Textbook: J. Stewart, Essential Calculus. Early Transcendentals. 2nd edition. The 1st edition is also OK.
Lecture notes 1: Calculus 3, Part 1
Lecture notes 2: Calculus 3, Part 2
Lecture notes 3: Calculus 3, Part 3
You are not allowed to use calculators on quizzes and exams, although problems in LON CAPA often require calculator. On the exams and quizzes you do not have to simplify the final answer or find the decimal approximation. I want to see that you know how to solve the problems and simplification of the answer is irrelevant here.
All graded homework will be done online, using the LON CAPA system. Please, do not neglect it! Although it counts for 10% only, in many cases these 10% decides whether you will get A or B. It also shows your attitude which is importnant in the borderline cases.
Quizzes
Quizzes will be during recitations on Thursdays. No makup quizzes, but the lowest two scores from the quizzes will be dropped (that allows you to miss two quizzes without penalty).
Quiz #1: Thursday, September 8: vectors, dot product, cross product, vector and scalar projections, equations of lines. Four problems 20 minutes.
Quiz #2: Thursday, September 15: equations of planes, equations of a line of intersection of planes etc., area of a triangle, volume of a parallelepiped, classification of quadratic surfaces. Four problems 20 minutes.
Quiz #3: Thursday, September 22: parametrization of curves, tangent lines, length, curvature, tangent, normal and binormal vectors. Four problems 20 minutes.
Quiz #4: Thursday, September 29: partial derivatives, implicit differentiation, partial differential equations, tangent planes to graphs, tangent planes to implicitly defined surfaces, linear approximation. Four problems 25 minutes.
Quiz #5: Thursday, October 6: chain rule, directional derivative, gradient.
No Quiz Today: Thursday, October 13.
Quiz #6: Thursday, October 20: Double integrals on rectangles and on domains of type I and type II. 4 problems 20 min.
Quiz #7: Thursday, October 27: 2D integration, polar coordinates.
Quiz #8: Thursday, November 3: 3D integration, cyindrical and spherical coordinates, changing the order of integration.
No quiz today: Thursday, November 10.
Quiz #9: Thursday, November 17: TBA
Thanksgiving: Thursday, November 24.
Quiz #10: Thursday, December 1: TBA
Quiz #11: Thursday, December 8: TBA
First midterm exam: October 10
Second midterm exam: November 11
Final exam: December 14
Important links
The University of Pittsburgh Calculus