Math
2210 Syllabus (Spring 2004)
Topic: Integral Calculus
Room: Grad Studies 222
Call
Number: 20-117 6th Period:
Instructor: Dr. Robert Rumely
E-mail: rr@math.uga.edu
Office: 437 Grad Studies (706)
542-2630
Home:
Office
Hours: 5th
Period (
Text: Edwards and Penney, Calculus with Analytic Geometry (6th
edition)
Purpose: The goal of this course is for you to
become familiar with the Riemann integral.
You will learn its meaning, its relation to the derivative, some of its
applications, and
how to compute it. The course also includes a brief introduction
to differential equations.
Grades: There will be 4 hour-long exams during the
course, several quizzes, and a 3-hour
comprehensive final. The course will be targeted for a flat
grading scale (A
= 90+,
B = 80+, etc). Your course
average will be determined using the weights
4 Hour-long
Exams 400 pts total
Quizzes 50 pts total
Final 200 pts
In-Class
Exams: February 6, March 1,
April 9, April 28
Final
Exam: Friday, May 7,
Attendance: Attendance will be taken starting Monday,
January 12
Students with more than 3
unexcused absences may be withdrawn from the class.
Academic
Honesty: The
course will operate in accordance with UGA’s academic
honesty policy
(http://www.uga.edu/ovpi)
Homework: Homework will be assigned daily, and it is
essential that you do all reading before
the next class and attempt all problems. We
will spend some class time going over
questions on homework. However, homework will not directly enter
into your grade.
Course
Outline: The
course will cover the following sections and topics:
Section Topics
Days
5.3 Elementary Area Computations 1
5.4 Riemann Sums and the
Integral 2
5.5 Evaluation
of Integrals 2
5.6, 6.7 Fundamental
Theorem of Calculus, Defn of ln(x) 1
5.7
Computing integrals
by Substitutions 2
7.3 Integration by parts
2
Review
TEST 1
5.8 Areas of Plane Regions
1
6.1 Riemann Sum Approximations (Setting up integrals) 1
6.2 Volumes by the Disc Method 2
6.3 Volumes by the Shell Method 1
6.4 Arclength 1
6.5 Force
and Work 2
Review
TEST 2
5.9 Trapezoidal & Simpson’s Rules (without error bound) 1
6.8 Inverse Trig Functions 1
7.2 Basic
Integration Formulas/Substitution 1
7.4 Trig Integrals
3
7.5 Rational functions and Partial Fractions 3
7.6
Trig Substitutions
2
Recognizing
how to attack integrals 1
Review
TEST
3
8.1 Simple Differential Equations 2
8.3 Separable
Differential Equations 1
8.4 Linear first order equations and applications 2
8.6 Linear second
order equations 1
Review
TEST 4
Course
Review
1
Expected
Schedule:
Week: Monday Wednesday Friday
01/08-01/09 5.3
01/12-01/16 5.4 5.4 5.5
01/19-01/23 (MLK Day) 5.5 5.6, 6.7
01/26-01/30 5.7
5.7 7.3
02/02-02/06 7.3
Review TEST 1
02/09-02/13
5.8 6.1 6.2
02/16-02/20 6.2 6.3 6.4
02/23-02/27 6.5 6.5 Review
03/01-03/05 TEST 2 5.9
6.8
03/08-03/12 (Spring Break) (Spring Break) (Spring Break)
03/15-03/19 7.2 7.4 7.4
03/22-03/26 7.4 7.5 7.5
03/29-04/02 7.5
7.6 7.6
04/05-04/09 Attacking Integrals Review TEST 3
04/12-04/16 8.1 8.1 8.3
04/19-04/23 8.4 8.4 8.6
04/26-04/29 Review TEST 4 Review
05/03-05/07 FINAL EXAM