MATH 223 CALCULUS I II1
Spring 2009
Instructor Janusz Konieczny [You may call me Dr. K]
Office: Trinkle 125, Phone: 654-1331, E-mail: jkoniecz@umw.edu
Office Hours: MWF 10–10:45 and 12–12:30, TR 12:30–1:30, or by appoint-
ment
Sections Section 01: MWF 9–9:50, Trinkle 140
Course Goals
and Objectives
Calculus can be described as the mathematics of change and motion. The
methods of calculus are useful in mathematics, the sciences, and engineer-
ing. In Calculus III, we will study curves given by parametric and polar
equations, infinite sequences and series, and representation of functions as
power series. The ob jectives of the course are for students to:
(1) Learn how to define and study curves using parametric and polar equa-
tions.
(2) Become familiar with definitions and equations of conic sections.
(3) Understand the concepts of convergence of infinite sequences and series.
(4) Master basic methods of testing infinite series for convergence.
(5) Learn how to represent functions as power series and how to differen-
tiate and integrate functions using power series representation.
Top i cs C ov ere d Curves defined by parametric equations; Polar coordinates; Conic sections;
Infinite sequences and series; Testing series for convergence; Power series;
Taylor and Maclaurin series.
Tex tbo o k A Single Variable Calculus, Fifth Edition, by James Stewart
Calculators A graphing calculator is required (I will be using TI-83 Plus in class).
Tes ts There will be three take-home tests, each worth 50 points.
Test 1 Handed out Monday, February 9; due February 11
Test 2 Handed out Monday, March 16; due March 18
Test 3 Handed out Monday, April 13; due April 15
Final Exam There will be a cumulative final examination, worth 50 points.
Wednesday, April 29, 8:30–11 a.m., Trinkle 140
1There is a Web page for this class at
http://people.umw.edu/∼jkoniecz/jkoniecz/223s09.htm.
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