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MIT 18.02: Multivariable Calculus →0/22
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Lec 1: Dot product | MIT 18.02 Multivariable Calculus, Fall 2007

38:40
2

Lec 2: Determinants; cross product | MIT 18.02 Multivariable Calculus, Fall 2007

52:51
3

Lec 3: Matrices; inverse matrices | MIT 18.02 Multivariable Calculus, Fall 2007

51:04
4

Lec 4: Square systems; equations of planes | MIT 18.02 Multivariable Calculus, Fall 2007

49:02
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Lec 5: Parametric equations for lines and curves | MIT 18.02 Multivariable Calculus, Fall 2007

50:50
6

Lec 6: Velocity, acceleration; Kepler's second law | MIT 18.02 Multivariable Calculus, Fall 2007

48:04
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Lec 7: Review | MIT 18.02 Multivariable Calculus, Fall 2007

49:50
8

Lecture 8: Level Curves; Partial Derivatives; Tangent Plane Approximation (18.02)

46:13
9

Lecture 9: Max-Min Problems; Least Squares (18.02)

49:44
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Lecture 10: Second Derivative Test; Boundaries & Infinity (18.02)

52:18
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Lecture 11: Differentials; Chain Rule (18.02)

50:09
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Lecture 12: Gradient; Directional Derivative; Tangent Plane (18.02)

50:10
13

Lecture 13: Lagrange Multipliers (18.02)

50:10
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Lecture 14: Non-Independent Variables (18.02)

49:11
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Lecture 15: Partial Differential Equations; Review (18.02)

45:23
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Lecture 16: Double Integrals (18.02)

48:00
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Lecture 17: Double Integrals in Polar Coords; Applications (18.02)

51:30
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Lecture 18: Change of Variables (18.02)

49:55
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Lecture 19: Vector Fields and Line Integrals in the Plane (18.02)

51:09
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Lecture 20: Path Independence and Conservative Fields (18.02)

50:23
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Lecture 21: Gradient Fields and Potential Functions (18.02)

50:11
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Lecture 22: Green's Theorem (18.02)

46:45

Lec 3: Matrices; inverse matrices | MIT 18.02 Multivariable Calculus, Fall 2007

Denis AurouxMIT

Professor of Mathematics

51:04·2009·undergraduate level

This lecture introduces matrix arithmetic, including addition, scalar multiplication, and matrix multiplication. The session further develops the concept of the inverse matrix and methods for its computation, essential for solving systems of linear equations in multivariable contexts.

MathematicsLinear AlgebraCalculus & AnalysisMatrix OperationsInverse Matrix

Lecture 03: Matrices; inverse matrices.

View the complete course at: http://ocw.mit.edu/18-02SCF10

More courses at http://ocw.mit.edu

Previous · Lecture 2

Lec 2: Determinants; cross product | MIT 18.02 Multivariable Calculus, Fall 2007

Next · Lecture 4

Lec 4: Square systems; equations of planes | MIT 18.02 Multivariable Calculus, Fall 2007

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