Math 2200
Syllabus Spring 2003

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: M/W 2:30-3:30 T/TH 12:45-3:45
Text: Calculus with Analytic Geometry, 6/th Edition
"Early Transcendentals Version", Prentice Hall. 1998

Class: M/W/F 1:25-2:15 C 112 Life Sciences

Course Outline:
1: Review of functions and graphs. (Chapter 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)
Test # 1 Friday Jan. 24

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 Feb. 14

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 Friday March 7

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)
Test # 4 Friday April 4

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)
15: The fundamental theorem of calculus (5.6)
16: Review and additional topics
Test # 5Wed. April 30

Final Exam: May 9 7-10 PM Note this is a change from the spring schedule.
Grades: Exam # 1 15%
Exam # 2 15%
Exam # 3 15%
Exam # 4 15%
Exam # 5 15%
Final Exam 25%

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.