Multivariable Calculus, Spring 2007 MIT

 Education

This course covers vector and multivariable 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 3space.
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.




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Lecture 04: Square systems; equations of planes

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Lecture 05: Parametric equations for lines and curves

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Lecture 06: Velocity, acceleration; Kepler's second law
Customer Reviews
Multivariable calculus demystified
Arnoux explains multivariable calculus brilliantly (and with an unfrench dry sense of humor). For the first time I really understand this stuff.
The only question I still have is why the divergence theorem goes from a double integral to a triple integral and Stokes theorem 'merely' goes from a single to a double integral (in 2D both reduce to Green's theorem, and there is lovely symmetry there that appears to get lost in 3D).
But apart from that little snag, a brilliant lecture, and I look forward to a video lecture that takes this even further.