM Solutions
E3 April   14
 Check here on exam day. 6:30-8:30PM Solutions
 F
 May   6
 Check here on exam day. 10:30 AM -12:30 PM   Solutions

GRADES  :   Each of the Exams  1-4  will count  16%  toward the final course grade  .  Similarly the grade of  the quizzes will  be  16%  .
                       The  WeBWorK  and the Lab will each be   10% .
                       
To be more precise ,   If   E1 , E2 , E3 , and F  are your four exam scores ,   QU  is your  quiz score ,  WeB  your WeBWorK score  & Lab  your
Lab Work  ,   then your  total   T    is given by  :

T = .16(E1 + E2 + E3 + F  + QU )   +  .10 WeB  +  .10 Lab

In cases where the lowest of the E1 - E3  is  less  than   F  , this lowest value will be replaced in the formula   by   F   .  Thus , the lowest in-semester
 exam  will be dropped out   in computing averages provided this lowest score isn"t   F  .

Then your   letter grade     for the course  will     not be lower     than it would be if it were based  on  the scale appearing in the following table .

Numerical Range Letter Grade
    90     to   100
A
   80    to    89.99   
 B
   65   to    79.99
C
    50  to     64.99
 D
       Below   50
 F   or  NC


Missed Exams  :   If you are  unable to take one of   Exams  E1-E3 for legitimate reasons ( such as verified illness or serious family emergency )  you  will not be given   a  make-up   exam .  You first need to explain to me why you missed the exam and if everything is in  order you will get an   excused absence .  Your grade for the missed exam will be calculated by a   statistical proceedure which uses your scores on the other taken exams, including the Final  .  If the only exam you miss is the Final Exam , and for that receive an excused absence , then you  must take a  make-up  Final exam at the begining of the   Fall semester  2005  .  
     
Policy  for  taking exams :

You should always bring your Washington University Photo  ID  to exams ; proctors will check student ID's .
A standard-sized  3x5  index card will be permitted as a "cheat sheet" on the exams.  

A   calculator will   be  allowed   for   the  first  exam   ,     most   probably  they   will
       also  be  allowed  on  all the other  exams   .
 
Calculators have to be similar to TI-83, TI-83 Plus, TI-86 ,  but  NOT  any model that contains a  " Computer Algebra System (CAS) "  ( for example  TI-89 , TI-92, HP-48 and HP-49 are not allowed )  .

Just before each exam you can look up your exam room assignment on the web  (see above, "check here on exam day" ) . The room will probably not be your regular classroom, and it may change for each exam. You will be allowed to enter the exam room a few minutes before the starting time to locate your seat and personalized exam booklet which will have your name printed on it in large letters.


EXAM   RETURNS   :    There will be a short time after each exam is graded  when you can look at your graded exam  in the Math Office  ( Cupples  I  ,  room  100 )   if you feel there might have been some error in the grading  . After that the exams will be put out in a cabinet by the Math 132 bulletin board on the first floor of Cupples I , for you to pick up .  Once the exams are returned it will be  more difficult to check for  possible errors in grading .  

Resources  for  Help with  Math 132    :    Old Exams  and solutions are posted on the web as a study guide ( see above , "solutions" ) .  This comes from the Math Department page and it includes exams from the past  semesters , starting with   Spring 2000 .   Copies of some of these exams should also be available to view or copy at the Reserve Desk of Olin Library.
   
Calculus Study Group   :   Study groups are organized as needed  by   The Center for Advanced Learning    located  in   Conerstone  ( in Gregg Hall on the south 40 ) .  They are conducted by graduate and undergraduate math students . If you want to belong to such a study group you must make a commitment to   attend the group regularly   ( not just  " come when you feel like it"  ) .  For more information you can look on the website   cornerstone.wustl.edu      or   call them  at    935-5970  .
 

3. Text

Calculus : Concepts and Contexts, Second Edition , James  Stewart



4. Syllabus

Week Sections Suggested Problems
#1   Wed  1/19
        Fri   1/21
 5.6 a     Integration by Parts
5.6 b & 5.7 a     Techniques of Integration
 5.6 a : 1 - 19   odd
5.6 b :  25,26, 33,41
5.7 a :   1,3,5,9,10,13
#2   Mon   1/24
       Tu      1/25    
       Wed   1/26
        Fri     1/28  		 5.7 b    Additional Techniques
      Quiz   # 1
5.8  Only "Table of Integrals"  part
5.9     Approximate Integration
 5.7 b :  15 - 23  odd   
    Sections   5.6 & 5.7 a    
5.8:  1,5,9,13,19,21   
5.9 :  1,2,5,7,13,17,18
#3   Mon   1/31
       Tu      2/1
       Wed   2/2
        Fri     2/4   		5.10   Improper Integrals
    Quiz  # 2
5.10   Improper Integrals
6.1 a   Areas		 5.10 :  1,2,3  and  5-25 odd  
   Sections   5.7 b - 5.9        
5.10:  31,33,35,41,43,53                
6.1a :  1 - 15  odd  ; 25
#4   Mon   2/7
       Wed   2/9
       Thur    2/10
        Fri      2/11
 6.1 b   Areas
6.2a    Volumes  
    EXAM   I      6:30 - 8:30   PM
6.2b   Volumes
Volume Example: A(y) is an equilateral triangle
6.1 b : 21,23,25,33,35,37
6.2 a:   1 - 13   odd
      Sections  5.6 - 5.10  &  6.1
6.2 b : 17,21, 23,29,31,43
#5   Mon   2/14
       Tues   2/15
      Wed   2/16        
       Fri      2/18  
6.4     Average Value
     Quiz  # 3
6.5a  Work( Springs & lifting)
6.3    Arc  Length
 6.4 :  1,3,5,7,11,12  
      Section  6.2
6.5a :  3,4,5,7,8,9,10 
6.3 :  1,2,3,5,7,11,21   
#6   Mon  2/21
       Tu     2/22
       Wed  2/23
        Fri     2/25		 6.5 b  Work( Pumping Liquid)
     Quiz   # 4
6.7    Probability
6.7     Probability          		 6.5 b :  11,12,13,14
       Sections   6.3 - 6.5 a
6.7:  1 - 5    
6.7 :  6,7,9,11  
#7   Mon   2/28
       Tu      3/1
       Wed   3/2
       Fri       3/4
 7.1 & 7.2   Diff. Equa. & Euler's Method
     Quiz   #  5  
7.3     Seperable  Equations
7.3      Seperable  Equations
 7.1: 1,3,7  ; 7.2 : 3,5,21,22,23 
  Sections   6.5 - 6.7                      
7.3:   1,5,7,9,13,15
7.3 :  25,29,33,35         
#8      3 / 7  -   3 / 13
 
             SPRING BREAK



#9     Mon   3/14
         Wed   3/16

         Fri      3/18  
7.4    Exponential  Growth & Decay
                    REVIEW      &
             EXAM II    6:30 - 8:30   PM
7.5     Logistic Equation
7.4 :  3,5,9,13,17,19

   Sections   6.3 - 6.7  &  7.1 - 7.3
7.5 : 1a ,3,5, 6( K=  4  billion )                     
#10  Mon   3/21
        Tu      3/22
        Wed   3/23
        Fri      3/25   		 8.1    Sequences
      Quiz  # 6
 8.2    Series
 8.2    Series
8.1 :   1,2,3;  5 - 21 odd ,  45 
    Sections    7.4 & 7.5       
8.2 :  1,2,9,10,11,13,15,17,21
8.2 :   23,29,33,35             
#11   Mon   3/28
         Tu      3/29
         Wed   3/30
         Fri      4/1 		8.3     Integral Test
       Quiz  # 7
8.3     Comparison Test
8.4a   Alternating Series    		8.3:    1,2 ;   9 - 19  odd
      Sections   8.1 & 8.2            
8.3:   21,23, 27,29
8.4 a :   1,2,3,5,7,9,      
#12   Mon   4/4
         Tu      4/5
         Wed   4/6
         Fri       4/8
 8.4 b   Absolute Convergence
      Quiz   # 8
8.4 c   Ratio   Test
8.5    Power Series 		 8.4 b :   13,17,19,21,25
       Sections  8.3 & 8.4 a  
8.4 c :   31,33
8.5  :  1 - 9  odd       
#13   Mon    4/11
         Wed   4/13
         Thur    4/14
         Fri       4/15
 8.5    Power Series
                 REVIEW
            EXAM  III      6:30 - 8:30  PM
8.7a   Taylor  &  Maclaurin Series
8.5   :  11-19  odd
                 
        Sections   7.4 , 7.5  &  8.1 - 8.5
8.7 a :  1 - 13  odd
#14   Mon    4/18
         Tu       4/19
         Wed    4/20
         Fri       4/22
 8.7 b   Composites with  Maclaurin   Series
             Quiz   # 9  
8.7 c   approximations & limits of  Maclaurin  Series
                NO    CLASS
 8.7 b :  17,21,23 ,31,34, 47,49,51
        Sections   8.7 a       
8.7 c :  29, 35,37,39, 41  
                     
#15   Mon    4/25
         Tu       4/26
        Wed    4/27
        Fri        4/29		              review   class              
       Quiz   # 10
             review class  
             review class      
     Section    8.7  b,c             
                                                     

FINAL EXAMINATION
    May     6
10:30 AM - 12:30 PM		 Please verify in Course Listings


For the answers of the quizzes, you may down HERE .