MATH 2644 โ Calculus II
Section 01, Summer 2006
MTWF 12:00 pm โ 1:45 pm, 301 Boyd Bldg
Prerequisites: Math 1634.
Instructor: Dr. Rui Xu
Office: 311 Boyd Bldg
Phone: (678)839-4122
E-mail: xu@westga.edu
Website: http://www.westga.edu/หxu/
Office hours: MWF 9:00 โ 10:00 am, 2:00 โ4:00 pm T 2:00 โ3:00 pm or by appointment
Textbook: Single Variable Calculus, Early Transcendentals Vol. 2, by James Stewart, Fifth
Edition, Brooks/Cole Publishing Company, 2005.
Course Description: A continuation of Math 1634. The definite integral and applications,
calculus of transcendental functions, standard techniques of integration, sequences and series.
Learning Outcomes: The student will be able to:
1. Compute areas under curves and between curves.
2. Compute volumes by disks, washers, shells, and cross-sections.
3. Solve applied problems involving work.
4. Evaluate antiderivatives using the techniques of integration by parts,
trigonometric integrals, trigonometric substitution, partial fractions.
5. Evaluate improper integrals.
6. Compute arc length of a curve and surface area of a surface of revolution.
7. Solve applied problems in physics and engineering.
8. Understand polar coordinates.
9. Compute area and arc length of curves in polar coordinates.
10. Understand conic sections and conic sections in polar coordinates
11. Determine whether a sequence converges or diverges.
12. Determine whether a series converges conditionally, converges absolutely, or diverges
using geometric series, p-series, the comparison test, the limit comparison test, the integral
test, the ratio test, the root test, and the alternating series test.
13. Determine the radius of convergence and the interval of convergence of a power series.
14. Compute the Taylor series and Maclaurin series of a function.
Grading Methods: Grades will be assessed based on a total of 650 points (as shown below),
using the standard decade scale: (90โ100%=A, 80โ89%=B, 70โ79%=C , 60โ69%=D, below
60%=F).
Test 1 (Chapter 6) 90pts
Test 2 (Chapter 7) 100pts
Test 3 (Chapter 8 and Chapter 10) 100pts
Test 4 (Chapter 11) 110pts
Final (Comprehensive) 150pts
Quizzes and/or Worksheet 50pts
Total 600pts
