36 episodes

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.

Multivariable Calculus, Spring 2007 MIT

    • Education
    • 5.0 • 3 Ratings

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.

    • video
    Lecture 01: Dot product

    Lecture 01: Dot product

    • 38 min
    • video
    Lecture 02: Determinants; cross product

    Lecture 02: Determinants; cross product

    • 52 min
    • video
    Lecture 03: Matrices; inverse matrices

    Lecture 03: Matrices; inverse matrices

    • 51 min
    • video
    Lecture 04: Square systems; equations of planes

    Lecture 04: Square systems; equations of planes

    • 49 min
    • video
    Lecture 05: Parametric equations for lines and curves

    Lecture 05: Parametric equations for lines and curves

    • 50 min
    • video
    Lecture 06: Velocity, acceleration; Kepler's second law

    Lecture 06: Velocity, acceleration; Kepler's second law

    • 48 min

Customer Reviews

5.0 out of 5
3 Ratings

3 Ratings

KellymanXXX ,

Multivariable calculus demystified

Arnoux explains multivariable calculus brilliantly (and with an un-french 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.

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