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Home » Uncategorized » Overview of the course CALCULUS III (MATH 0240), Summer 2016, University of Pittsburgh

Overview of the course CALCULUS III (MATH 0240), Summer 2016, University of Pittsburgh


This Summer I shall be teaching CALCULUS III (MATH 0240) in the mathematics department at University of Pittsburgh. Mainly, we shall cover vectors, vector functions and space functions, arc length and curvature, functions of several variables, double and triple integrals, line integrals, surface integrals and some other related topics.

About the course

This is the third sequence of three calculus courses for science and engineering students. The goal is to prepare you to make use of calculus as a practical problem-solving tool.


Math 0230 or equivalent, with grade of C or better.

Lectures and Recitations

  • Lectures are from Monday to Thursday, 7-8.45 PM  in 704 Thackeray Hall.
  • Recitations are from Monday to Thursday, 6-6.50 PM  in 704 Thackeray Hall. The recitation instructor for this class is Fawwaz Battayneh. His office hours are Monday and Thursday, 12-1 PM in the MAC.
  • Moreover, you can also check the regular teaching page for this class: https://lupucezar.wordpress.com/teaching/ (Calculus 3-Summer 2016).
  • Quizzes and exams will appear on the teaching section above.

Office Hours

My office hours are from Monday to Thursday, 5-6 PM in the MAC. If you want to schedule an additional meeting with me in my office (Thackeray hall, room 415) do not hesitate to send me an e-mail to lupucezar@gmail.com.

References (Lecture notes, textbook, and practice exams)

  1. P. Hajlasz, Lecture Notes in Calculus III, Part 1, Part 2, Part 3.
  2. J. Stewart, Essential Calculus, Early Transcendentals, 2nd edition.
  3. A. Athanas, Calculus 3-practice exams.
  4. I. Sysoeva, Calculus 3-practice exams.
  5. E. Trofimov, Calculus 3-webpage.
  6. A. Yarosh, Calculus 3-webpage.


Your final grade will be determined as follows:

  • Homework: 20% (2 homeworks of 10% each)
  • Quizzes: 20% (4 quizzes of 5% each)
  • Two exams: 60% (2 exams of 30% each)
  • LON CAPA homework: 5% (extra credit)


I shall assign two homeworks which will appear on the teaching section. The first homework is hereEach one will be due before the exams. Additionally, one can do problems from the LON CAPA system. If you find it really annoying, you can also do this.

Final Grade Policy

A: 90-100%, A-: 85-90%, B+: 80-85%, B: 75-80%, B-: 70-75%, C+: 65-70%, C: 60-65%.

Exam Dates

The first exam will be on Thursday, July 14th, 7-9 PM in Thackeray 704.

The second exam will be on Wednesday, August 3rd, 7-9 PM in Thackeray 704.

Disability Resource Services

If you have any disability for which you are or may be requesting an accomodation, you are encouraged to contact both your instructor and the Office of Disability and Services, 216 William Pitt Union (412) 624-7890 as early as possible in the term.

Gauss normal distribution proof


The integral formula in spherical coordinates system


Fubini’s theorem


Green’s theorem


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