# Math 200 – Multivariate Calculus, Spring 2017

Instructor: Anatolii Grinshpan
Office hours:  Mon 2-4 and Wed 2-3, Learning Terrace.

Apr  3.  Introduction. Three-dimensional space. Problems.

Apr  4.  Cylindrical surfaces. Vectors. Problems.

Apr  5.  Vector arithmetic. Dot product. Problems.

Apr  7.  Quiz 1: 11.1, 11.2.  Direction cosines.

Apr 10. Parallel and orthogonal components.

Apr 11. Cross product. Problems.

Apr 12. Equations of lines. Problems.

Apr 14. Quiz 2: 11.3, 11.4.

Apr 17. Distance between lines.

Apr 18. Equations of planes.  Examples. Problems.

Apr 19. Parametric curves.  Circular helix. Problems.

Apr 21. Quiz 3: 11.5, 11.6. Worksheet answers.

Apr 24. Midterm 1: 8-8:50 AM, Bossone Auditorium.

Apr 25. Quadric surfaces. Question. Conic sections applet.

Apr 26. Functions of several variables.

Apr 28. Quiz 4: 11.7, 13.1.  Walking a plane.

May  1. Partial derivatives. Example.

May  2. Chain rule. Gradient and level curves. Problems.

May  5. Quiz 5: 13.3, 13.5.

May  8.  Normal lines, tangent planes. Gradient and level surfaces. Problems.

May  9.  Local linear approximation. Example. Problems.

May 10. Quadratic approximation and stationary points.

May 12. Quiz 6: 13.6, 13.7.

May 16. Points of absolute extremumExample. Problems.

May 17. Examples.

May 19. Quiz 7: 13.4, 13.8. Answers.

May 22. Midterm 2: 8-8:50 AM, Bossone Auditorium.

May 23. Integrals over planar regions. Problems.

May 24. Integrals over planar regions. Problems.

May 26. Quiz 8: 14.1, 14.2.

May 29. Memorial day.

May 30. Volume in polar coordinates. Problems.

May 31. Cylindrical and spherical coordinates. Problems.

June  2.  Quiz 9: 14.3, 11.8.

June  5.  Triple and iterated integrals. Example. Problems.

June  6.  Integration using cylindrical and spherical coordinates.

June  7

June  9.  Quiz 10: 14.5-14.7.