Math 8, Calculus of Functions of One and Several Variables (Spring  2009)



Syllabus and Homework Assignments

Translation between 5th and 6th editions


Webwork Login Page                                

 Webwork Information


 Midterm 1 (answers) , Midterm 2 (answers)


What will  you be able to do after completing (successfully)  this course: You might be familiar with an integration/anti-derivative and how to solve a given integral  by substitution. You will learn to integrate more complicated functions like product of two functions, combination of trig functions etc. You will learn some  new concepts called “sequences’’ and “series’’ (which is essentially adding infinitely many terms).  You  will learn methods/tests  to answer “ when do you get a finite number after adding given infinitely many terms?”.  I am sure you will love this part.   We will spend some time to learn some geometry e.g. how to write an equation of a line, plane etc. At the end you will be able to know how to differentiate a function of two/three variables. In this topic you will study partial derivatives, directional derivatives and some applications (computing minima and maxima of a given function).

Welcome to Math8!

Instructor and General Information


Meera Mainkar

Office: 210 Kemeny Hall

Office hours: Mondays, Wednesdays 3:30-5 pm,
                       and  by appointments

Phone: 646-2293  or BlitzMail (preferred)

  • Textbook: Calculus (6th edition) by James Stewart
    (Available at Wheelock Books)
  • It is each student's responsibility to be aware of academic deadlines as enforced by the Registrar.
  • Students with learning, physical, or psychiatric disabilities enrolled in this course who may need disability-related accommodations are encouraged to meet with your instructor before the end of the second week of the term. All discussions will remain confidential, although the Student Accessibility Services office may be consulted.

The Honor Principle

  • On Exams: No help given or received. No calculators or computers are allowed.
  • On Homework: Collaboration is permitted and encouraged -- a discussion of the general idea of the problem(s) with instructors, tutors, fellow students and others is desirable. However, each student is expected to complete his or her assignments individually and independently. Computing devices are allowed on homework

Lectures and Exams


MWF 11:15 – 12:20
(x hour Tuesday 12 – 12:50)

006 Kemeny Hall

  • Do not use computers during the classes.
  • X-hour will be used only if needed to replace a class.
  • There will be two midterm examinations and a final examination. These exams are scheduled as follows:

Exam I


April 20

Kemeny 008

5:00 -- 7:00 pm

Exam II


May 6

Kemeny 008

5:00 -- 7:00 pm

Final Exam


June 6

Location TBA

8:00-11:00 am

  • If you have a legitimate conflict with these exam dates and times, please contact your instructor as soon as possible. Please do not wait until shortly before the exam.

Homework and Tutorials

  • Homework sets will be assigned for each class and will normally be in two parts (see the course assignment webpage). The part to be submitted is due before the beginning of the next class period. The second part is not to be turned in, but some complete solutions are available via the web (see below).
  • The graded portion of each homework assignments will be submitted via the web using WeBWorK. If you do not receive an e-mail assigning you a login name and password for WeBWorK, then you should contact your instructor via e-mail as soon as possible:
  • Please note that WeBWorK will not accept assignments past the closing date. Typically, assignments for Monday lectures will close Wednesday afternoon, assignments for Wednesday lectures will close Friday afternoon and assignments for the Friday lectures will close Monday afternoon. There will be appropriate adjustments for holidays.
  • The second part of the assignment will consist mostly of odd numbered problems from the text. You can login to (using the password supplied in lecture) to see complete solutions of many of these problems. Note that hotmath currently only has 5th edition answers available. Many of these correspond to sixth edition problems; we have provided a translation page for the practice problems.
  • Tutorial assistance for this course - that is, help with your homework - will be available Sunday, Tuesday, and Thursday evenings 7 - 9pm, in Kemeny 105. Tutorials will begin on Tuesday, March 31 and run through Thursday, June 4 . Our tutors are Patricia Cahn and Katie Kinnaird.
  • Also note that the Tutor Clearinghouse may have private one-on-one tutors available for Math 8. The tutors are students who have taken the course and have done well in it, and are trained by the Academic Skills Center. If a student receives financial aid, the College will pay for three hours of tutoring per week. If you would like to have a tutor, please click here for more information.


  • The course grade will be based upon your total score on the two midterm exams, the final exam and the homework assignments for the course.

Midterm Exams

100 each

Final Exam


Webwork Homework