MATH 1501 Calculus I

This site contains a week-by-week listing of topics in the Calculus I syllabus, and computer materials to help you understand and and work with those topics. Not all teachers spend the same amount of time on each subject, or teach them in exactly the same order,so please pay more attention to the topics than to the weeks! Still, the week by week listing is here to encourage you to consult this site on a regular basis even if your professor is not referring directly to it. This site is designed to be a useful source of supplementary material that all students can use on their own as well as in directed study.

Please visit the Authors' Page for information on the authors, a copyright statement and the Georgia Tech Disclaimer.

Syllabus

GT Catalog description of the course.

Schedule

Topics	Sections	Lectures

Review of functions, graphs, inequalities and other basic notions.	1.1-1.8	2
Limits and continuity.	2.1-2.6	4
Differentiation: Computing derivatives.	3.1-3.9	7
Limits of sequences and the exponential function.	10.1-10.3, Web Notes	3
Minimum-maximum problems, applications of the derivative and curve sketching.	2.6, 4.3-4.8, Web Notes	6
Integration and the fundamental theorem of calculus.	5.1-5.8	6
Applications of integration.	6.1-6.6	5
Transcendental functions	7.1-7.3,7.5,7.6-7.7	4
Techniques of integration	8.1-8.5	4
Complex numbers	Web Notes	3

		44

Textbook

Calculus, one and several variables, by Salas, Hille, and Etgen (Eighth Edition);
John Wiley and Sons, Inc.,1999

Maple explorations: A collection of Maple worksheets designed for use with Calculus I.
Java Explorations: A collection of Maple worksheets designed for use with Calculus I.

Last updated: . School of Mathematics, Georgia Institute of Technology. For additional information please mail Prof. Eric A. Carlen or any of the authors.