18.02 - Multivariable Calculus - MIT Video Lectures

18.02 Multivariable Calculus - MIT Video Lectures

Course Description :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.

TOTAL LECTURES - 35
Download Link (MIT Lecture Notes):
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Video Lecture Files	h.264	Ogg Video	Real Media	MPEG4
Lecture 01: Dot product.	227.3 MB	163.8 MB	63.0 MB
Lecture 01: Dot product.		160.2 MB		84.3 MB
Lecture 02: Determinants; cross product.	310.9 MB	223.5 MB	86.2 MB
Lecture 02: Determinants; cross product.		217.2 MB		115.0 MB
Lecture 03: Matrices; inverse matrices.	300.8 MB	216.3 MB	83.2 MB
Lecture 03: Matrices; inverse matrices.		211.2 MB		111.3 MB
Lecture 04: Square systems; equations of planes.	288.9 MB	202.8 MB	79.9 MB
Lecture 04: Square systems; equations of planes.		196.3 MB		106.7 MB
Lecture 05: Parametric equations for lines and curves.	299.9 MB	213.6 MB	82.8 MB
Lecture 05: Parametric equations for lines and curves.		207.7 MB		110.6 MB
Lecture 06: Velocity, acceleration; Kepler's second law.	282.8 MB	197.5 MB	78.4 MB
Lecture 06: Velocity, acceleration; Kepler's second law.		191.1 MB		104.8 MB
Lecture 07: Review.	293.3 MB	205.4 MB	81.2 MB
Lecture 07: Review.		198.5 MB		108.6 MB
Lecture 08: Level curves; partial derivatives; tangent plane approximation.	272.1 MB	163.8 MB	75.3 MB
Lecture 08: Level curves; partial derivatives; tangent plane approximation.		157.0 MB		100.8 MB
Lecture 09: Max-min problems; least squares.	292.8 MB	200.2 MB	81.0 MB
Lecture 09: Max-min problems; least squares.		196.3 MB		108.2 MB
Lecture 10: Second derivative test; boundaries and infinity.	307.8 MB	211.1 MB	85.2 MB
Lecture 10: Second derivative test; boundaries and infinity.		205.1 MB		113.8 MB
Lecture 11: Differentials; chain rule.	295.3 MB	202.6 MB	81.7 MB
Lecture 11: Differentials; chain rule.		198.5 MB		109.4 MB
Lecture 12: Gradient; directional derivative; tangent plane.	295.8 MB	190.8 MB	81.8 MB
Lecture 12: Gradient; directional derivative; tangent plane.		185.6 MB		109.3 MB
Lecture 13: Lagrange multipliers.	295.3 MB	164.3 MB	81.8 MB
Lecture 13: Lagrange multipliers.		156.8 MB		109.3 MB
Lecture 14: Non-independent variables.	289.0 MB	188.0 MB	80.1 MB
Lecture 14: Non-independent variables.		183.3 MB		107.2 MB
Lecture 15: Partial differential equations; review.	267.1 MB	165.1 MB	74.0 MB
Lecture 15: Partial differential equations; review.		162.4 MB		99.1 MB
Lecture 16: Double integrals.	283.0 MB	186.8 MB	78.2 MB
Lecture 16: Double integrals.		182.9 MB		141.9 MB
Lecture 17: Double integrals in polar coordinates; applications.	303.6 MB	208.7 MB	82.3 MB
Lecture 17: Double integrals in polar coordinates; applications.		206.7 MB		155.4 MB
Lecture 18: Change of variables.	293.7 MB	193.3 MB	79.8 MB
Lecture 18: Change of variables.		190.3 MB		146.5 MB
Lecture 19: Vector fields and line integrals in the plane.	300.8 MB	202.1 MB	81.8 MB
Lecture 19: Vector fields and line integrals in the plane.		200.9 MB		154.3 MB
Lecture 20: Path independence and conservative fields.	296.5 MB	207.9 MB	80.5 MB
Lecture 20: Path independence and conservative fields.		205.3 MB		152.9 MB
Lecture 21: Gradient fields and potential functions.	294.8 MB	203.2 MB	80.2 MB
Lecture 21: Gradient fields and potential functions.		200.6 MB		151.8 MB
Lecture 22: Green's theorem.	274.5 MB	195.7 MB	74.7 MB
Lecture 22: Green's theorem.		191.5 MB		141.9 MB
Lecture 23: Flux; normal form of Green's theorem.	295.7 MB	203.2 MB	80.3 MB
Lecture 23: Flux; normal form of Green's theorem.		201.5 MB		151.9 MB
Lecture 24: Simply connected regions; review.	288.6 MB	205.0 MB	78.3 MB
Lecture 24: Simply connected regions; review.		201.0 MB		148.9 MB
Lecture 25: Triple integrals in rectangular and cylindrical coordinates.	287.0 MB	203.2 MB	77.8 MB
Lecture 25: Triple integrals in rectangular and cylindrical coordinates.		200.1 MB		148.0 MB
Lecture 26: Spherical coordinates; surface area.	300.5 MB	208.1 MB	81.6 MB
Lecture 26: Spherical coordinates; surface area.		205.6 MB		155.0 MB
Lecture 27: Vector fields in 3D; surface integrals and flux.	297.4 MB	209.7 MB	80.8 MB
Lecture 27: Vector fields in 3D; surface integrals and flux.		206.7 MB		153.3 MB
Lecture 28: Divergence theorem.	290.1 MB	201.6 MB	78.7 MB
Lecture 28: Divergence theorem.		198.8 MB		149.3 MB
Lecture 29: Divergence theorem (cont.): applications and proof.	295.5 MB	201.1 MB	80.3 MB
Lecture 29: Divergence theorem (cont.): applications and proof.		199.3 MB		151.3 MB
Lecture 30: Line integrals in space, curl, exactness and potentials.	292.1 MB	195.8 MB	79.4 MB
Lecture 30: Line integrals in space, curl, exactness and potentials.		197.2 MB		149.0 MB
Lecture 31: Stokes' theorem.	284.4 MB	184.2 MB	78.8 MB
Lecture 31: Stokes' theorem.		184.8 MB		142.8 MB
Lecture 32: Stokes' theorem (cont.); review.	295.1 MB	204.7 MB	81.7 MB
Lecture 32: Stokes' theorem (cont.); review.		202.2 MB		152.3 MB
Lecture 33: Topological considerations; Maxwell's equations.	168.7 MB	117.3 MB	46.7 MB
Lecture 33: Topological considerations; Maxwell's equations.		115.7 MB		86.7 MB
Lecture 34: Final review.	258.4 MB	181.9 MB	71.5 MB
Lecture 34: Final review.		178.3 MB		133.0 MB
Lecture 35: Final review (cont.).	287.9 MB	183.6 MB	79.6 MB
Lecture 35: Final review (cont.).		187.0 MB		146.6 MB