## MATH 162 - Calculus II

Fall 1999
MATH 162.00 (4 credits), MTu_ThF, 8:00AM-8:50AM, Wickersham 115
Textbook:
Calculus, 6th edition, Swokowski, Olinick, and Pence PWS Publishing Company, 1994.
Instructor:
Dr. Buchanan
Office: Wickersham 113, Phone: 872-3659, FAX: 871-2320
Office Hours: 9:00AM-10:00AM (MTu_ThF), or by appointment
Email: Robert.Buchanan@millersville.edu
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. Not only is the homework your opportunity to determine if you understand and reinforce the material, all of the test and exam problems will be taken from the homework exercises in your textbook. The student solutions manual to the homework problems for this course will be placed on reserve in the Ganser Library. You may check out the solutions for a maximum of three hours at a time by asking for the ``Buchanan MATH 162 Solutions Manual'' at the reserve desk.

Students should expect to spend a minimum of twelve hours per week reviewing notes taken during class and working assigned homework exercises. Preparation for the tests and final exam will require additional hours of study. Students will find it beneficial to review all lecture notes and other relevant material collected from the beginning of the semester until the present time at least once per week.

Assignments by Section
• Sec. 6.7, pp. 588-591; 1-11 odd, 27-61 odd, 65. 67, 75, 77
• Sec. 6.8, pp. 606-610; 1-31 odd, 35a, 47, 61-67 odd, 73-79 odd
• Sec. 6.9, pp. 621-623; 1-35 odd, 39, 49-79 odd
• Chap. 6 Review, pp. 623-626; 69-121 odd
• Sec. 5.1, pp. 443-445; 1-37 odd
• Sec. 5.2, pp. 453-455; 1-39 odd
• Sec. 5.3, pp. 461-463; 1-29 odd
• Sec. 5.4, pp. 466-468; 1-17 odd, 22, 23, 27
• Sec. 5.6, pp. 486-487; 1-19 odd, 23
• Sec. 5.7, pp. 496-497; 1-23 odd
• Sec. 5.8, pp. 508-511; 1-9 odd, 13, 15, 17, 23, 27
• Chap. 5 Review, pp. 511-513; 1-23 odd
• Sec. 7.1, pp. 636-637; 1-51 odd
• Sec. 7.2, pp. 643-644; 1-35 odd
• Sec. 7.3, pp. 650; 1-29 odd
• Sec. 7.4, pp. 659-660; 1-27 odd, 33, 35, 37
• Sec. 7.5, pp. 667-668; 1-27 odd, 47, 49, 51
• Sec. 7.7, pp. 686-689; 1-43 odd, 47-75 odd, 83
• Chap. 7 Review, pp. 689-691, 1-111 odd
• Sec. 8.1, pp. 706-707; 1-43 odd, 49, 50
• Sec. 8.2, pp. 720-723; 1-47 odd, 57-65 odd
• Sec. 8.3, pp. 733-734; 1-49 odd, 50, 53
• Sec. 8.4, pp. 738; 1-39 odd
• Sec. 8.5, pp. 747; 1-45 odd
• Sec. 8.6, pp. 754-755; 1-45 odd
• Sec. 8.7, pp. 763-764; 1-41 odd
• Sec. 8.8, pp. 774-776; 1-59 odd
• Sec. 8.9, Optional pp. 781-783; 1-29 odd, 41, 43, 45
• Chap. 8 Review, pp. 782-783; 1, 3, 5, 9-39 odd, 45-53 odd
• Sec. 9.1, pp. 798-801; 1-53 odd
• Sec. 5.5, pp. 477-479; 1-13 odd, 29-41 odd, 49a
• Sec. 9.2, pp. 810-811; 1-25 odd, 29-37 odd, 41
• Sec. 9.3, pp. 821-822; 1-63 odd, 66
• Sec. 9.4, pp. 830-832; 1-31 odd, 35, 41
• Chap. 9 Review, pp. 840-841; 1-47 odd
Tests:
Two tests (tentatively scheduled for 09/24/99 and 11/19/99), a comprehensive midterm exam (tentatively scheduled for 10/15/99), and a comprehensive final exam (Tuesday, December 14, 1999, 8:00AM-10:00AM).

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.