## Calculus II

Spring 1997
MATH 162.01 (4 credits), MTu_ThF, 8:00AM-8:50AM, Wickersham 124
MATH 162.02 (4 credits), MTu_ThF, 10:00AM-10:50AM, Wickersham 115
Instructor:
Dr. Buchanan
Office: Wickersham 113, Phone: 872-3659, FAX: 871-2320
Office Hours: 9AM-10AM (MTu_ThF), 10AM-11AM (W), or by appointment
Email: Robert.Buchanan@millersville.edu
Textbook:
Calculus, 6th edition, Swokowski, Olinick, and Pence PWS Publishing Company, 1994.
Coverage:
• Transcendental functions and l'Hopital's rule (Chap. 6)
• Applications of the definite integral (Chap. 5)
• Techniques of integration (Chap. 7)
• Parametric equations and polar coordinates (Chap. 9)
• Sequences and series (Chap. 8)
Objectives:
The student will:
• Apply the definite integral to finding plane areas, volumes and surface areas of solids, and lengths of curves, and to selected problems in physics.
• Learn to differentiate and integrate inverse trigonometric functions.
• Learn standard techniques of integration: Integration by parts, integration of powers of trigonometric functions, trigonometric substitution, partial fractions, and selected special substitutions.
• Evaluate improper integrals of both kinds, and use l'Hopital's rule.
• Learn about sequences and infinite series, and apply the standard tests for convergence of series (to numerical series, and to power series).
• Construct Taylor and Maclaurin series for functions, and apply them in calculations.
• Graph curves in polar coordinates, recognize standard forms in polar coordinates, and find areas in polar coordinates by integration.
• Describe curves in parametric form, and apply the techniques of calculus to parametric curves.
Prerequisites:
A grade of C or better in MATH 161 (Calculus I) is a prerequisite for this course.
Attendance:
Students are expected to attend all class meetings. If you must be absent from class you are expected to complete class requirements (tests and/or homework assignments) prior to the absence. Students who miss a test should provide a valid excuse, otherwise you will not be allowed to make up the test. Tests should be made up within one week of their scheduled date. No final exam exemptions.
Homework:
Students are expected to do their homework and participate in class. Periodically throughout the semester, some homework problems will be assigned to be handed in for grading. Students should submit all homework by the date due. Late homework will not be accepted without valid excuse. Discussion between students on homework assignments is encouraged, but homework submitted for grading should be written up separately.
Tests:
Four 50--minute tests (tentatively scheduled for 02/24/97, 03/17/97, 04/10/97, and 05/05/97) and a comprehensive final exam (for MATH 162.01 the exam is on Thursday, May 15, 2:45PM--4:45PM, and for MATH 162.02 the exam is on Wednesday, May 14, 2:45PM--4:45PM).

If you feel that an error was made in the grading of a test, you should explain the error on a separate sheet of paper and return both it and the test to me within three class periods after the test is returned to you.