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Math 233 FALL 2016

1. Section Information

Section

Time

Location

Instructor

email

Office Hours

01    

MWF  9 - 10  AM

Hillman 

Jack Shapiro

jshapiro@math.wustl.edu

M, W : 2:30 - 3:30 pm

T, Th : 9:30 - 10:30 am

Cupples I ,  107B

02

MWF  11 AM - 12  PM

Louderman 458

Jack Shapiro

jshapiro@math.wustl.edu

M, W : 2:30 - 3:30 pm

T, Th : 9:30 - 10:30 am

Cupples I, 107B

03

MWF  12 - 1 PM

Louderman 458

Jack Shapiro

jshapiro@math.wustl.edu

M, W : 2:30 - 3:30 pm

T, Th : 9:30 - 10:30 am

Cupples I, 107B

 


Bulletin Board

Welcome to the page for Math 233! This course is about differential and integral calculus of functions of two and three variables. We will cover vectors, curves and surfaces in space, partial derivatives, multiple integrals, line integrals, and vector calculus through Green’s Theorem. The prerequisite is Math 132, or a score of 4 or 5 on the Advanced Placement Calculus Examination (BC version).      
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WEBWORK: There will be 10 Webwork assignments during the semester and the dates that each are due are listed below on the syllabus, and each must be completed by

11:59pm on that day.  Webwork can be found on the math department page (math.wustl.edu). On Quick links, click on webwork, followed by math 233. Your Wustl Key ID

is your 6 digit student number, and the first time you login that will also be your password. Once you login you can feel free to change your password if you like.




2. Grading Information

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

There will also be a final, E4.

Exam

Date

Location

Time

Solutions

E1

September  16

Check here on exam day.

7:00-9:00PM

Solutions

E2

October 21

Check here on exam day.

7:00-9:00PM

Solutions

E3

November 16

Check here on exam day.

7:00-9:00PM

Solutions

E4

December  10

Check here on exam day.

3:30 - 5:30 PM  

Solutions


GRADES  :   Each of the Exams  1-3  will count  19%  toward the final course grade while the Final Exam will count  28% .  The remaining  15%  will reflect webwork grades .  If  E1 , E2 , E3 , and F  are your four exam scores and  WW  is your webwork average , each scaled to  100,   then your  total   T  is given by  :

T = .19(E1 + E2 + E3 ) +  .28 F  +  .15 WW

In cases where the lowest of the E1-E3  is  less  than  F  , this lowest value will be replaced in the formula  for  T   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 <=  T

A

   75 <=  T <  90  

B

    60 <=  T  <  75

C

    50  <=  T  <  60

D

          T   <  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 procedure 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 beginning of the Spring  semester. Until then your grade will be listed as F/NCR.        

  Rules for Exams :

You should always bring your Washington University Photo  ID  to exams ; proctors will check student ID's .

Graphing calculators and programmable calculators are not permitted for this course.

The following series of calculators are acceptable:

Casio FX-250, Casio FX-260, FX-270, Casio FX-300
Sharp EL-501, Sharp EL-506, Sharp EL-520, Sharp EL-531, Sharp EL-546
TI-30, TI-34, TI-36

Note: Use of a prohibited calculator at an exam is an academic integrity violation. Any detected violation of academic integrity will be referred to the disciplinary committee of the College of Arts and Sciences.

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 to see if you feel there might have been some error in the grading  .


Resources  for  Help with  Math 233   :  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. 

   
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

Multivariable Calculus, Eigth Edition , James Stewart.   No other book is required

4. Syllabus

Week

Sections

Suggested Problems

#1   M  8/29

 

       W  8/31


        F   9/2

12.1 – 12.2   Three Dimension, Vectors


12.3  Dot product

 

12.4  Cross Product

12.2: 9-29 odd


12.3: 3-9 odd, 15-19 odd, 23, 39-43 odd, 49, 51

 

12.4: 1-7 odd, 21 – 35 odd, 43

 

#2   M  9/5     
       
       W   9/7


        F   9/9  

 No Class – Labor Day

 

12.5:  Lines and Planes

 

12.5:  Lines and Planes     WW #1  Due

 


12.5:  19-27 odd  

 

12.5:  45, 47, 51 – 59 odd, 71, 73

#3   M   9/12

     

        W  9/14
       
         F  9/16

13.1:  Vector Functions & Space Curves


13.2:  Derivatives & Integrals of Vector Functions

 

13.4: Velocity & Acceleration    
           

13.1:  1, 3, 17, 19, 29,  31

13.2: 3-7 odd, 9, 11,17, 19, 27, 29, 31, 35

13.4:  9-19 odd, 37 – 41 odd 

  

#4   S   9/18

      

       M   9/19

 

       W   9/21
       
        F    9/23

    
           WW #2 Due

13.3: Arc Length and curvature     

14.1: Functions of Several Variables       EXAM I  ( 7-9 pm)

14.2: Limits & Continuity 

 

 

13.3:  1 – 9 odd,  21 – 29 odd

 

14.1: 9, 11, 15, 19, 45, 49

 

14.2:  5 – 15 odd, 25, 29, 31

 

#5   M  9/26
       
       W  9/28
      
       F   9/30  

14.3: Partial Derivatives    

 

14.4: Tangent Planes

 

16.6: Parametric Surfaces             

 

 

14.3:  15-39 odd, 47-55 odd, 63, 65  

 

14.4:  1 – 5 odd, 11 – 15 odd

16.6: 3, 5, 19, 33, 35

 

#6   S   10/2

       

       M  10/3
      
       W  10/5


        F  10/7

 

WW # 3 Due

 

No Class

 

14.4: Linear Approximations

 

14.5: Chain Rule             

 

 

 

14.4:  19, 21, 25 – 33 odd.     

14.5:  1 – 11 odd, 21 – 33 odd

#7   M  10/10
       
       W 10/12


       F  10/14

14.6: Directional Derivatives      WW # 4 Due

 

No Class

 

14.6:  Gradient Vector 

 

14.6: 5, 11-17 odd, 21-25 odd

 

 

14.6:   7, 9,  41 - 45 odd

#8  M  10/17

 

       W  10/19

 

       F   10/21

 
Fall Break
 
14.7: Max & Min  WW # 5 Due   
 
14.7: Max and Min
 
 
 
14.7:  5 - 13 odd, 31 – 37 odd
14.7: 41 – 49 odd

#9     M  10/24
         
         W  10/26


         F    10/28  

14.8: Lagrange Multiplier          WW # 6 Due

 

15.1: Double Integrals     EXAM II  (7-9 pm)

 

15.1: Iterated Integrals`

14.8:  3 – 13 odd, 21, 31, 33

 

15.1:  1, 3, 11 – 21 odd

 

15.1:  27 – 31 odd, 37, 39

#10  M   10/31
       
         W   11/2


         F     11/4  

15.2: Over General Regions

 

15.2: Over General Regions

 

15.3: Polar Coordinates

15.2:  1-9 odd, 23, 25

 

15.2:  27, 51 - 55 odd

 

15.3:  7 -13 odd

#11   M   11/7
      

          W   11/9

 

          F     11/11

15.3:  Polar Coordinates    WW # 7 Due

 

15.5: Surface Area

 

15.6: Triple Integrals   

15.3:  19 - 27 odd

 

15.5:  1 – 11 odd      16.6: 49    

 

15.6:  1 – 13 odd, 19, 21    

#12   M   11/14
         
         W   11/16

         F      11/18

15.9: Change of Variables      WW # 8 Due

 

16.2:  Line Integrals       EXAM III  (7-9 pm)

 

16.1: Vector Fields  

15.9: 1 – 9 odd, 15 – 19 odd                                

 

16.2:  1 – 15 odd 

 

16.1: 11, 13, 21, 23  

#13   M   11/21
         
       W - F   11/23- 11/25



16.2: Line Integrals       WW # 9  Due

                

 THANGSGIVING BREAK

16.2:  19, 21, 39, 41

 

#14   M   11/28

          W   11/30

 

          F     12/2

 

16.3: Fundamental Theorem     
   

16.3: Fundamental Theorem 

 

16.4: Green’s Theorem  

 

    

16.3:  3 – 9 odd  

16.3:  13 – 17 odd, 33, 35  

 

16.4:  1 – 9 odd 

 

 

#15   M  12/5
         
          W    12/7


          F    12/9

16.4: Green’s Theorem  

    
 16.5: Curl & Divergence   

        WW # 10 Due

16.4:  11, 13, 17, 19, 21             

 16.5:  1 – 7 odd, 13 – 17 odd                                                     

FINAL EXAMINATION

Please verify in Course Listings