Calculus III

Internet Based

MATH 283

Online, outside of WebCampus

Term:	Spring, 2013 (January 19 - May)
Revision:	30 De 12
Credits:	4
Class Time:	Two or three lectures weekly.
You should set aside several definite times each week to work homework.
Instructor:	Frank Daniels
Instructor e-mail address:	gretinski@gmail.com	You need to know this!

Office:: Frank Daniels
Great Basin College
Ely Branch Campus
2115 Bobcat Drive
Ely, NV 89301
Phone:: (775) 289-3589 (office)
(775) 289-3599 (college fax)

Textbook: Calculus, Seventh Edition, by James Stewart
ISBN: 978-0-538-49781-7

This is the same textbook that was used for MATH 181 and MATH 182.
This book may be ordered through your outlet of choice. Click here to compare prices.
Optional Supplement:Student Solutions Manual,
by Daniel Anderson, Jeffery A. Cole, and Daniel Drucker
ISBN: 978-0-840-04949-0 This solutions manual may be ordered through your outlet of choice. Click here to compare prices.

Class Conditions:

You must be using a Windows-based system.
You must have a Web browser that is graphics capable and frames-capable. That browser must be set up to run JavaScript. The class assumes you are using Firefox or Internet Explorer.
You need an e-mail account somewhere to send and receive feedback. The class assumes that you know how to properly use e-mail and your browser.
Your Internet software must be installed and working. This class does not teach how to set up your Internet software.
You must have Microsoft Word 97 or higher on your system and know how to use it.
Your copy of MS Word must have the Equation Editor installed and working. Sometimes, the Equation Editor has not been installed. You can check this in Word 2007 by clicking the "Insert" menu at the top. The "Equation" item may be found near the right side of the ribbon. In earlier versions of MS Word, select the "Insert" menu from the list of menus at the top. From this menu, choose "Object." This should give you a list of all kinds of objects to insert. "Microsoft Equation" should be somewhere on the list. If it is not, you'll need to put your installation disc into your computer and make sure all of the Office tools are installed. The first lesson will familiarize you with the features of the Editor that we will use. Microsoft WORKS is not acceptable.

Class Description:
Prerequisite: MATH 182 or equivalent, recently.
A continuation of MATH 182. Topics include vectors, differentiation and integration of vector-valued functions, the calculus of functions of several variables, multiple integrals and applications, line and surface integrals, Green's Theorem, Stokes' Theorem, and the Divergence Theorem.
These topics correspond to chapters 13 - 17 of our textbook.
This course is NOT "self-paced". It is considerably difficult, but if you succeed in keeping up and ask questions about material that you do not understand, you will succeed. Remember that you have a "live" instructor who will answer your questions -- this is not a correspondence course.

Course Objectives:
The successful student will master all major concepts in differential and integral calculus, including some theory.

Learning Outcomes:
The successful student will be able to:

plot points and sketch the graphs of functions in three dimensions^1A
operate on vectors in three dimensions^1A
find the vector form of a line and the equation of a plane, using vectors^1A
distinguish and graph quadric surfaces¹
find vector and parametric equations for space curves, and sketch their graphs¹
find limits, derivatives, and integrals of vector-valued functions²
find arc length and curvature of space curves²
apply vector-valued functions to motion problems²
sketch the graphs of selected functions of several variables^3B
find limits, partial derivatives, directional derivatives, and gradients of functions of several variables
perform tangent plane approximation^3B
apply functions of several variables to optimization problems³
set up and evaluate double integrals in rectangular and polar coordinates^4C
set up and evaluate triple integrals in rectangular, cylindrical, and spherical coordinates^4C
apply double integration to volumes, moments, and expected values^4C
apply triple integration to volume, mass, and other areas^4D
plot vector fields^4E
find the gradient of a vector field^4E
perform line integration directly and using Green's Theorem^E
find the divergence and curl of a vector field^E
find the areas of parameterized surfaces, directly and using Stokes' Theorem^E
calculate flux using the Divergence Theorem^E
correctly identify conservative vector fields^E

Measurements: In order to provide accurate assessment of the learning outcomes, students will be tested regularly on the items documented above, as they are covered in the course. This testing includes homework, tests, and a final exam. Collectively, these instruments will measure the apprehension of all of the concepts listed above. In addition, since the material will be covered in the order shown above, the chapter tests will address the concepts in groups as follows: vectors and space geometry; vector-valued functions; functions of several variables; multiple integrals; vector fields. In addition, since the material will be covered in the order shown above, the tests will address the concepts in groups as indicated above with superscripts. Lettered superscripts A through E indicate HW 1 through 5.
Contact Note: Under no circumstances should you try to use WebCampus e-mail to contact the instructor. I have deactivated WebCampus mail for myself, and the course will not use WebCampus. If you try to contact me that way, I will not receive your e-mail. Please use only "regular" e-mail, and write to me to the address indicated above.
I strongly encourage you to ask questions relentlessly through e-mail. You may attach MS Word files to e-mail (preferred), ask via e-mail without attachments, or ask questions by fax or on the phone (discouraged, since you will be unable to see what I might write to you). I plan to answer all questions within 24 hours.
Students who ask questions regularly on the lessons (and on the "regular" homework) are far more likely to pass the course. Therefore, I encourage every one of you to ask frequently.

Calendar Note: This class ignores all holidays.
During Spring semesters, there is a one week break in "live" and IAV classes. This class continues straight through the break. Two lessons will appear during that week just as in any other week.
Withdrawal Policy: If you determine that you wish to drop the course prior to its conclusion, it is necessary for you to officially drop, either online through the college's website, or by visiting one of our college campuses and submitting a drop form. Any student who does not officially drop will receive a grade at the conclusion of the course. These grades will be based on the number of points that you have accumulated (see below). If you do not officially drop the course as described above, by taking this class you agree that your "last date of attendance" for official purposes will be the last day of this course. Since this may affect your financial aid, it behooves you to drop officially or to complete the entire course.

Instructional Methods:
Each week, there will be assigned readings from the book, which will be contained on each course lecture. I will provide lectures on the central points in each section that we cover. Portions of these lectures will be written with Microsoft Word, using the Equation Editor.
Feel free to ask questions on the phone, via e-mail, by fax, or (preferred) by attaching MS Word files to e-mail. I plan to answer all questions within 24 hours.

Homework Policy:
If you don't do homework, it is unlikely that you will pass the course. However, homework will not normally be collected for a grade. The student is expected to do half of the problems from each section that we cover. Test problems will be similar but not identical to those in the book. Occasionally (see below), I will ask that you turn in your homework to be graded. When I do this, you should submit your homework as MS Word files, attached to an e-mail message.

Grading:
The class is graded on four tests and various assignments, as follows:
4 tests, each worth 35 points. These will be sent by me via e-mail and must be completed without assistance in one weekend's time, typically due the Monday after they are assigned in the lessons. Most test problems will be difficult enough that you cannot simply copy something from the book, although you should remember that the methods are generally the same. These tests normally occur at the end of each chapter. Consequently, each test will be no longer than 14 questions. You will mail your completed tests back to me as attached files or may fax them. After they have been graded (usually by the following Thursday), I will post a message on the course calendar indicating that they have been graded, and you will e-mail me for your results. It is your responsibility to ask for your grades. This regular contact will also help keep you involved in the course.
5 homework assignments, each worth 20 points. These will be assigned at various times during the semester and will include a subset of your normal homework assignment. As with the other material, you will write the homework in MS Word and attach the file to an e-mail message. Homework must be completed on time.
1 Final Exam, worth 60 points. The test will be cumulative, covering all of the course material. It will be mailed out to you as an attached MS Word file, and you will complete it within 2 days. It will contain no more than 26 questions. Special: If you have an "A" average (216 points or better) going into the final, you do not have to take the final exam, but you must still hand in the final homework.

Therefore, the total number of points available for the semester is 300 points. The number of points required to obtain each grade is as follows:

A 270
B+ 255
B 240
C+ 225
C 210
D+ 195
D 180
F 0

Obtaining Your Grades:

Beginning four calendar days after homework or a test is due, you may inquire of the professor by e-mail as to your grade on that test or assignment. The professor will then inform you of your score. If the subsequent HW/testing opportunity has not yet arrived, the professor will also explain in writing anything that you may have missed.

The above is true for all assignments.

If you do not ask for your grades in a timely fashion -- keeping in touch with the professor by e-mail -- then you will not receive them. It is your responsibility to ask for grade information.

Calculating Your Score Mid-Semester:

At any point during the semester you may determine how you are doing in the class. Add your points so far – all of the points for the tests and quizzes that have occurred so far. Divide this sum by the number of available points so far. This will give your grade in decimal form. Multiplying that result by 100 will give you a percentage. For example, if there were 110 available points at some point during the semester, and you have accumulated 77 of them, then your percentage to date is: 7700/110 = 70. Your grade to date would be a “C”, based on the scale given above.

Academic Integrity:

The Nevada System of Higher Education expressly forbids all forms of academic dishonesty, including (but not limited to) all forms of cheating, copying, and plagiarism. Students who are discovered cheating will be assigned zero points for the current assignment. If the cheating is believed to be widespread -- to involve other students and/or to cover more than one assignment or test -- then all students involved will receive "F" grades for the course and will be brought to the GBC Academic Officers for prosecution. I will normally recommend that students found guilty in that instance be placed on one-year disciplinary probation.

Starting from scratch:

This class is accessed from the Internet. Therefore, there has to be some pre-knowledge. I need to have you send me an e-mail message telling me you are ready to begin, and you need to do this by January 26^th, 2013. If you need to find some help to get started, you can always e-mail or phone me at the college building.

Getting started:

Purchase the book ahead of time.
Have your Internet access installed, and know how to use it.

Examine the Course Calendar.

The Calendar indicates the file name of each lesson.
Every lesson is located in the folder: http://cot.gbcnv.edu/~fdaniels/math283.
Enter this each time, followed by the file name. For example, the first lesson is http://cot.gbcnv.edu/~fdaniels/math283/283-01.htm.
You will obtain the course calendar by clicking here.

Familiarize yourself with MS Word and the Equation Editor.
Retrieve your first lesson, which will be posted as a web page (available through the course calendar in WebCampus). If you cannot access the page by January 26th, even though your WebCampus access is active, e-mail me by write to me immediately via e-mail.
NOTE: If you are taking this course through independent study, retrieve the first lesson here.
Read the book and lecture material for lesson 1, and notice that Lesson 2 will arrive on Wednesday.
PLEASE ask questions about any material that you find difficult to understand!

You must not take this course if you have not had MATH 182 or the equivalent within two years

Good luck!

Textbook: Calculus, Seventh Edition, by James Stewart ISBN: 978-0-538-49781-7	This is the same textbook that was used for MATH 181 and MATH 182. This book may be ordered through your outlet of choice. Click here to compare prices.
Optional Supplement:Student Solutions Manual, by Daniel Anderson, Jeffery A. Cole, and Daniel Drucker ISBN: 978-0-840-04949-0	This solutions manual may be ordered through your outlet of choice. Click here to compare prices.

Class Description:	Prerequisite: MATH 182 or equivalent, recently. A continuation of MATH 182. Topics include vectors, differentiation and integration of vector-valued functions, the calculus of functions of several variables, multiple integrals and applications, line and surface integrals, Green's Theorem, Stokes' Theorem, and the Divergence Theorem. These topics correspond to chapters 13 - 17 of our textbook. This course is NOT "self-paced". It is considerably difficult, but if you succeed in keeping up and ask questions about material that you do not understand, you will succeed. Remember that you have a "live" instructor who will answer your questions -- this is not a correspondence course.
Course Objectives:	The successful student will master all major concepts in differential and integral calculus, including some theory.
Learning Outcomes:	The successful student will be able to: plot points and sketch the graphs of functions in three dimensions^1A operate on vectors in three dimensions^1A find the vector form of a line and the equation of a plane, using vectors^1A distinguish and graph quadric surfaces¹ find vector and parametric equations for space curves, and sketch their graphs¹ find limits, derivatives, and integrals of vector-valued functions² find arc length and curvature of space curves² apply vector-valued functions to motion problems² sketch the graphs of selected functions of several variables^3B find limits, partial derivatives, directional derivatives, and gradients of functions of several variables perform tangent plane approximation^3B apply functions of several variables to optimization problems³ set up and evaluate double integrals in rectangular and polar coordinates^4C set up and evaluate triple integrals in rectangular, cylindrical, and spherical coordinates^4C apply double integration to volumes, moments, and expected values^4C apply triple integration to volume, mass, and other areas^4D plot vector fields^4E find the gradient of a vector field^4E perform line integration directly and using Green's Theorem^E find the divergence and curl of a vector field^E find the areas of parameterized surfaces, directly and using Stokes' Theorem^E calculate flux using the Divergence Theorem^E correctly identify conservative vector fields^E
Measurements:	In order to provide accurate assessment of the learning outcomes, students will be tested regularly on the items documented above, as they are covered in the course. This testing includes homework, tests, and a final exam. Collectively, these instruments will measure the apprehension of all of the concepts listed above. In addition, since the material will be covered in the order shown above, the chapter tests will address the concepts in groups as follows: vectors and space geometry; vector-valued functions; functions of several variables; multiple integrals; vector fields. In addition, since the material will be covered in the order shown above, the tests will address the concepts in groups as indicated above with superscripts. Lettered superscripts A through E indicate HW 1 through 5.
Contact Note:	Under no circumstances should you try to use WebCampus e-mail to contact the instructor. I have deactivated WebCampus mail for myself, and the course will not use WebCampus. If you try to contact me that way, I will not receive your e-mail. Please use only "regular" e-mail, and write to me to the address indicated above. I *strongly encourage you* to ask questions relentlessly through e-mail. You may attach MS Word files to e-mail (preferred), ask via e-mail without attachments, or ask questions by fax or on the phone (discouraged, since you will be unable to see what I might write to you). I plan to answer all questions within 24 hours. Students who ask questions regularly on the lessons (and on the "regular" homework) are far more likely to pass the course. Therefore, I encourage every one of you to ask frequently.
Calendar Note:	This class ignores all holidays. During Spring semesters, there is a one week break in "live" and IAV classes. This class continues straight through the break. Two lessons will appear during that week just as in any other week.
Withdrawal Policy:	If you determine that you wish to drop the course prior to its conclusion, it is necessary for you to officially drop, either online through the college's website, or by visiting one of our college campuses and submitting a drop form. Any student who does not officially drop will receive a grade at the conclusion of the course. These grades will be based on the number of points that you have accumulated (see below). If you do not officially drop the course as described above, by taking this class you agree that your "last date of attendance" for official purposes will be the last day of this course. Since this may affect your financial aid, it behooves you to drop officially or to complete the entire course.
Instructional Methods:	Each week, there will be assigned readings from the book, which will be contained on each course lecture. I will provide lectures on the central points in each section that we cover. Portions of these lectures will be written with Microsoft Word, using the Equation Editor. Feel free to ask questions on the phone, via e-mail, by fax, or (preferred) by attaching MS Word files to e-mail. I plan to answer all questions within 24 hours.
Homework Policy:	If you don't do homework, it is unlikely that you will pass the course. However, homework will not normally be collected for a grade. The student is expected to do half of the problems from each section that we cover. Test problems will be similar but not identical to those in the book. Occasionally (see below), I will ask that you turn in your homework to be graded. When I do this, you should submit your homework as MS Word files, attached to an e-mail message.
Grading:	The class is graded on four tests and various assignments, as follows: 4 tests, each worth 35 points. These will be sent by me via e-mail and must be completed without assistance in one weekend's time, typically due the Monday after they are assigned in the lessons. Most test problems will be difficult enough that you cannot simply copy something from the book, although you should remember that the methods are generally the same. These tests normally occur at the end of each chapter. Consequently, each test will be no longer than 14 questions. You will mail your completed tests back to me as attached files or may fax them. After they have been graded (usually by the following Thursday), I will post a message on the course calendar indicating that they have been graded, and you will e-mail me for your results. It is your responsibility to ask for your grades. This regular contact will also help keep you involved in the course. 5 homework assignments, each worth 20 points. These will be assigned at various times during the semester and will include a subset of your normal homework assignment. As with the other material, you will write the homework in MS Word and attach the file to an e-mail message. Homework must be completed on time. 1 Final Exam, worth 60 points. The test will be cumulative, covering all of the course material. It will be mailed out to you as an attached MS Word file, and you will complete it within 2 days. It will contain no more than 26 questions. Special: If you have an "A" average (216 points or better) going into the final, you do not have to take the final exam, but you must still hand in the final homework.