Calculus for Scientists and Engineers (微积分), part II


This is the second part of an elementary calculus course. It covers integration technics, solution technics for ODEs, elementary transcendental functions, infinite series, Taylor- and Maclaurin series, Fourier Series, vectors in the plane and space, polar coordinates, and some more.

Textbook:R.L. Finney, M.D. Weir, F.R. Giordano: Thomas' Calculus, 10th edition, vol 1&2, ISBN 978-7-04-014424-6 (Chinese HEP).
Course home page:
Language: English
Lectures: MW 10:30-12:05, Fr 14:00-15:40 in A106 West Teaching Area (Chang'an campus)
Instructor: M. Grützmann (古梅西), e-mail:, x=grutzmann, QQ-group: 162-423-552* (2012西工大微积分).
Teaching assistants (grader): Ms Wu and Ms Zhang
Seminar: Fr 2nd lecture (same room)
Office hours: Fr after the seminar
Midterm: April 2012 during lecture time, in the class room
Final: TBA, begin of July 2013

* When you add me (QQ: 109-235-1405 or via the discussion group), please send your name and the word calculus2. If you were already member last semester, you are automatically member (it's the same group).
The office hours are not a substitute for attending the lecture. You should first come to the lecture and try to understand material there. If there are questions left, ask me between/ after class (maybe I should also address them in the seminar)

Grading policy

The course grade constitutes from your homework (10%), one mid-term exam (30%) and the final (60%). Class attendance is mandatory if you got less than 70% in the last exam.

Homework is assigned every week and due on Tuesday the next week (hand in before the class). It will be graded by the TA and returned the following week. The maximal score of the homework is scaled to 10%.


Homework 1 (due Mar 4th)

I (10P) p. 474ff Nr. 1, 3, 10, 19, 22; 25, 31, 62, 65, 68;
II (10P) p. 464ff Nr. 1, 8, 10, 22, 66; 50, 57, 23, 73, 75--6;

Homework 2 (due Mar 11th)

I (7P) p.483ff Nr. 2, 14, 15, 26, 36, 37, 54a
II (6P) p.495ff Nr. 3, 5, 23, 31, 34, 38 (also Stokes friction)
III (7P) p.506ff Nr. 1, 6, 23, 27, 28, 30,31

Homework 3 (due Mar 18th)

If you failed the course last semester, there is a makeup exam in the 4th week (Mar 18–22). Conditions are the same as for the final exam last semester. Please start preparing by yourself. You can ask questions after class.

Course outline (tentative)

Numbers in parentheses give the approximate number of lectures.

  1. Differential equations and Transcendental functions (2 weeks)
  2. Technics of Integration (2weeks)
  3. Infinite series (2 weeks)
  4. Vectors in the plane & Polar coordinates (2weeks)
  5. Vectors and motion in space (2weeks)

This page is maintained by Melchior Grützmann.