Herb Gross introduces 3-dimensional vectors.

Part I: Vector Arithmetic, Lecture 3: Three-Dimensional Vectors

Herb Gross reviews the definition of vectors and vector arithmetic.

Part I: Vector Arithmetic, Lecture 2: "Arrow" Arithmetic

Herb Gross discusses Green's Theorem: the relationship between line integrals and double integrals over a region in 2-space.

Part V: Multiple Integration, Lecture 5: Green's Theorem

Herb Gross illustrates the equivalence of the fundamental theorem of the calculus of one variable to the fundamental theorem of the calculus of several variables.

Part V: Multiple Integration, Lecture 2: The Fundamental Theorem

Herb Gross illustrates how the Jacobian arises when changing coordinates in order to calculate a double integral.

Part V: Multiple Integration, Lecture 3: Multiple Integration and the Jacobian

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

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

Herb Gross teaches us how to calculate infinite double (multiple) sums (for topics in calculus of several variables). This topic is analogous to the use of infinite sums in calculus of a single variable.

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

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

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

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

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

Herb Gross describes the mathematical structure of matrix algebra.

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

Calculus Revisited: Multivariable Calculus

Blows any modern professor out of the water.  Best lecture on calc 3 I&#39;ve seen.

Amazing!

Fantastic

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

Part IV: Matrix Algebra, Lecture 1: Linearity Revisited

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

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

Herb Gross defines the Directional Derivative and demonstrates how to calculate it. Herb also emphasizes the importance of this topic in the study of Calculus of Several Variables

Part III: Partial Derivatives, Lecture 3: Directional Derivatives

Herb Gross discusses Exact Differentials.

Part III: Partial Derivatives, Lecture 6: Exact Differentials

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

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

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