General information

Instructors and Scheduled Lectures

Instructor Vardayani Ratti (Section 01) Bjoern Muetzel (Section 02)
Lecture MWF 10:10-11:15 MWF 11:30-12:35
x-Hour Thursday, 12:15-1:05 Tuesday, 12:15-1:05
Classroom 006 Kemeny 006 Kemeny
Email vardayani.ratti AT bjorn.mutzel AT
Office Hours Monday, 1-2:25
Tuesday, 1-2:25
Monday, 2-3:30
Tuesday, 2-3:30
Office 314 Kemeny 318 Kemeny


Math 3 or advanced placement into Math 8.


This course is a sequel to Math 3 and provides an introduction to Taylor series and functions of several variables. The first third of the course is devoted to approximation of functions by Taylor polynomials and representing functions by Taylor series. 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.



"Calculus", by James Stewart, 8th Edition, ISBN: 978-1-285-74062-1

General expectations

  • Attendance in class is expected. Class participation will be considered in assigning letter grades in borderline cases. It is polite to contact your instructor in advance when you need to miss class.
  • 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 can be found 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.
  • Exams

    There will be two midterm exams and a cumulative final exam. The exams are scheduled as follows:

    Midterm I Friday, April 20, 4:30-6:30 028 Silsby
    Midterm II Friday, May 11, 4:30-6:30 028 Silsby
    Final Exam Friday, June 1, 11:30-2:30 008 Kemeny

    If you have a conflict with one of the midterm exams because of a religious observance, scheduled extracurricular activity such as a game or performance [not practice], scheduled laboratory for another course, or similar commitment, please see your instructor as soon as possible.

    Homework Policy 

    1.) WeBWorK: Webwork online assignments can be found on the WeBWorK page of this class. Assignments are due every Monday, Wednesday and Friday by 10 am unless otherwise announced. The WeBWorK system will not accept late submissions unless you have made arrangements with your instructor. Your instructor can adjust your individual deadline on a particular assignment in an event of illness or family emergency. Exams etc. in other courses are not considered a valid reason to request an extension. Please plan ahead.

    2.) Written homework: Written homework assignments will be assigned weekly and will be posted on the homework page. Homework will be assigned each Wednesday and is due the next Wednesday in class. Late homework will not be accepted except in cases of extended illness. The lowest homework grade will be dropped. For the homework the Honor Principle below applies.


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

    Written homework 10%
    WeBWorK 10%
    Option 1 Option 2
    Midterm I 20% 26.66%
    Midterm II 20% 26.66%
    Final Exam 40% 26.66%
  • Of the two options for the exams the one with the better score will be taken.
  • Tutorial

    Our graduate teaching assistant, Pepper Huang will run tutorials Tuesday, Thursday and Sunday from 7:00-9:00pm in 006 Kemeny, focusing on answering your questions on the homework and class material. For maximal benefit, we strongly recommend that you try all the homework problems ahead of time and come with your questions to the tutorial. Tutorials are open to all Math 8 students. You don't need an appointment.

    Other Outside Help

    • Office Hours: Please feel free to meet with us during office hours (or by appointment) with questions regarding homework problems or any other aspect of the course.
    • Peer Tutoring: The Tutor Clearinghouse of the Academic Skills Center provides one-on-one peer tutoring. The Math 8 study group meets TBA.

    The Honor Principle

    Academic integrity is at the core of our mission as mathematicians and educators, and we take it very seriously.
    Cooperation on homework is permitted and encouraged, but you must write up your homework in your own words, reflecting your own understanding. Please acknowledge any collaborators at the beginning of each assignment.
    On exams, you may not give or receive help from anyone. Exams in this course are closed book, and no notes, calculators or other electronic devices are permitted.
    Further information can be found here: Honor Principle.

    Religious Observances

    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, please meet with your instructor before the end of the second week of the term to discuss appropriate accommodations.
    A calendar of religious holidays can be found here: Religious holidays.


    Students with disabilities who may need disability-related academic adjustments and services for this course are encouraged to see their instructor privately as early in the term as possible. Students requiring disability-related academic adjustments and services must consult the Student Accessibility Services office (Carson Hall, Suite 125, 646-9900). 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.
    For further information, see Student Accessibility Services.