Math 233 SPRING 2018

1. Section Information

Section	Time	Location	Instructor	Email	Office Hours

01	MWF 11 AM - 12 PM	Rebstock 215	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 12 - 1 PM	Rebstock 215	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 Blackboard.

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	January 31	Check here on exam day.	6:30-8:30PM	Solutions
E2	March 7	Check here on exam day.	6:30-8:30PM	Solutions
E3	April 11	Check here on exam day.	6:30-8:30PM	Solutions
E4	May 3	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 the grade on the final, 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 the final.

Then your letter grade for the course will be based on the scale appearing in the following table.

Numerical Range	Letter Grade
98 - 100 ; 94 – 97.99 ; 90 -93.99	A+ ; A ; A-
85 – 89.99 ; 80 – 84.99 ; 75 – 79.99	B+ ; B ; B-
70 - 74.99 ; 65 – 69.99 ; 60 – 64.99	C+ ; C ; C-
50 – 59.99	D
0 - 49.99	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. Calculators which do not compute integrals and are not programmed for graphing are acceptable.
Here are some examples of such calculators:

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 : Check the following, https://www.math.wustl.edu/~blake/calculus/.

3. Text

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

4. Syllabus

Week

Sections

Suggested Problems

#1 W 1/17

F 1/19

12.1 – 12.2 Three Dimension, Vectors

12.3 Dot product

12.2: 9-29 odd

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

#2 M 1/22

W 1/24

F 1/26

12.4 Cross Product

12.5: Lines and Planes

12.4: 1-7 odd, 19 – 35 odd, 43

12.5: 19-27 odd

12.5: 45, 47, 51 – 59 odd, 71, 73

#3 M 1/29

W 1/31

F 2/2

13.1: Vector Functions & Space Curves WW #1 Due

13.2: Derivatives & Integrals of Vector Functions

EXAM I ( 6:30-8:30 pm) sections: 12.1-12.5

13.4: Velocity & Acceleration

13.1: 1, 3, 17, 19, 43, 45

13.2: 9, 11,17 – 31 odd, 35, 37

13.4: 9 -19 odd, 37 – 41 odd

#4 M 2/5

W 2/7

F 2/9

13.3: Arc Length (Mon)

13.3: Curvature WW #2 Due (Wed)

14.1: Functions of Several Variables (Friday)

14.2: Limits & Continuity

13.3: 1 – 9 odd (Mon)

13.3: 21 – 29 odd (Wed)

14.1: 9, 11, 45, 49 (Friday)

14.2: 5 – 15 odd, 29, 31

#5 M 2/12

W 2/14

F 2/16

14.3: Partial Derivatives

14.4: Tangent Planes WW #3 Due

14.5: Chain Rule

14.3: 15-39 odd, 47-55 odd, 63, 65

14.4: 1 – 5 odd, 11 – 15 odd, 19, 21, 25 – 33 odd

14.5: 1 – 11 odd, 21 – 33 odd

#6 M 2/19

W 2/21

F 2/23

14.6: Directional Derivatives

14.6: Gradient Vector WW #4 Due

NO CLASS

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

14.6: 7, 9, 33, 41 - 45 odd

#7 M 2/26

W 2/28

F 3/2

14.7: Max & Min

14.7: Max & Min WW #5 Due

14.8: Lagrange Multiplier

14.7: 5 - 13 odd, 31 – 37 odd

14.7:  41 – 49 odd

14.8: 3 – 11 odd, 31, 33

#8 M 3/5

T 3/6

W 3/7

F 3/9

15.1: Double Integrals

  WW #6 Due   (T)

EXAM II  ( 6:30-8:30 pm)  sections: 13.1-14.8

15.1: Iterated Integrals

15.1: 1, 3, 11 – 21 odd (M)

15.1: 27 – 31 odd, 37, 39 (F)

#9 M – F

3/12 – 3/16

SPRING BREAK

#10 M 3/19

W 3/21

F 3/23

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 3/26

W 3/28

F 3/30

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 4/2

W 4/4

F 4/6 (P)

15.9: Change of Variables

16.2: Line Integrals WW # 8 Due

16.2: Line Integrals

15.9: 1 – 9 odd, 15 – 19 odd

16.2: 1 – 15 odd

16.2: 19, 21, 29(a), 39, 41

#13 M 4/9

T 4/10

W 4/11

F 4/13

16.1: Vector Fields

WW #9 Due

16.3: Fundamental Theorem

EXAM III ( 6:30-8:30 pm) sections: 15.1 -16.2

16.4: Green’s Theorem

16.1: 11, 13, 21, 23

16.3: 3 – 9 odd, 13 – 17 odd, 33, 35

16.4: 1 – 9 odd

#14 M 4/16

W 4/18

F 4/20

16.4: Green’s Theorem

16.5: Curl & Divergence

15.8: : Triple Integrals in Spherical Coordinates

16.4: 11, 13, 17, 19, 21

16.5: 1 – 7 odd, 13 – 17 odd

15.8: 21, 23, 25, 27

#15 M 4/23

W 4/25

F 4/27

15.7: Triple Integrals in Cylindrical Coordinates

WW # 10 Due

15.7: 17, 19 21, 23

M 5/3

FINAL EXAMINATION

Th MAY 03 3:30 – 5:30 pm

Please verify in Course Listings