Calculus II

# Tues.9:30 am to 10:20 am

Boyd           301

## Instructor:    Anthony J. Giovannitti

Office:         Boyd 325

Phone:         770-838-2579

FAX:           770-836-6890

Email:          agiovann@westga.edu

Homepage:  http://www.westga.edu/~agiovann/

##### Or by appointment

Author & Text:      James Stewart, Calculus – Early Transcendentals, 4th ed.

Learning Objectives: The student will be able to:

1.     Compute areas between curves.  (L1, L6, L8, L9)

2.     Compute volumes by disks, washers, shells, and cross-sections.  (L1, L6, L8, L9)

3.     Compute arc-length of a curve and surface area.  (L1, L6, L8, L9)

4.     Solve applied problems involving force and work.  (L1, L8, L9)

5.     Evaluate anti-derivatives and definite integrals using u-substitution, integration by parts, trigonometric substitution, partial fractions, and completing the square.  (L1, L2, L6, L7)

6.     Use simple approximation techniques for definite integrals, check the error bounds for each technique, and compare the strengths and weaknesses of each.  (L1, L2, L6, L7, L8)

7.     Evaluate improper integrals.  (L1, L2, L7, L8)

8.     Compute areas of planar regions and arc-lengths of curves using polar coordinates.  (L1, L6, L8, L9)

9.     Determine whether a sequence converges or diverges.  (L1, L2, L7)

10.    Determine whether a series converges conditionally, converges absolutely, or diverges using the appropriate methods, such as geometric series test, p-series test, the comparison test, the limit comparison test, the integral test, the ratio test, the root test, and the alternating series test.  (L1, L2, L7)

11.    Determine the radius of convergence and the interval of convergence of a power series.  (L1, L7)

12.    Compute the Taylor and Maclaurin series of a function.  (L1, L7)

Assessment:

###### Daily 2-15 problems will be assigned per section and one shall be chosen by the instructor to be graded for 0-2 points.The student will chose an even problem not assigned from each homework section to be graded for 0-2 points for correctness and an extra 0-2 points for difficulty. The homework is due on the following class period unless otherwise instructed.

4                                            Tests during class periods.  (These will be given during Tuesday’s class period and will be for 75 minutes.)

1                                            Comprehensive Final.  (This will be given May 2, 2003 from 8am to 10 am in Boyd 301.)

Your course grade is based on these 3 parts as follows:

## Homework                                         100 points

Tests 1-4                                            400 points

Final*                                                 100 points

*The grade from your final can be used to replace one of your in class test grades.

Dates:

##### February 25Test 2

February 27                    Last Day to withdraw with a W

March 14                        Math Day (No Math Classes, Great Talks)

March 25                        Test 3

April 22                          Test 4

April 28                          Last Day of Class

May 2                             Final Exam: 8 am to 10 am  Boyd 301