Past exams at the University of Michigan
Lecture notes 1: Calculus 3
Lecture notes 2: From div-curl to Stokes
First midterm exam: October 7 in class
Second midterm exam: November 8 in class.
Final exam: December 9, 4:00 - 5:50
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.
Quizzes
Quizzes will be during recitations on Thursday. 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 5: vectors, dot product, cross product, equations of lines. Four problems 20 minutes.
Quiz #2: Thursday, September 12: Planes and quadratic surfaces. Four problems 25 minutes.
Quiz #3: Thursday, September 19. Four problems 25 minutes. The problems cover the following material: (1) Parametric equations of the tangent line to a curve; (2) Domain of definition of a vector function; (3) The length of a curve; (4) The curvature.
Quiz #4: Thursday, September 26. Four problems 20 minutes. The topics will be limited to: The domain of a function f(x,y) (description and sketch). Limits and continuity. Partial derivatives. Checking whether a function satisfies a partial differential equation. Tangent planes to graphs.
Quiz #5: Thursday, October 03. Four problems 20 minutes. Topics will be limited to: linear approximation, chain rule, implicit differentiation, gradient, directional derivative, tangent line to the curve f(x,y)=k and tangent plant to the surface f(x,y,z)=k.
Quiz #6: Thursday, October 17. Four problems 20 minutes. Double integrals. Fubini theorem. Integration over domains.
Quiz #7: Thursday, October 24. Four problems 20 minutes. The topics will cover integration in the polar coordinate system, triple integrals (volume, changing the order of integration...), integration in cylindrical coordinate system.
Quiz #8: Thursday, November 21. Four problems 15 minutes. curl, div, parametric surfaces (area, tangent plane, integration of functions, graph of a function as a parametric surface).
Quiz #9: Tuesday, November 26, because of Thanksgiving. Parametric surfaces (area, tangent plane, integration of functions, graph of a function as a parametric surface), Stokes' theorem.
Important links
The University of Pittsburgh Calculus