Calculus 3 - Spring 2011

COURSE: MATH 2110-001
CALL #12814
TIME AND PLACE: 11:30-12:25 MWF and 11:15-12:10 R in Rogers-Stout 120

INSTRUCTOR: Dr. Robert Gardner
OFFICE HOURS: 12:30 to 1:30 MWF
OFFICE: Room 308F of Gilbreath Hall
PHONE: 439-6979 (308F Gilbreath), Math Department Office 439-4349
E-MAIL: gardnerr@etsu.edu
WEBPAGE: https://faculty.etsu.edu/gardnerr/gardner.htm (see my webpage for a copy of this course syllabus, copies of the classnotes in PDF format, and updates for the course).

TEXTS: Thomas' Calculus, Early Transcendentals, 12th edition, by G. Thomas, M. Weir, and J. Hass (2010).

CLASS NOTES: We will use overheads for most of the lecture, except for problem solving and working examples. Copies of the overheads are on the web at:

https://faculty.etsu.edu/gardnerr/2110/Notes-12E/notes.htm.
It is strongly recommended that you get copies of the overheads before the material is covered in class. This will save you from writing down most notes in class and you can concentrate on listening and supplementing the notes with comments which you find relevant.

ADDITIONAL RESOURCES: Instructor's Solution Manual, Part Two by W. Ardis, J.E. Borzellino, L. Buchanan, A.T. Mogill, P. Nelson contains worked-out solutions for all exercises in the text. Answer Book by by W. Ardis, J.E. Borzellino, L. Buchanan, A.T. Mogill, P. Nelson contains short answers to most exercises in the text. Student Outline, Part Two by J.E. Borzellino and P.Nelson, is a study guide which summarizes some of the course information. Student's Solution Manual, Part Two by W. Ardis, J.E. Borzellino, L. Buchanan, A.T. Mogill, P. Nelson contains worked-out solutions to all odd-numbered exercises in the text. A copy of each of these additional resources is on reserve in the Sherrod Library.

CALCULATORS: This is a math class which will illustrate mathematical concepts, not a physics, engineering, or accounting class. Therefore, there will be little to no need for calculators. During lectures when (in the rare event) a messy computation must be processed, I will use an online scientific calculator, such as the one available at www.calculator.com/calcs/calc_sci.html. Of course, the use of calculators on the tests is not allowed.

GRADING: Your grade will be determined by the average on four tests (T1-T4) and the comprehensive final (F). Your average is determined by

AVERAGE = (T1 + T2 + T3 + T4 + 2F)/6.
Grades will be assigned based on a 10 point scale with "plus" and "minus" grades being assigned as appropriate (based on grade points assigned by the university, on a plus/minus 3 point system). There are no options for extra credit and the only way to earn bonus points will be provided on the four tests. Any questions about how a test was graded should be addressed within one week of the return of the graded test. These policies are non-negotiable.

THE FINAL: We will have a comprehensive final on Monday, May 2 from 3:50 p.m. to 5:50 p.m.

TEST SOLUTIONS: PDF files of test solutions will be available here:

GATEWAY EXAM: There is no Gateway Exam for Calculus 3.

CENTER FOR ACADEMIC ACHIEVEMENT: Located on the first floor of the Sherrod Library, the Center for Academic Achievement (CFAA) is the place to go for help with writing and speaking, library research, core math and science courses, and other subjects. The center offers tutoring on a walk-in and appointment basis and is open during library hours, including nights and weekends. Call 439-7848 or go to www.etsu.edu/academicaffairs/cfaa for more information.

ONLINE HELP: The Addison Wesley Longman Math Tutor Center is available online at

www.awl.com/tutorcenter.
It provides assistance to students who take calculus and purchase a mathematics textbook published by Addison Wesley Longman. Help is provided via phone, fax, and e-mail. Students who use the service will be helped by tutors who are qualified mathematics instructors.

CD-ROM AND WEB SITE: The CD-ROM included with the text has several interactive features and tutorials. It includes video clips of real-world situations which provide motivation for learning and applying calculus. The Interactive Calculus Tutorial (www.awl.com/thomas) is an online tutorial which lets students review textbook-specific material by chapter through practice quizzes and diagnostic feedback on their performance. The Skill Mastery Quizzes are a collection of chapter-by-chapter quizzes on the web site which can be administered and graded online for skills-based mastery assessment.

STUDENT SUPPORT SERVICES: Student Support Services provides free individual tutoring to qualified individuals through their NEXUS program. The criteria state that the student must be: (1) a first-Generation College student, meaning, neither of your natural parents has completed a four-year college degree, (2) income eligible, or (3) a student with a documented disability. For more details, see:

www.etsu.edu/sss/

DESIRE2LEARN: I have created an extensive discussion list on the Desire2Learn ("elearn") website. There is a discussion forum for each section of the calculus book and each test. You can log in at: https://elearn.etsu.edu/. I will not likely post other material on Desire2Learn, but will simply post it directly on the internet.

SYLLABUS ATTACHMENT: You can find an on-line version of the university's syllabus attachment (which contains general information concerning advisement, honor codes, dropping, etc.) at:

http://www.etsu.edu/reg/documents/PDF/Spring_2011_Syllabus_Attachment.pdf.

NOTE: As you have seen in Calculus 1 and 2, calculus is the "mathematics of motion." Many applications of the Calculus 3 material involve motion, dynamics, and physical models. Because of this connection with the physical sciences, calculus is one of the most applicable areas of mathematics. You will see many of the concepts in this class again if you take a junior or senior level physics or chemistry class. This material is certainly not easy, though! You should plan on investing a great deal of time in this class. If you allot an appropriate amount of time for your studies (at least 2 hours outside of class for each hour spent in class) then I think this can be a pleasant and rewarding (intellectually and grade-wise) experience! I will post test solutions online after each test. As a result, I will only consider questions about how your test was graded during the week following a test.

EINSTEIN'S THEORY OF RELATIVITY: I will be teaching a Special Topics (MATH 4957) class on differential geometry and relativity during 2011 Summer Term 2. This will build on Sections 13.4 and 13.5 of our class. The prerequisites are Calculus 3 and Linear Algebra (a bit of physics exposure would be helpful as well). For details, click here.

IMPORTANT DATES:
Monday, January 17 = Martin Luther King Day Holiday.
Wednesday, January 26 = Last day for 75% refund of fees.
Wednesday, January 26 = Last day to drop without a grade of "W."
Thursday, February 3 = Test 1 (11.1-12.1).
Wednesday, February 9 = Last day for 25% refund of fees.
Thursday, Thursday March 3 = Test 2 (12.2-13.5).
March 7 to March 11 = Spring Break Holiday.
Wednesday, March 9 = Last day to drop without dean's permission.
Thursday, March 31 = Test 3 (14.1-14.7).
Thursday, April 21 = Test 4 (15.1-15.8).
Friday, April 22 = Good Friday Holiday.
Wednesday, April 27 = Last day to withdraw from the university.
Friday, April 29 = Last day of class.
Monday, May 2 = Comprehensive final, 3:50 p.m. to 5:50 p.m.

We will follow this tentative outline. "EOO" means Every Other Odd (that is, 1, 5, 9, 13, etc.). Notice that each regular test is scheduled for a Thursday.

DATE
AGENDA
HOMEWORK
THR 1/13
Intro, 11.1 = Parametrizations of Plane Curves
11.1 = 1-37 (EOO)
FRI 1/14
11.2 = Calculus with Parametric Curves
11.2 = 1-45 (EOO)
MON 1/17
Martin Luther King Day Holiday
-
WED 1/19
11.3 = Polar Coordinates
11.3 = 1-65 (EOO)
THR 1/20
Problem Day
-
FRI 1/21
11.4 = Graphing in Polar Coordinates
11.4 = 1-25 (EOO)
MON 1/24
11.5 = Areas and Lengths in Polar Coordinates
11.5 = 1-29 (EOO)
WED 1/26
11.6 = Conic Sections
11.6 = 1-77 (EOO)
THR 1/27
Problem Day
-
FRI 1/28
11.7 = Conics in Polar Coordinates
11.7 = 1-61 (EOO)
MON 1/31
12.1 = Three Dimensional Coordinate Systems
12.1 = 1-65 (EOO)
WED 2/2
Review
-
THR 2/3
Test 1 (11.1-12.1)
-
FRI 2/4
12.2 = Vectors
12.2 = 1-53 (EOO)
MON 2/7
12.3 = Dot Product
12.3 = 1-49 (EOO)
WED 2/9
12.4 = Cross Product
12.4 = 1-49 (EOO)
THR 2/10
Problem Day
-
FRI 2/11
12.5 = Lines and Planes in Space
12.5 = 1-69 (EOO)
MON 2/14
12.6 = Cylinders and Quadric Surfaces
12.6 = 1-45 (EOO)
WED 2/16
13.1 = Curves in Space and Their Tangents
13.1 = 1-33 (EOO)
THR 2/17
Problem Day
-
FRI 2/18
13.2 = Integrals of Vector Functions
13.2 = 1-37 (EOO)
MON 2/21
13.3 = Arc Length in Space
13.3 = 1-21 (EOO)
WED 2/23
13.4 = Curvature and Normal Vectors of a Curve
13.4 = 1-21 (EOO)
THR 2/24
Problem Day
-
FRI 2/25
13.5 = Tangential and Normal Components of Acceleration
13.5 = 1-25 (EOO)
MON 2/28
13.6 = Velocity, Acceleration, Kepler's Laws
-
WED 3/2
Review
-
THR 3/3
Test 2 (12.2-13.5)
-
FRI 3/4
14.1 = Functions of Several Variables
14.1 = 1-65 (EOO)
3/7 -3/11
Spring Break Holiday
-
MON 3/14
14.2 = Limits and Continuity in Higher Dimensions
14.2 = 1-49 (EOO)
WED 3/16
14.3 = Partial Derivatives
14.3 = 1-85 (EOO)
THR 3/17
Problem Day
-
FRI 3/18
14.4 = The Chain Rule
14.4 = 1-49 (EOO)
MON 3/21
14.5 = Directional Derivatives and Gradient Vectors
14.5 = 1-37 (EOO)
WED 3/23
14.6 = Tangent Planes and Differentials
14.6 = 1-65 (EOO)
THR 3/24
Problem Day
-
FRI 3/25
14.7 = Extreme Values and Saddle Points
14.7 = 1-65 (EOO)
MON 3/28
15.1 = Iterated Integrals over Rectangles
15.1 = 1-25 (EOO)
WED 3/30
Review
-
THR 3/31
Test 3 (14.1-14.7)
-
FRI 4/1
15.2 = Double Integrals over General Regions
15.2 = 1-77 (EOO)
MON 4/4
15.3 = Area by Double Integration
15.3 = 1-25 (EOO)
WED 4/6
15.4 = Double Integrals in Polar Form
15.4 = 1-41 (EOO)
THR 4/7
Problem Day
-
FRI 4/8
15.5 = Triple Integrals in Polar Form
15.5 = 1-45 (EOO)
MON 4/11
15.6 = Moments and Centers of Mass
15.6 = 1-33 (EOO)
WED 4/13
15.7 = Triple Integrals in Cylindrical and Spherical Coordinates
15.7 = 1-61 (EOO)
THR 4/14
Problem Day
-
FRI 4/15
15.8 = Substitutions in Multiple Integrals
15.8 = 1-25 (EOO)
MON 4/18
14.8 = Lagrange Multipliers
14.8 = 1-37 (EOO)
WED 4/20
Review
-
THR 4/21
Test 4 (15.1-15.8)
-
FRI 4/22
Good Friday Holiday
-
MON 4/25
14.9 = Taylor's Formula of Two Variables
14.9 = 1-11 ODD
WED 4/27
14.10 = Partial Derivatives with Constrained Variables
14.10 = 1-11 ODD
THR 4/28
Problem Day
-
FRI 4/29
Review
-
MON 5/2
Comprehensive Final (3:50-5:50 p.m.)
-

Return to Bob Gardner's home page.
Last updated: February 28, 2011.