Episodes
Herb Gross introduces 3-dimensional vectors.
Published 05/17/12
Herb Gross reviews the definition of vectors and vector arithmetic.
Published 05/17/12
Herb Gross discusses Green's Theorem: the relationship between line integrals and double integrals over a region in 2-space.
Published 12/20/11
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.
Published 12/20/11
Herb Gross illustrates how the Jacobian arises when changing coordinates in order to calculate a double integral.
Published 12/20/11
There is more than one type of integral in calculus of more than one variable. In this lesson, Herb Gross discusses line integrals.
Published 12/20/11
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.
Published 12/20/11
Herb Gross illustrates how to invert a square matrix and its relevance to Calculus of several variables.
Published 12/20/11
With our knowledge of Matrix Algebra to help, Herb Gross teaches how to find maxima and minima of functions of several real variables.
Published 12/20/11
Herb Gross describes the mathematical structure of matrix algebra.
Published 12/20/11
Herb Gross considers linearity in spaces of greater than 2 variables including a discussion of local linearity.
Published 12/20/11
Herb Gross demonstrates how to invert systems of non-linear equations.
Published 12/20/11
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
Published 12/20/11
Herb Gross discusses Exact Differentials.
Published 12/20/11
Herb Gross shows examples of the Chain Rule for several variables.
Published 12/20/11
Herb Gross show how the Chain Rule is involved in finding some integrals involving parameters.
Published 12/20/11
Herb Gross introduces us to the traditional Calculus of Several Variables
Published 12/20/11
Herb Gross defines and demonstrates the use polar coordinates.
Published 12/20/11
Herb Gross describes n-Dimensional Vector Spaces relating definitions to the concept of a mathematical structure.
Published 12/20/11
Herb Gross discuss tangential and normal vectors to a point on a function in 2-space analagous to x-y coordinates.
Published 12/20/11
Herb Gross describes Vectors and Polar Coordinates.
Published 12/20/11
Herb Gross introduces the topic of Vector Functions of Scalar Variables.
Published 12/20/11
Herb Gross defines the cross product of two vectors.
Published 12/20/11
Herb Gross motivates the definition of the dot product and shows how to calculate the dot product of two vectors in 3-space.
Published 12/20/11
Herb Gross discusses the topic of lines and planes in 3-dimensional space.
Published 12/20/11