
Textbook:

Calculus,
6th edition,
Swokowski, Olinick, and Pence
PWS Publishing Company,
1994.

Instructor:

Dr. Buchanan
Office: Wickersham 113, Phone: 8723659, FAX: 8712320
Office Hours: 9:00AM10:00AM (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. 588591; 111 odd, 2761 odd,
65. 67, 75, 77

Sec. 6.8, pp. 606610; 131 odd, 35a, 47, 6167
odd, 7379 odd

Sec. 6.9, pp. 621623; 135 odd, 39, 4979 odd

Chap. 6 Review, pp. 623626; 69121 odd

Sec. 5.1, pp. 443445; 137 odd

Sec. 5.2, pp. 453455; 139 odd

Sec. 5.3, pp. 461463; 129 odd

Sec. 5.4, pp. 466468; 117 odd, 22, 23, 27

Sec. 5.6, pp. 486487; 119 odd, 23

Sec. 5.7, pp. 496497; 123 odd

Sec. 5.8, pp. 508511; 19 odd, 13, 15, 17, 23, 27

Chap. 5 Review, pp. 511513; 123 odd

Sec. 7.1, pp. 636637; 151 odd

Sec. 7.2, pp. 643644; 135 odd

Sec. 7.3, pp. 650; 129 odd

Sec. 7.4, pp. 659660; 127 odd, 33, 35, 37

Sec. 7.5, pp. 667668; 127 odd, 47, 49, 51

Sec. 7.7, pp. 686689; 143 odd, 4775 odd, 83

Chap. 7 Review, pp. 689691, 1111 odd

Sec. 8.1, pp. 706707; 143 odd, 49, 50

Sec. 8.2, pp. 720723; 147 odd, 5765 odd

Sec. 8.3, pp. 733734; 149 odd, 50, 53

Sec. 8.4, pp. 738; 139 odd

Sec. 8.5, pp. 747; 145 odd

Sec. 8.6, pp. 754755; 145 odd

Sec. 8.7, pp. 763764; 141 odd

Sec. 8.8, pp. 774776; 159 odd

Sec. 8.9, Optional pp. 781783; 129 odd,
41, 43, 45

Chap. 8 Review, pp. 782783; 1, 3, 5, 939 odd, 4553 odd

Sec. 9.1, pp. 798801; 153 odd

Sec. 5.5, pp. 477479; 113 odd, 2941 odd, 49a

Sec. 9.2, pp. 810811; 125 odd, 2937 odd, 41

Sec. 9.3, pp. 821822; 163 odd, 66

Sec. 9.4, pp. 830832; 131 odd, 35, 41

Chap. 9 Review, pp. 840841; 147 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, 8:00AM10:00AM).
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.

Grades:

Course grade will be calculated as follows.
Tests  40% 
Midterm  30% 
Exam  30% 
The course letter grades will be calculated as follows.
90100  A 
8089  B 
7079  C 
6069  D 
059  F 

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.