MATH 211 A                         Calculus III                            Spring 2006

 

Professor:  George L. Ashline 

 

Office: 261 Jeanmarie Hall, Phone: 654-2434

 

Office Hours: M, W from 1:30 to 3 PM, T, Th from 1:30 to 2:30 PM.  Also, feel free to set up appointments for other times.

 

Class Meets: M, W, F from 10:30 to 11:20 AM and Th from 8:30 to 9:30 AM in Jeanmarie 281, and on the days of in-class labs in Jeanmarie 288.

 

Textbook and Course PlanCalculus, Early Transcendentals, 5th edition by James Stewart, Brooks/Cole.  For Calculus III, we will be focusing on Chapters 12 through 16 of this text.

 

eCollege and Home Page: I will also be posting homework assignments, course updates and materials at our eCollege course site at http://www.smcvtonline.org/.  You should make sure that you can log into this site today, and visit it regularly over the course of the semester. I will periodically send out e-mail announcements and you can find copies of these at this site.  Other course materials will be available through the “Doc Sharing” portion of the site. Also, you can access other information about this course and other courses I teach at http://academics.smcvt.edu/gashline/.

 

Homework:  There will be problems assigned on a regular basis.  The tentative semester assignment list is currently posted in our eCollege HW folder.  Each assignment is to be turned in by the due date, typically the next class meeting.  Late homeworks will not be accepted.  Most problems will be graded based on effort.  This means that if you show little or no work, you will receive little or no credit; otherwise, you will receive full credit for your work.  It is critical to keep up with your homework assignments.  If you are having trouble with the material, try to resolve your questions promptly.  Feel free to stop by my office to ask questions or discuss your situation.

 

Quizzes: There will be quizzes on recently covered material given on a regular basis (typically on Thursdays).  The quizzes are designed to help you assess your progress before the exams take place.  Make-up quizzes will not be given, unless a verifiable emergency has arisen and I am notified previously about this.  Your lowest quiz score will not be counted toward your final grade.

 

Exams: There will be three in-class exams given during the semester and a comprehensive final exam.  The tentative schedule for the exams is:

 

Exam 1             Thursday, February 9

Exam 2             Thursday, March 9  

Exam 3             Thursday, April 20

Final Exam                   Tuesday, May 9; 9-11:30 AM

 

Absence from an exam without an official excuse will result in you receiving no credit for that exam.  If you are aware of a conflict with any of the exam dates, let me know of this before the exam is to take place.

 

Labs:  There will be in-class labs scheduled during the semester in Jeanmarie 288.  These will feature the computer software device called Maple (which you be familiar with from previous SMC calculus) and provide hands-on experience with important calculus concepts.  Problems will be assigned in each lab for which you are to hand in complete solutions that will be graded.  At the start of the semester, you may wish to recall some basic Maple features and commands using the General Information: Maple Under Windows reference (See eCollege Doc Sharing folder.) Over the next few days, you should find a lab partner with whom you will work on the labs, as well as some in-class activities during the semester.  Please e-mail me ASAP to let me know who your partner is, or if you need to find a partner.  The first Calculus III lab is scheduled for Wednesday, February 1st.

 

Grading: Grades will be based on the homework, quizzes, labs, and four exams according to the following distribution:

 

Homework                               70 points

Labs                                         60 points 

Quizzes                                    100 points 

Semester Exams                       100 points 

Final exam                                120 points  

 

The lowest score among the final quiz score and three semester exams will only count half (50 points).  Thus, the final grade will be based on a total of 600 points.  If there are any changes made in the above information (for example, a test date being moved), it is your responsibility to know them.                                

Learning Disabilities: Any student having a documented learning disability that may affect the learning of mathematics is invited to consult privately with me during the first week of the semester so that appropriate arrangements can be made.

Academic Integrity:  You are reminded of the academic integrity policy of St. Michael’s College.  Simply stated, academic integrity requires that the work you complete for this class is your own.  Some examples of offenses against academic integrity include plagiarism, unauthorized assistance, interference, and interference using information technology.  Details about academic integrity offenses and the possible sanctions resulting from them have been distributed at the beginning of the academic year and also can be found in the Assistant Dean’s office.

Class AttendanceThe following is taken from p. 48 of the St. Michael’s College 2005-2006 Catalogue:

“Students should understand that the main reason for attending college is to be guided in their learning activities by their professors.  This guidance takes place primarily in the classroom and the laboratory.

The following policies have been established:

1. Members of the teaching faculty and students are expected to meet all scheduled classes unless prevented from doing so by illness or other emergencies.

2. The instructor of a course may allow absences equal to the number of class meetings per week.  Additional absences will be considered excessive.

3. The instructor may report excessive absences to the Assistant Dean of the College, who may warn the student.

4. If absences continue, the Assistant Dean of the College may remove the student from class with a failing grade.”

MA 211 Calculus III Assignments and Homeworks           Spring 2006

Stewart’s 5th ed Calculus, Early Transcendental version

 

Week 1

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 1/16

12.1

3 Dim Geometry

p. 797 # 1-5 (all), 7, 11, 23 (15) ;

Exit Question 12-1

TH Quiz, due F 1/20

109: 4c, 5, 6; 111: 2a, 7;

Find lab partner

 

W 1/18

12.1, 12.2

3 D Geom, Vectors

p. 797 # 13, 25, 27, 29, 30, 35; p. 805 # 1, 2, 5, 7, 11, 17; Exit Question 12-2

 

 

Th 1/19

12.2, 12.3

Vectors, Dot Prod

p. 805 # 19, 23, 26;

pp. 812-813 # 1-11 (odd), 21, 31, 39, 51

 

 

F 1/20

12.4

Cross Product

pp. 820-821 # 3, 5, 8, 9, 11, 13, 19;

Exit Question 12-4

 

Week 2

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 1/23

12.5

Lines, Planes

pp.  829-830 # 1-21 (odd), 23, 24, 25;

Exit Question 12-3

 

 

W 1/25

12.5, 12.6

Lin, Plan, Q. Surf

p. 830 # 27-35 (odd);

pp. 837-838 # 1-7 (odd), 11, 21

 

 

Th 1/26

12.6

Quadric Surfaces

pp. 837-838 # 4, 6, 13, 15, 17, 19, 23, 25, 41, 42, 43; Exit Question 12-5

Quiz # 2

(Sects. 12.1-12.5)

 

F 1/27

12.7

Cyl, Spher Coords

pp. 842-843 # 1, 2, 3, 9, 15, 19, 23, 27, 31, 32, 33, 49, 57, 59; Exit Question 12-6

 

Week 3

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 1/30

13.1

V Fct, Space Curve

pp. 855-856 # 1, 3, 5, 7, 9, 19, 21, 23;

Exit Question 13-1

 

 

W 2/1

 

 

Maple Lab # 1,

Jeanmarie 288, due M 2/6

 

Th 2/2

13.2

Calculus of V Fctns

p. 861 # 1, 3, 5, 9, 17, 23;

Exit Question 13-2

Quiz # 3

(Sects. 12.6-13.1)

 

F 2/3

13.3

Arc Length, Curv

pp. 868-869 # 1, 3, 9, 13, 15;

Exit Question 13-3

 

Week 4

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 2/6

13.4

Veloc, Accel

pp. 878-879 # 2, 3, 5, 7, 9, 15;

Exit Question 13-4 (e-mail); not to hand in

 

 

W 2/8

 

 

Question day

 

Th 2/9

 

 

Exam # 1

(12.1-12.7, 13.1-13.4)

 

F 2/10

14.1

Fctns of Sev Vars

pp. 897-899 # 1, 5-15 (odd), 19-25 (odd), 31, 35, 37, 43 (30, 33, 34, 36) ; Exit Question 14-1

 

Week 5

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 2/13

14.2

Limits, Continuity

pp. 908-909 # 1, 2, 5-19 (odd), 31, 35;

Exit Question 14-2

 

 

W 2/15

14.3

Partial Derivatives

pp. 919-921 # 1, 3, 5, 8, 13, 17, 27, 35, 47, 53, 57; Exit Question 14-3

 

 

Th 2/16

14.3, 14.4

PD, T Plane, Lin App

pp. 919-921 # 4, 33, 37, 49;

p. 930 # 1-5 (odd)

Quiz # 4

(Sects. 14.1, 14.2, 14.3)

 

F 2/17

14.4

T Plane, Lin Approx

pp. 930-931 # 11-19 (all), 29, 33, 35

 

 


 

 

Week 6

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 2/20

 

 

MIDSEMESTER BREAK

 

W 2/22

14.5

Chain Rule

p. 938 # 1-11 (odd), 15, 21, 27, 35

 

 

Th 2/23

14.5, 14.6

Ch Rl, Dir Der, Grad

p. 938 # 13, 23, 39;

p. 950 # 1, 3, 5

Quiz # 5

(Sects. 14.3, 14.4, 14.5)

 

F 2/24

14.6, 14.7

Dir Der, Optimiz

pp. 951-952 # 7-13 (odd), 17, 18, 19, 21, 29, 36; ; Exit Question 14-4

 

Week 7

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 2/27

14.7

Optimization

p. 951 # 15, 23, 33;  pp. 961-962 # 1-7 (odd), 27, 29; Exit Question 14-5

 

 

W 3/1

 

 

Maple Lab # 2,

Jeanmarie 288, due M 3/6

 

Th 3/2

14.7

Optimization

pp. 961-962 # 2, 4, 11, 13, 31, 39, 41, 45

Quiz # 6

(Sects. 14.6, 14.7)

 

F 3/3

14.8

Lagrange Multipliers

pp. 970-971 # 1-7 (odd), 11, 27, 29, 33

 

Week 8

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 3/6

14.8, 15.1

L Mult, Double Int

p. 971 # 4, 9, 13, 17, 19;

not to hand in

 

 

W 3/8

 

 

Question day

 

Th 3/9

 

 

Exam # 2

(14.1-14.8)

 

F 3/10

15.1

Double Integrals

pp. 988-989 # 1-11 (odd) ;

Exit Question 15-1

 

Week 9

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 3/20

15.2

Iterated Integrals

pp. 994-995 # 1-19 (odd), 21-29 (odd)

 

 

W 3/22

15.3

Double Int, General

pp. 1002-1003

# 3, 9-17 (odd), 21-27 (odd), 41, 43, 45,49

 

 

Th 3/23

15.4

Double Int, Polar

pp. 1008-1009   # 1-7 (all), 11-15 (all), 19, 21, 25, 31 (33) ;  Exit Question 15-2

Quiz # 7

(Sects. 15.1, 15.2, 15.3)

 

F 3/24

15.5

Double Int, Applicat

p. 1018 # 1-13 (odd)

 

Week 10

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 3/27

15.6

Surface Area

p. 1022 # 1-11 (odd) (23)

 

 

W 3/29

15.7

Triple Integrals

pp. 1030-1031 # 3-11 (odd), 17, 25, 31;  Exit Question 15-3

 

 

Th 3/30

15.7, 15.8

Triple Integrals

pp. 1030-1031 # 13, 15, 19, 33;

pp. 1037-1038 # 1, 5-11 (odd)

Quiz # 8

(Sects. 15.4, 15.5. 15.6)

 

F 3/31

15.8

Trip Int, Cyl, Spher

pp. 1037-1038  # 3, 6, 8, 17-23 (odd),    33, 35;  Exit Question 15-4

 

 

Week 11

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 4/3

15.9

Change of Variables

p. 1048 # 1-9 (odd) ;  Exit Question 15-5

 

 

W 4/5

 

 

Maple Lab # 3,

Jeanmarie 288, due M 4/10

 

Th 4/6

15.9, 16.1

Chg of Var, V Fields

p. 1048 # 11-15 (odd), 19, 21;

p. 1060 # 1-11 (odd) ;  Exit Question 16-1

Quiz # 9

(Sects. 15.7, 15.8)

 

F 4/7

16.1, 16.2

Vect Fields, Line Int

pp. 1060-1061 # 12-15 (all), 21, 23, 29, 31;  p. 1071 # 1-11 (odd) ;  Exit Question 16-2

 

Week 12

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 4/10

16.2, 16.3

Line Int, FTLI

pp. 1072-1073

# 13, 17, 18, 19, 21, 25a, 37, 39

 

 

W 4/12

16.3, 16.4

FTLI, Green’s Thm

pp. 1081-1082

#  1, 2, 3, 5-23 (odd) ;  Exit Question 16-3

 

 

Th 4/13

16.4

Green’s Thm

p. 1089 # 1, 2, 3, 7-11 (all), 13, 15;

not to hand in

Quiz # 10

(Sects. 15.9, 16.1)

 

F 4/14

 

 

GOOD FRIDAY

Week 13

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 4/17

 

 

EASTER MONDAY

 

W 4/19

 

 

Question day

 

Th 4/20

 

 

Exam # 3

(15.1-15.9, 16.1-16.4)

 

F 4/21

16.5

Curl, Divergence

pp. 1096-1097  # 1-11 (odd), 12, 13, 15, 19, 23, 25; ;  Exit Question 16-4

 

Week 14

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 4/24

16.6

Par Surfaces, Area

pp. 1106-1108  # 1, 3, 11, 13, 17, 19, 31, 35, 37, 39; ;  Exit Question 16-5

 

 

W 4/26

 

 

Maple Lab # 4,

Jeanmarie 288, due M 5/1

 

Th 4/27

16.7

Surface Integrals

pp. 1119-1120

# 5-13 (odd), 19

Quiz # 11

(Sects. 16.5, 16.6)

 

F 4/28

16.7, 16.8

S Int, Stokes’ Thm

p. 1120 # 21, 23, 25;

p. 1125 # 1, 3, 7, 9

 

Week 15

Section(s) to Read

Problems Assigned (due next class)

Other Work

 

M 5/1

16.8, 16.9

Stokes’, Div Thms

p. 1125 # 2, 5, 8;

p. 1132 # 1-11 (odd)

 

 

W 5/3

16.8, 16.9

Stokes’, Div Thms

pp. 1132-1133 # 2, 4, 8, 10, 15;

not to hand in

 

 

Th 5/4

16.9

Divergence Thm

See Chapters 12-16 Reviews on  pp. 844-846, 881-883, 974-977, 1049-1051, 1134-1137

 

 

F 5/5

 

 

FINAL CLASS;

Course Evaluations

T 5/9

9:00-11:30 AM

 

 

CUMULATIVE

FINAL EXAM

 

 

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