Calculus II
Spring 2005
MATH 211.03 (4 credits), MTu_ThF, 10:00AM-10:50AM, Wickersham 105

Prerequisites:

A grade of C- or better in MATH 161 (Calculus I) is the prerequisite for this course.

Instructor:

Dr. Buchanan
Office: Wickersham 218, Phone: 872-3659, FAX: 871-2320
Office Hours: 8:00AM-8:50AM (MTuWThF), or by appointment
Email: Robert.Buchanan@millersville.edu
Course URL: http://banach.millersville.edu/~bob/math211

Textbook:

Calculus, 2nd edition, Robert T. Smith and Roland B. Minton, McGraw-Hill Company, New York (2002), ISBN 0-07-239848-5.

Objectives:

MATH 211 is a continuation and extension of the topics and concepts introduced in MATH 161 Calculus I. Major emphasis is on the transcendental functions, techniques of integration, sequences and series, and parametric equations. 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'Hôpital'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.

Course Contents:
• Applications of the definite integral (Chap. 5)
• Exponentials, logarithms and other Transcendental functions (Chap. 6, sections 7-9)
• Integration Techniques (Chap. 7)
• Infinite series (Chap. 8)
• Parametric equations and polar coordinates (Chap. 9)

If time permits other topics may be covered as well.

Attendance:

Students are expected to attend all class meetings. If you must be absent from class you are expected to complete class requirements (e.g. homework assignments) prior to the absence. If you know you will be absent on the day of a test, you must notify me before the time the test is scheduled in order to schedule a make-up test. Students who miss a test should provide a valid excuse, otherwise you will not be allowed to make up the test. No final exam exemptions.

Homework:

Students are expected to do their homework and participate in class. Students should expect to spend a minimum of three hours outside of class on homework and review for every hour spent in class. On a regular schedule homework problems will be assigned for collection and grading. Students should submit all homework by the date due. Late homework will not be accepted without a valid excuse. Discussion between students on homework assignments is encouraged, but homework submitted for grading should be written up separately.

Tests:

There will be four 50-minute in-class tests and a comprehensive final examination. The tests are tentatively scheduled for

• Tuesday, February 1, 2005
• Friday, February 25, 2005
• Tuesday, March 29, 2005
• Tuesday, April 26, 2005
If you miss either of test 1 or test 2 the scheduled make-up test day and time will be Friday, March 4, 2005 at 4:00PM. If you miss either of test 3 or test 4 the scheduled make-up test day and time will be Friday, April 29, 2005 at 4:00PM.

The final examination is scheduled for Friday, May 6, 2005, from 8:00AM-10:00AM. I will not curve'' test or exam grades.

Course grade will be calculated as follows.

 Tests 50% Homework 20% Exam 30%

Tests and the final examination will be graded individually on a 100-point scale. Graded homework assignments may consist of a variable number of problems worth ten points each. I keep a record of students' test, homework, and exam scores. Students should also keep a record of graded assignments, tests, and other materials. As an example of the calculation of the numerical course grade, suppose a student's four test grades were 87, 78, 65, and 70 (out of a maximum of 100 points on each test), the student's final examination grade was 71 (again, out of a maximum of 100). Suppose seven homework assignment were collected and the student's grades were , , , , , , and . This hypothetical student's numerical course grade would be calculated according to the formula

The course letter grades will be calculated as follows. I will not curve'' course grades.

 90-92 A 93-100 A 80-82 B 83-86 B 87-89 B 70-72 C 73-76 C 77-79 C 60-62 D 63-66 D 67-69 D 0-59 F

Course Repeat Policy

An undergraduate student may not take an undergraduate course of record more than three times. A course of record is defined as a course in which a student receives a grade of A, B, C, D, (including and ) F, U, Z or W. The academic department offering a course may drop a student from a course if the student attempts to take a course more than three times.1

Inclement Weather Policy:

If we should miss a class day due to a school closing because of weather, any activities planned for that missed day will take place the next time the class meets. For example, if a test is scheduled for a day that class is canceled on account of snow, the test will be given the next time the class meets.

Final Word:

Math is not a spectator sport. What you learn from this course and your final grade depend mainly on the amount of work you put forth. Daily contact with the material through homework assignments and review of notes taken during lectures is extremely important.

Page maintained by: Robert.Buchanan
Robert.Buchanan@millersville.edu

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