Math 2200
Syllabus
Spring 2006
A first course in calculus introducing the derivative and its many
applications.
Instructor:
Dr. Calvin M. Burgoyne
642 Boyd Graduate Center
burgoyne@math.uga.edu
542-5021
Office
Hours: MWF
Text: Calculus with Analytic
Geometry, 6/th Edition
“Early Transcendentals Version”, Prentice Hall. 1998
Class: Monday/Wednesday/Friday:
Course
Outline:
1: Tangent lines (2.1)
2: Limits and continuity (2.2-2.3)
3:
The Derivative and rates of change (3.1)
Basic rules of differentiation
(3.2)
4:
Chain rule (3.3); Derivatives of algebraic functions (3.4)
5:
Maxima and minima on closed intervals (3.5)
Applied max-min problems (3.6)
6:
Derivatives of trig functions (3.7)
Test # 2 Friday March 3
7:
Derivatives of exponential and logarithmic functions (3.8)
8:
Related rates and implicit differentiation (3.9)
9:
Applications, Increments, Differentials and Linear Approximations (4.1- 4.2)
Test # 3 Monday April 3
10:
Mean Value Theorem (4.3)
The first derivative test and applications
(4.4)
11: Curve sketching (4.5)
12: Higher derivatives and concavity (4.6)
13: Asymptotes and advanced curve sketching
(4.7)
14:
Anti-derivatives and the initial
value problem (5.1-5.2)
Simple differential
equations (5.2)
16:
Review and additional topics
Test
# 4 Monday
April 24
Final Exam: Wed. May 3
Grades: Exam
# 1 15%
Exam # 2 15%
Exam # 3 15%
Exam # 4 15%
Quizzes and Homework 10%
Final Exam 30%
Academic
Honesty: Please refer to the University
Academic Honesty Policy at http://www.uga.edu/~vpaa/polproc/aapm/gap/general/40112.html
The outline is to be considered tentative and changes may be made as need.