Final Examination

Monday, 3/14, 7-10pm, Braun Auditorium.

The final will be close book, close notes, and close to assignments. However, each one can bring one standard size, two-sided, paper with information useful to the final. Each one should also bring a copy of the integral table attached.

The final will cover all topics lectured this quarter. Please pay particular attentions to topics not covered in two midterms: the flux through a surface, divergence theorem, Stokes' theorem applications.


Assignment IX (due 3/10)

Syllabus and comments

Assignment: VIII, VII. VI, V, IV, III, II, I,

Contact Information

  • Contact information of the instructor:
    • Jun Li, 380-383Z; phone 723-4508(O); E-mail:
  • Contact information of the section leaders:
    • Jafar Jafarov, 380-381U1,;
    • Nick Edelen, 380-380J,;
    • Scott Zhang, 380-381H,

Office hours

  • MWF: 10:30-11:00, 12:30-1:00 by Jun;
  • Mon: 2:00-4:00 by Jafar; 5:00-7:00 by Scott
  • Tu: 5:00-7:00 by Nick;
  • Wed: 1:30-2:30 by Nick; 2:30-3:30 by Jafar; 4:00-5:00 by Scott.


  • Section 03: 9:30AM, 380-380C, Jafarov, Jafar;
  • Section 04: 10:30AM, 380-380C, Zhang, Scott;
  • Section 05: 11:30AM, 160-325, Edelen, Nick;
  • Section 06: 2:30AM, 380-38DC, Edelen, Nick;
  • Section 07: 9:30AM, 380-381U, Zhang, Scott;
  • Section 08: 11:30AM, McC 122, Jafarov, Jafar;

Course description

This course covers the theory of double and triple integrals, line and surface integrals, and vector analysis. It will cover Green, Gauss and Stokes ttheorem, and their applications to physics and engineers. Application to the theory of magnetic fields will be discussed. We will cover material from chapter 13, 14, and some review from chapter 11 of the textbook.


Math 51 and 42 or equivalent. Specific topics include: Riemann integral, techniques of integration and differentiation, polar coordinates, curves, tangent (velocity) vectors to curves, partial derivatives, linear maps and their matrices


Calculus Early Transcendentals, by C. Henry Edcards and David E. Penney (Text book is available in the bookstore.)

Course Logistic

  • Lectures: There are two parallel lectures, one on MWF 9:30-10:20AM room 200-034; the other on MWF 11:30-12:20PM room McCullough 115.
  • Discussion Sections: There are six discussion sections, at 9:30, 10:30, 11:30 and 12:30 on TTh.
  • Each student must enroll in a MWF lecture on Axess.
  • Each student must also enroll in a TTh section, on Axess, Enrolling in sections will be open on the first day of lectures.

Exam and Course grade

Midterm I:1/28 Thur, 7-8:40PM, rm 380C and 370-370; Midterm II: 2/25 Thur, 7-8:40PM, rm 320-105; Final: 3/14 Mon, 7-10PM.
Course grade: homework 15%, midterm one 22.5%, midterm two 22.5%, final 40%


Homework will usually be assigned once a week, and will be due the following Thursday. While you may discuss the homework problems with your peers, what you hand in must be your own work and not a joint project of several people. Please deliver weekly assignments to your Thursday section. (Do not leave the assignments in mailbox.) For more on assignments, see __.

Further help and Advice

  • Confused about the material? Your first resource should be the office hours offered by the teaching assistants and me. Office hours are also a good time to give me feedback on the class.
  • Please write neat and complete solutions to the problem sets. "Neat" means well structured, not only esthetically, but also logically. "Complete" means that the grader will need to see a sufficient amount of explanations and details to give you full credit, even if the question only asks for a numerical answer.