Multivariable Calculus, Spring 2007

Multivariable Calculus, Spring 2007

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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 t…

Prof. Denis Auroux

Jul 6, 2015 LATEST EPISODE
infrequent NEW EPISODES
48m AVG DURATION
36 EPISODES

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Latest episodes from Multivariable Calculus, Spring 2007

Lecture 30: Line integrals in space, curl, exactness and potentials

Play Episode Listen Later Jul 6, 2015 49:41

space lecture curl potentials integrals

Lecture 35: Final review (cont

Play Episode Listen Later Jul 6, 2015 48:52

Lecture 33: Topological considerations; Maxwell's equations

Play Episode Listen Later Jul 6, 2015 28:39

lecture considerations equations topological

Lecture 34: Final review

Play Episode Listen Later Jul 6, 2015 43:53

Lecture 32: Stokes' theorem (cont

Play Episode Listen Later Jul 6, 2015 50:13

lecture cont stokes theorem

Lecture 31: Stokes' theorem

Play Episode Listen Later Jul 6, 2015 48:25

lecture stokes theorem

Lecture 26: Spherical coordinates; surface area

Play Episode Listen Later Jul 6, 2015 51:05

lecture coordinates spherical surface area

Lecture 24: Simply connected regions; review

Play Episode Listen Later Jul 6, 2015 50:00

connected lecture regions

Lecture 25: Triple integrals in rectangular and cylindrical coordinates

Play Episode Listen Later Jul 6, 2015 48:42

triple lecture coordinates rectangular integrals

Lecture 27: Vector fields in 3D; surface integrals and flux

Play Episode Listen Later Jul 6, 2015 50:34

fields lecture surface flux vector integrals

Lecture 29: Divergence theorem (cont

Play Episode Listen Later Jul 6, 2015 50:13

lecture cont divergence theorem

Lecture 28: Divergence theorem

Play Episode Listen Later Jul 6, 2015 49:15

lecture divergence theorem

Lecture 23: Flux; normal form of Green's theorem

Play Episode Listen Later Jul 6, 2015 50:13

normal lecture flux theorem

Lecture 22: Green's theorem

Play Episode Listen Later Jul 6, 2015 46:49

lecture theorem

Lecture 21: Gradient fields and potential functions

Play Episode Listen Later Jul 6, 2015 50:11

fields lecture functions gradient

Lecture 21: Gradient fields and potential functions

Play Episode Listen Later Jul 6, 2015 50:11

fields lecture functions gradient

Lecture 20: Path independence and conservative fields

Play Episode Listen Later Jul 6, 2015 50:27

independence conservatives fields lecture

Lecture 19: Vector fields and line integrals in the plane

Play Episode Listen Later Jul 6, 2015 51:13

plane fields lecture vector integrals

Lecture 18: Change of variables

Play Episode Listen Later Jul 6, 2015 49:55

lecture variables

Lecture 14: Non-independent variables

Play Episode Listen Later Jul 6, 2015 49:10

independent lecture variables

Lecture 16: Double integrals

Play Episode Listen Later Jul 6, 2015 47:59

lecture integrals

Lecture 17: Double integrals in polar coordinates; applications

Play Episode Listen Later Jul 6, 2015 51:34

applications lecture polar coordinates integrals

Lecture 15: Partial differential equations; review

Play Episode Listen Later Jul 6, 2015 45:23

lecture partial differential equations

Lecture 13: Lagrange multipliers

Play Episode Listen Later Jul 6, 2015 50:10

lecture multipliers lagrange

Lecture 12: Gradient; directional derivative; tangent plane

Play Episode Listen Later Jul 6, 2015 50:10

plane lecture tangent gradient directional derivative

Lecture 08: Level curves; partial derivatives; tangent plane approximation

Play Episode Listen Later Jul 6, 2015 46:13

plane lecture tangent curves approximation partial derivatives

Lecture 09: Max-min problems; least squares

Play Episode Listen Later Jul 6, 2015 49:48

lecture squares

Lecture 07: Review

Play Episode Listen Later Jul 6, 2015 49:50

Lecture 11: Differentials; chain rule

Play Episode Listen Later Jul 6, 2015 50:09

lecture differentials chain rule

Lecture 10: Second derivative test; boundaries and infinity

Play Episode Listen Later Jul 6, 2015 52:18

boundaries lecture infinity derivative

Lecture 02: Determinants; cross product

Play Episode Listen Later Jul 6, 2015 52:51

lecture determinants cross product

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

Play Episode Listen Later Jul 6, 2015 48:04

lecture velocity acceleration second law

Lecture 03: Matrices; inverse matrices

Play Episode Listen Later Jul 6, 2015 51:08

lecture inverse matrices

Lecture 01: Dot product

Play Episode Listen Later Jul 6, 2015 38:44

lecture dot product

Lecture 05: Parametric equations for lines and curves

Play Episode Listen Later Jul 6, 2015 50:50

lines lecture curves equations parametric

Lecture 04: Square systems; equations of planes

Play Episode Listen Later Jul 6, 2015 49:02

square planes lecture equations

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