MATH 1712 Survey of Calculus

This site contains a week-by-week listing of topics in the Survey of Calculus 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.

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Syllabus

GT Catalog description of the course.

Schedule

Topics	Sections	Lectures

Real Numbers, Absolute Value, Inequalities, and Cartesian Plane	1.1--1.4	3
Functions, Limits, Continuity, Tangent Lines, and Derivatives	2.1--2.6	6
Rules in Derivatives, Higher-Order Derivatives, Applications, and Differentiations	3.1--3.6	6
Curve Sketching and Optimization	4.1--4.5	5
Some Special functions and their Derivatives with Applications in Economics	5.1--5.6	3
Integration and their Applications	6.1--6.7	7
Techniques in Integration and Improper Integrals	7.1--7.4	3
Functions of Several Variables, Partial Derivatives, Total Differentials, Double Integrals, and their Applications	8.1--8.8	8
Differential Equations	9.1--9.3	3

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Textbook

Applied Calculus, by Soo Tang Tan (Sixth Edition);
Brooks/Cole Publishing Co., 2005

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

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