MATH 211 A Calculus III Spring 2006
Professor: George L. Ashline
Office: 261 Jeanmarie Hall, Phone: 6542434
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 inclass labs in Jeanmarie 288.
Textbook and Course Plan: Calculus, Early Transcendentals, 5^{th} 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 email 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. Makeup 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 inclass 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; 911:30 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 inclass 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 handson 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 inclass activities during the semester. Please email 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 1^{st}.
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 Attendance: The following is taken from p. 48 of the St. Michael’s College 20052006 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 5^{th} 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 # 15 (all), 7, 11, 23 (15) ; Exit Question 121 
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 122 

Th 1/19 
12.2, 12.3 Vectors, Dot Prod 
p. 805 # 19, 23, 26; pp. 812813 # 111 (odd), 21, 31, 39, 51 

F 1/20 
12.4 Cross Product 
pp. 820821 # 3, 5, 8, 9, 11, 13, 19; Exit Question 124 

Week 2 
Section(s) to Read 
Problems Assigned (due next class) 
Other Work 
M 1/23 
12.5 Lines, Planes 
pp. 829830 # 121 (odd), 23, 24, 25; Exit Question 123 

W 1/25 
12.5, 12.6 Lin, Plan, Q. Surf 
p. 830 # 2735 (odd); pp. 837838 # 17 (odd), 11, 21 

Th 1/26 
12.6 Quadric Surfaces 
pp. 837838 # 4, 6, 13, 15, 17, 19, 23, 25, 41, 42, 43; Exit Question 125 
Quiz # 2 (Sects. 12.112.5) 
F 1/27 
12.7 Cyl, Spher Coords 
pp. 842843 # 1, 2, 3, 9, 15, 19, 23, 27, 31, 32, 33, 49, 57, 59; Exit Question 126 

Week 3 
Section(s) to Read 
Problems Assigned (due next class) 
Other Work 
M 1/30 
13.1 V Fct, Space Curve 
pp. 855856 # 1, 3, 5, 7, 9, 19, 21, 23; Exit Question 131 

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 132 
Quiz # 3 (Sects. 12.613.1) 
F 2/3 
13.3 Arc Length, Curv 
pp. 868869 # 1, 3, 9, 13, 15; Exit Question 133 

Week 4 
Section(s) to Read 
Problems Assigned (due next class) 
Other Work 
M 2/6 
13.4 Veloc, Accel 
pp. 878879 # 2, 3, 5, 7, 9, 15; Exit Question 134 (email); not to hand in 

W 2/8 


Question day 
Th 2/9 


Exam # 1 (12.112.7, 13.113.4) 
F 2/10 
14.1 Fctns of Sev Vars 
pp. 897899 # 1, 515 (odd), 1925 (odd), 31, 35, 37, 43 (30, 33, 34, 36) ; Exit Question 141 

Week 5 
Section(s) to Read 
Problems Assigned (due next class) 
Other Work 
M 2/13 
14.2 Limits, Continuity 
pp. 908909 # 1, 2, 519 (odd), 31, 35; Exit Question 142 

W 2/15 
14.3 Partial Derivatives 
pp. 919921 # 1, 3, 5, 8, 13, 17, 27, 35, 47, 53, 57; Exit Question 143 

Th 2/16 
14.3, 14.4 PD, T Plane, Lin App 
pp. 919921 # 4, 33, 37, 49; p. 930 # 15 (odd) 
Quiz # 4 (Sects. 14.1, 14.2, 14.3) 
F 2/17 
14.4 T Plane, Lin Approx 
pp. 930931 # 1119 (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 # 111 (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. 951952 # 713 (odd), 17, 18, 19, 21, 29, 36; ; Exit Question 144 

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. 961962 # 17 (odd), 27, 29; Exit Question 145 

W 3/1 


Maple Lab # 2, Jeanmarie 288, due M 3/6 
Th 3/2 
14.7 Optimization 
pp. 961962 # 2, 4, 11, 13, 31, 39, 41, 45 
Quiz # 6 (Sects. 14.6, 14.7) 
F 3/3 
14.8 Lagrange Multipliers 
pp. 970971 # 17 (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 (14.114.8) 
F 3/10 
15.1 Double Integrals 
pp. 988989 # 111 (odd) ; Exit Question 151 

Week 9 
Section(s) to Read 
Problems Assigned (due next class) 
Other Work 
M 3/20 
15.2 Iterated Integrals 
pp. 994995 # 119 (odd), 2129 (odd) 

W 3/22 
15.3 Double Int, General 
pp. 10021003 # 3, 917 (odd), 2127 (odd), 41, 43, 45,49 

Th 3/23 
15.4 Double Int, Polar 
pp. 10081009 # 17 (all), 1115 (all), 19, 21, 25, 31 (33) ; Exit Question 152 
Quiz # 7 (Sects. 15.1, 15.2, 15.3) 
F 3/24 
15.5 Double Int, Applicat 
p. 1018 # 113 (odd) 

Week 10 
Section(s) to Read 
Problems Assigned (due next class) 
Other Work 
M 3/27 
15.6 Surface Area 
p. 1022 # 111 (odd) (23) 

W 3/29 
15.7 Triple Integrals 
pp. 10301031 # 311 (odd), 17, 25, 31; Exit Question 153 

Th 3/30 
15.7, 15.8 Triple Integrals 
pp. 10301031 # 13, 15, 19, 33; pp. 10371038 # 1, 511 (odd) 
Quiz # 8 (Sects. 15.4, 15.5. 15.6) 
F 3/31 
15.8 Trip Int, Cyl, Spher 
pp. 10371038 # 3, 6, 8, 1723 (odd), 33, 35; Exit Question 154 

Week 11 
Section(s) to Read 
Problems Assigned (due next class) 
Other Work 
M 4/3 
15.9 Change of Variables 
p. 1048 # 19 (odd) ; Exit Question 155 

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 # 1115 (odd), 19, 21; p. 1060 # 111 (odd) ; Exit Question 161 
Quiz # 9 (Sects. 15.7, 15.8) 
F 4/7 
16.1, 16.2 Vect Fields, Line Int 
pp. 10601061 # 1215 (all), 21, 23, 29, 31; p. 1071 # 111 (odd) ; Exit Question 162 

Week 12 
Section(s) to Read 
Problems Assigned (due next class) 
Other Work 
M 4/10 
16.2, 16.3 Line Int, FTLI 
pp. 10721073 # 13, 17, 18, 19, 21, 25a, 37, 39 

W 4/12 
16.3, 16.4 FTLI, Green’s Thm 
pp. 10811082 # 1, 2, 3, 523 (odd) ; Exit Question 163 

Th 4/13 
16.4 Green’s Thm 
p. 1089 # 1, 2, 3, 711 (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 (15.115.9, 16.116.4) 
F 4/21 
16.5 Curl, Divergence 
pp. 10961097 # 111 (odd), 12, 13, 15, 19, 23, 25; ; Exit Question 164 

Week 14 
Section(s) to Read 
Problems Assigned (due next class) 
Other Work 
M 4/24 
16.6 Par Surfaces, Area 
pp. 11061108 # 1, 3, 11, 13, 17, 19, 31, 35, 37, 39; ; Exit Question 165 

W 4/26 


Maple Lab # 4, Jeanmarie 288, due M 5/1 
Th 4/27 
16.7 Surface Integrals 
pp. 11191120 # 513 (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 # 111 (odd) 

W 5/3 
16.8, 16.9 Stokes’, Div Thms 
pp. 11321133 # 2, 4, 8, 10, 15; not to hand in 

Th 5/4 
16.9 Divergence Thm 
See Chapters 1216 Reviews on pp. 844846, 881883, 974977, 10491051, 11341137 

F 5/5 


FINAL CLASS; Course Evaluations 
T 5/9 9:0011:30 AM 


CUMULATIVE FINAL EXAM 