The George Washington University
Department of Mathematics

Math 32-12: Single-Variable Calculus II

Professor Valentina Harizanov

Spring 2009

Tu, Th 2:20–3:35

1957 E Street, Room B12

Recitations

32-36: F 8–8:50, Monroe Hall (2115 G Street), Room B31

32-37: F 12:45–1:35, Monroe Hall (2115 G Street), Room B31

32-38: F 2:20–3:10, Monroe Hall (2115 G Street), Room B31

 

Mathematics Department

Monroe Hall, Room 240

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

 

Instructor

Valentina Harizanov

Office: Goverment Hall, Room 220

Tel: (202) 994–6595

E-mail: harizanv@gwu.edu

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

Office Hours: Tu 11:00a.m.–12:00noon

Th 1:00–2:00p.m.

At other times by appointment.

 

Recitation Leader

Ken Shoda

Office: Monroe Hall, Room 269

Tel: (202) 994–0304

E-mail: kenshoda@gwu.edu

Office Hours: M 10:30a.m.–12:00noon

W 10:30a.m.–12:00noon

At other times by appointment.

 

Textbook

Calculus  (sixth edition) by James Stewart, Brooks/Cole Publishing Company, 2008.

 

Syllabus

Chapter 7. Inverse Functions; Their Derivatives and Integrals

Sections 1–8. Exponential and Logarithmic Functions. Inverse Trigonometric Functions. Hyperbolic Functions. L’Hospital’s Rule.

Chapter 8. Techniques of Integration

           Sections 1–5, 8. Integration by Parts. Trigonometric Substitution.  Integration of Rational Functions. Improper Integrals.

Chapter 9. Applications of Integration

Sections 1, 3–5. Arc Length. Applications to Physics, Engineering, Economics, Biology.

Chapter 11. Parametric Equations and Polar Coordinates

Sections 1–5. Curves Defined by Parametric Equations. Tangents and Areas. Areas and Lengths in Polar Coordinates.

Chapter 12. Infinite Sequences and Series.

Sections 1–12. The Integral Test. The Comparison Tests. Alternating Series. The Ratio Test and the Root Test. Power Series. Taylor and MacLaurin Series.

 

Grading

Final Exam (cumulative), Thursday, May 7, 2009, 3:00–5:00pm: 40%

Midterm Exam, Tuesday, March 3, 2009: 20%                                                              

Quiz #1, Thursday, January 29, 2009: 8%

Quiz #2, Tuesday, February 10, 2009: 8%

Quiz #3, Tuesday, March 31, 2009: 8%

Quiz #4, Tuesday, April 21, 2009: 8%

The quizzes will be given in class and returned graded in recitations. The lowest quiz score will be dropped. No make-up quizzes will be given.

Homework: 16%

Almost weekly homework assignments will be given through Webassign (log in at http://webassign.net/login.html ), which need to be completed electronically on schedule.

          

Best wishes for a successful semester!