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- Author:
-
Auroux, Denis
- Subject:
- Mathematics and Statistics
- Institution Name:
- M.I.T.
- Collection:
-
MIT OpenCourseWare
- Grade Level:
- Post-secondary
- Abstract:
This course covers differentiation and integration of functions of one variable, with applications. Topics in differentiation include the definition of differentiation, rules, application to graphing, rates, approximations, and extremum problems. Topics in indefinite integration include separable first-order differential equations and the fundamental theorem of calculus. Other topics covered include applications of integration to geometry and science, elementary functions, techniques of integration, polar coordinates, L'Hôpital's rule, improper integrals, and infinite series: geometric, p-harmonic, simple comparison tests, and formal power series for some elementary functions. This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space. MIT OpenCourseWare offers another version of 18.02, from the Spring 2006 term. Both versions cover the same material, although they are taught by different faculty and rely on different textbooks. Multivariable Calculus (18.02) is taught during the Fall and Spring terms at MIT, and is a required subject for all MIT undergraduates.
- Languages:
- English
- Material Type:
- Assessments, Full Course, Homework and Assignments, Lecture Notes, Syllabi, Video Lectures
- Media Format:
- Other, Text/HTML, Downloadable docs, Video
- Conditions of Use:
-
Creative Commons Attribution-Noncommercial-Share Alike 3.0
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Multivariable Calculus, Fall 2007
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