This section contains video lectures, available as streaming or downloadable media. In addition to the textbook, there is also an online instructors manual and a student study guide. These mathematical tools and methods are used extensively. This course is taught based upon the lecture notes of james raymond munkres, professor of mathematics, emeritus. Video lectures multivariable calculus mit opencourseware. Herbert gross this course is a study of the calculus of functions of several variables vector arithmetic and vector calculus. Multivariable calculus mit opencourseware level curves mit 18. The notes below represent summaries of the lectures as written by professor auroux to the recitation instructors. Published in 1991 by wellesleycambridge press, the book is a useful resource for educators and selflearners alike. I second edition 1967 and the additional course notes by james raymond munkres. Both versions cover the same material, although they are taught by different faculty and rely on different textbooks. Multivariable calculus with theory mit opencourseware. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.

Find materials for this course in the pages linked along the left. In addition to the textbook, there is also an online. Herb gross has taught math as senior lecturer at mit and was the. Topics include vectors and matrices, parametric curves, partial derivatives, double and triple integrals, and vector calculus in 2 and 3space. Calculus of several variables mathematics mit opencourseware. Multivariable calculus mathematics mit opencourseware. There is also an online instructors manual and a student study guide. As its name suggests, multivariable calculus is the extension of calculus to more than one variable. This package contains the same content as the online version of the course, except for the audiovideo materials. This course covers differential, integral and vector calculus for functions of more than one variable. Multivariable calculus video lectures mit opencourseware. Lecture notes multivariable calculus mathematics mit. Textbook calculus online textbook mit opencourseware.

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