Math 200 – Multivariate Calculus, Spring 2014

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Instructor: Anatolii Grinshpan

Office hours:  Tu 11-1 & Fr 11-12, Korman 249, or by appointment, Korman 253.

Syllabus    Root page    Homework    Webwork    Calendar    Tutoring center    Greg Naber 

Mar 31.  Introduction to the course. Three-dimensional space. Example. Problems.

April 1.  Cylindrical surfaces. Vectors: components, length, direction. Problems.

April 2.  Direction cosines. Examples.

April 4.  Quiz 1 (11.1, 11.2). Dot product.

 

April 7.  Properties of the dot product. Vector projection. Problems.

April 8.  Angle between vectors. Lines in 2D. Planes in 3D.

April 9.  Cross product. Problems.

Apr 11.  Quiz 2 (11.3, 11.4).

 

Apr 14.  Lines in 3D: parametric equations. Problems.

Apr 15. Point-to-line distance. Equation of a plane. Problems.

Apr 16. Examples on lines and planes.

Apr 18. Quiz 3 (11.5, 11.6). Distance between lines.

 

Apr 21. Parametric curves. Circular helix. Problems.

Apr 22. Quadric surfaces. Cross-sections. Problems.

Apr 23. Quadric surfaces.

Apr 25. Quiz 4 (12.1, 12.2).  Functions of several variables.

 

Apr 28. Quiz 5 (11.7). Functions of several variables. Problems.

Apr 29. Walking a plane. Contour map. Partial derivatives. Problems.

Apr 30. Quiz 6 (13.1, 13.3).

May  2. Exam 1: 8-8:50 AM, Disque 108.

 

May 5. Chain rule. Tree of partial derivatives. Problems.

May 6. Chain rule. Gradient.

May 7. Gradient and directional derivatives. Problems.

May 9. Quiz 7 (13.5, 13.6).

 

May 12. Directional derivatives and level surfaces.

May 13. Normal line and tangent plane. Problems.

May 14. Local linear approximation. Problems.

May 16. Quiz 8 (13.7, 13.4).

 

May 19. Classification of stationary points. Example.

May 20. Points of absolute extremum. Example. Problems.

May 21. Examples on absolute extremum. Double and iterated integrals. Problems.

May 23. Quiz 9 (13.8). Problems. Optional quiz (due Tuesday, May 27).

 

May 26. Memorial Day.

May 27. Iterated integrals. Polar coordinates. Problems.

May 28. Quiz 11 (14.3).

May 30. Exam 2: 8-8:50 AM, Disque 108. Cylindrical and spherical coordinates. Problems.

 

June 2.  Double and triple integrals. Interchange of integrals.

June 3.  Integration using cylindrical and spherical coordinates. Problems.

June 4.  Jacobians. Problems.

June 6. Quiz 12 (14.5, 14.6). Notes on integration by O. Knill.

 

June 9.   Examples. 2013 Final.

June 11. Office hours: 12-2 (MRC)

June 12. Final Exam: 3:30-5:30, Disque 108.