The George Washington University

Department of Mathematics

Math 33-12: Multivariable Calculus

Fall 2007

Tu,Th 9:35–10:50 a.m.

Monroe Hall 250

Mathematics Department

Monroe Hall (2115 G Street), Room 240

Tel: (202) 994–6235, Fax: (202) 994–6760

Professor

Valentina Harizanov

http://home.gwu.edu/~harizanv/

Office: Government Hall, Room 220

Tel: (202) 994–6595

E-mail: harizanv@gwu.edu

Office Hours

Tu 11:00a.m.–12:00 noon

Th 8:30–9:30 a.m.

At other times by appointment.

Textbook

Calculus (fifth edition) by James Stewart, Brooks/Cole Publishing Company.

Syllabus

Chapter 13. Vectors and Geometry of Space

All sections. Vectors; the dot product, and the cross product. Equations of lines and planes. Cylinders and quadric surfaces. Cylindrical and spherical coordinates.

Chapter 14. Vector Functions

Sections 1–3. Space curves. Derivatives and integrals of vector functions. Arc length.

Chapter 15. Partial Derivatives

Sections 1–7. Functions of several variables; limits, and continuity. Partial derivatives, and directional derivatives. Tangent planes. Chain rule. Maximum and minimum values.

Chapter 16. Multiple Integrals

Sections 1––8. Double and triple integrals, and their applications. Double integrals in polar coordinates. Triple integrals in cylindrical and spherical coordinates.

Chapter 17. Vector Calculus

All sections. Line integrals, and Green’s theorem. Curl and divergence. Parametric surfaces and their areas. Surface integrals, and Stokes’ theorem.

Grading

Homework : 5%

Quiz #1, Tuesday, September 11, 2007: 5%

Quiz #2, Thursday, September 27, 2007: 10%

Midterm Exam, Thursday, October 18, 2007: 20%

Quiz #3, Thursday, November 1, 2007: 10%

Quiz #4, Thursday, November 15, 2007: 10%

Final Exam (cumulative), 2-hour exam scheduled by the University: 40%

Best wishes for a successful semester!