Calculus II

Internet Based

MATH 182

Section I 01

Term:Fall, 2010 Textbook:
Calculus, Sixth Edition, by James Stewart
ISBN: 0-495-01160-6

This book may be ordered through your outlet of choice.
This is the same textbook that was used for MATH 181 and will be used for MATH 283.

Optional Supplement:
Student Solutions Manual, by Daniel Anderson, Jeffery A. Cole, and Daniel Drucker
ISBN: 0-495-01234-3

Click here to compare textbook prices at various outlets.

Revision: 25 Jn 2010
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:
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)

Class Conditions:

  1. You must be using a Windows based system (95 or higher).
  2. You must have Microsoft Word 97 or higher on your system and know how to use it.
  3. You should have your own access to the Internet through a commercial provider.
  4. 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 Netscape version 7.2, or Firefox, or Internet Explorer version 6 -- or higher.
  5. 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.
  6. You must have Microsoft Word installed on your computer, with the Equation Editor installed and working.
  7. You must have obtained a WebCampus account from the Tech Desk and familiarize yourself with that account. You may e-mail the Tech Desk by clicking on the link.

Class Description:

Prerequisite: MATH 181 or equivalent, recently.
A continuation of MATH 181. The course covers transcendental functions, methods of integration, conic sections and polar coordinates, sequences and series, and power series.
These topics correspond to chapters 6 - 9, 11, and 12 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.

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 by attaching MS Word files to e-mail. I plan to answer all questions within 24 hours.

Learning Outcomes:

The successful student will be able to:
  • distinguish between and apply the integral to area, volume, work, and average value1
  • find the derivative of an inverse function2
  • apply calculus to exponential functions and logarithms2
  • apply calculus to inverse trigonometric functions2
  • find limits using L'Hôpital's Rule2
  • distinguish between and apply the techniques of integration, including linear approximation3
  • perform integration with infinite limits and/or where the function is infinite at a limit of integration3
  • find the length of an arc, using one variable and parametrically4
  • find the area of a surface of revolution, using one variable and parametrically4
  • convert between rectangular and polar coordinates4
  • apply calculus in polar coordinates4
  • determine whether sequences and series converge, using appropriate tests4
  • apply calculus to power series representations of functions4


In the list of outcomes, above, the superscripts indicate the exam that measures the outcome. In addition to that exam, the homework assignments are also used to measure apprehension of the material, and the final exam measures knowledge in all of the above areas.

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.

Calendar Note:

NOTE about Spring Break:
During Spring semesters, there is a one week break in "live" and IAV classes. This class ignores all holidays and continues straight through the break. Two lessons will appear during that week just as in any other week. This paragraph does not apply during Fall semesters.

Contact Note:

Never -- under any circumstances -- try to use WebCampus e-mail to contact the instructor. I have deactivated WebCampus mail for myself and have removed it from the course. 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.

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.

Measurements and Grading:

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 howework, tests, and a final exam. The class is graded on four tests and five 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, due the Friday or Monday after they are assigned in the lessons. They will generally occur as we finish chapters and will be announced during the lessons that immediately precede them. 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. Consequently, each test will be no longer than 10 questions. You will mail your completed tests back to me as attached files or may fax them. After they have been graded (usually the Thursday following their due date), I will post a message indicating this, and you will e-mail me after that time for your test grade.

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 216 points or better prior to 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

Academic Integrity:

The Nevada System of Higher Education Code (§6.2.2q) 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 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 the Friday that ends Week 1. If you need to find some help to get started, you can always e-mail or phone me at the college building.

Getting started:

  1. Purchase the book ahead of time.
  2. Have your Internet access installed and ready. Know your user name.
  3. Become acquainted with the WebCampus environment. The course material will appear in the Calendar.
  4. Familiarize yourself with MS Word and the Equation Editor.
  5. 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 the Friday that ends Week One, even though your WebCampus access is active, e-mail me by write to me immediately via e-mail.
  6. Read the book and lecture material for lesson 1, and notice that Lesson 2 will arrive on Wednesday.
  7. PLEASE ask questions about any material that you find difficult to understand!
You must not take this course if you have not had MATH 181 or the equivalent within two years

Good luck!

All lessons are © 2000, 2008 Frank Daniels
and are licensed to Great Basin College