Cover image of Calculus Revisited: Multivariable Calculus

Calculus Revisited: Multivariable Calculus

Calculus Revisited: Multivariable Calculus

Ranked #1

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Part V: Multiple Integration, Lecture 4: Introduction to Line Integrals

Part V: Multiple Integration, Lecture 4: Introduction to Line Integrals

There is more than one type of integral in calculus of more than one variable. In this lesson, Herb Gross discusses line... Read more

20 Dec 2011

24mins

Ranked #2

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Part V: Multiple Integration, Lecture 1: Double Multiple Sums

Part V: Multiple Integration, Lecture 1: Double Multiple Sums

Herb Gross teaches us how to calculate infinite double (multiple) sums (for topics in calculus of several variables). Th... Read more

20 Dec 2011

29mins

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Part IV: Matrix Algebra, Lecture 3: Inverting a Matrix

Part IV: Matrix Algebra, Lecture 3: Inverting a Matrix

Herb Gross illustrates how to invert a square matrix and its relevance to Calculus of several variables.

20 Dec 2011

45mins

Ranked #4

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Part IV: Matrix Algebra, Lecture 5: Maxima and Minima in Several Variables

Part IV: Matrix Algebra, Lecture 5: Maxima and Minima in Several Variables

With our knowledge of Matrix Algebra to help, Herb Gross teaches how to find maxima and minima of functions of several r... Read more

20 Dec 2011

34mins

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Ranked #5

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Part IV: Matrix Algebra, Lecture 2: The "Game" of Matrices

Part IV: Matrix Algebra, Lecture 2: The "Game" of Matrices

Herb Gross describes the mathematical structure of matrix algebra.

20 Dec 2011

41mins

Ranked #6

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Part IV: Matrix Algebra, Lecture 1: Linearity Revisited

Part IV: Matrix Algebra, Lecture 1: Linearity Revisited

Herb Gross considers linearity in spaces of greater than 2 variables including a discussion of local linearity.

20 Dec 2011

47mins

Ranked #7

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Part IV: Matrix Algebra, Lecture 4: Inverting More General Systems of Equations

Part IV: Matrix Algebra, Lecture 4: Inverting More General Systems of Equations

Herb Gross demonstrates how to invert systems of non-linear equations.

20 Dec 2011

28mins

Ranked #8

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Part III: Partial Derivatives, Lecture 3: Directional Derivatives

Part III: Partial Derivatives, Lecture 3: Directional Derivatives

Herb Gross defines the Directional Derivative and demonstrates how to calculate it. Herb also emphasizes the importance ... Read more

20 Dec 2011

33mins

Ranked #9

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Part III: Partial Derivatives, Lecture 6: Exact Differentials

Part III: Partial Derivatives, Lecture 6: Exact Differentials

Herb Gross discusses Exact Differentials.

20 Dec 2011

29mins

Ranked #10

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Part III: Partial Derivatives, Lecture 4: The Chain Rule

Part III: Partial Derivatives, Lecture 4: The Chain Rule

Herb Gross shows examples of the Chain Rule for several variables.

20 Dec 2011

38mins

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