Math 8
Calculus of Functions of One and Several Variables
Last updated March 22, 2016 12:07:56 EDT

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General Information

Goals and Expectations The Textbook Scheduled Lectures
Instructors Examinations Homework Policy
Honor Principle Grades Tutorials Special Considerations

Goals, Teaching Methods, and Expectations

Course Goals

This course is a sequel to MATH 3 and is appropriate for students who have successfully completed an AB calculus curriculum in secondary school. The first third of the course is devoted to topics in one-variable calculus such as Taylor series, techniques of integration, and trigonometric integrals. The second third of the course introduces vector-valued functions. It begins with the study of vector geometry, equations of lines and planes, and space curves. The last third of the course is devoted to studying differential calculus of functions of several variables. Topics include limits and continuity, partial derivatives, tangent planes and differentials, the Chain Rule, directional derivatives, and optimization problems including the use of Lagrange multipliers.

Overall course goal: Students will be able to solve problems on these topics and their applications, and to explain their solutions.

Teaching Methods

During a typical class period, we may use the projector, use the blackboard, ask questions of the class, and ask for individual or small group work on your own in class. We ask you to work on problems in class because this is a good way to learn, and we call on you to ask for your ideas on a topic because we want to get feedback and hear from everyone. This should not be regarded as a performance test.

General Expectations

Attendance in class is highly desirable but not mandatory. However, class participation will be considered in assigning letter grades in borderline cases.

Reading is assigned each class day according to the course schedule. These assignments are intended to help you to stay on top of the material.

Homework is also assigned each class day. Information about due dates and grading policies is in the Homework section below. We encourage you to discuss your grading concerns early in the term.

Please make ample use of the office hours, which offer you one-on-one teaching and provide us with valuable feedback. Also, please make use of the tutorials.


There is no required textbook for this course.

Calculus (Seventh edition) by James Stewart is a good reference. We have also linked to some free online calculus texts from the Math 8 Canvas web page. One of them is here . If you want to get started on the reading, start with Chapter 9, sections 9.1 and 9.2, and then Chapter 10, sections 10.1, 10.2, and 10.3.

Scheduled Lectures

(Section 1) Groszek (Section 2) Herbrich (Tutorial) Schiavone
MWF 10:00 - 11:05
(x-hour) Thu 12 - 12:50
MWF 11:15 - 12:20
(x-hour) Tu 12 - 12:50
STuTh 7:00-9:00
Room TBD Room TBD Kemeny 105


Professor M. Groszek Professor P. Herbrich TA S. Schiavone
Office: 330 KemenyOffice: 334 KemenyTutorial Room: Kemeny 105
Office Hours: MTh2:00-3:30, and by appointment Office Hours: MWF 1:45-2:45 (on class days), and by appointment Tutorial : STuTh 7:00-9:00
Contact via email. Contact via email. Contact via email.


There will be two "midterm exams" and a final exam.

The first midterm will be on unit 1 of the course, Taylor polynomials and series and techniques and applications of integration, through Friday, April 16. The second midterm will be on unit 2, vectors and vector-valued functions, through Friday, May 6. The final will be cumulative, with an emphasis on the third unit of the course, functions of several variables and partial derivatives.

The exams are tentatively scheduled as follows. See the Special Considerations section for information on schedule conflicts.

Exam 1 Wednesday, 4/20, 4:00-6:00 pm Room TBD
Exam 2 Wednesday, 5/11, 4:00-6:00 pm Room TBD
Final Exam Thursday, 6/2, 11:30-2:30 pm Room TBD

Homework Policy


The course grade will be based upon the scores on the midterm exam, homework, and the final exam as follows:

Webwork 8 percent
Preliminary homework 2 percent
Standard homework 5 percent
Exam 1 (on first unit) 25 percent
Exam 2 (on second unit) 25 percent
Final Exam (cumulative) 35 percent
Total 100 percent

The Honor Principle

Academic integrity is very important to us.

Homework: You are strongly encouraged to work together on homework problems. However, the solutions you submit must be written by yourself and in your own words. Any form of copying (electronic or otherwise) of another person's solutions, in whole or in part, is a violation of the Academic Honor Code. What you turn in as homework solutions has to be your own understanding of how to do the problems. You must state what sources you have consulted, with whom you have collaborated, and from whom you have received help – this will not lower your grade.

Midterms and Final Exam: You are not allowed to provide or receive help of any kind (closed book examinations). However, you may ask the instructor for clarification on questions.

If you have any questions as to whether some action would be acceptable under the Academic Honor Code, please ask your instructor in class.


The TA for Math 8 is Sam Schiavone. Tutorial assistance for this course and help with your homework will be available on Sundays, Tuesdays, and Thursdays, 7-9pm, 105 Kemeny Hall.

Tutorials are optional. We recommend going to tutorials, for students who want help, for students who would like to discuss homework and other course material with their classmates, and for students who would like to ask other questions about the subject.

Special Considerations

Students with disabilities enrolled in this course and who may need disability-related academic adjustments and services are encouraged to see their professor privately as early as possible in the term. Students requiring disability-related academic adjustments and services must consult the Student Accessibility Services office (301 Collis Student Center, 646-9900, Student.Accessibility.Services at Once SAS has authorized services, students must show the originally signed SAS Services and Consent Form and/or a letter on SAS letterhead to their professor. As a first step, if students have questions about whether they qualify to receive academic adjustments and services, they should contact the SAS office. All inquiries and discussions will remain confidential.

Some students may wish to take part in religious observances that occur during this academic term. If you have a religious observance that conflicts with your participation in the course, or any other conflict with one of the midterms, please meet with your instructor before the end of the second week of the term - and in no case later than a week before the scheduled exam - to discuss appropriate accommodations.

For students with midterm exam schedule conflicts due to regularly scheduled lab periods or other regularly scheduled course activities, provided they notify the instructor in time, we will schedule an alternate time period to take the exam. Students with other commitments, such as jobs, performances, or athletic competitions, may also be accommodated with sufficient notice, although we cannot guarantee this.

Everyone must take the final exam at the scheduled time. Please remember this when you make travel plans.

If you are unable to attend class one day, it is your responsibility to submit your homework on time, and to make up the material you missed. It is polite to notify your instructor if you expect to miss class.

Marcia Groszek
Last updated March 22, 2016 12:07:56 EDT