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#### Discrete Mathematics

(Virtual University of Pakistan (VUP), 2013-04)

The course uses the patterns found in Sets, Relations and Functions. Mathematical ideas and concepts relevant to Logic, Combinatorics and Probability will be studied in this course. Matrices will be used to solve problems. ...

#### MathsCasts: Eigenvectors of a 3x3 Matrix

(Swinburne Commons, 2013)

We show how to find the eigenvectors for the 3 by 3 matrix whose eigenvalues were calculated in a separate presentation.

#### MathsCasts: The Vector Triple Product

(Swinburne Commons, 2013)

The video shows a simplification of a vector triple product.

#### MathsCasts: The Vector (Cross) Product of Two Vectors: Part 2

(Swinburne Commons, 2013)

The definition of the vector product is used to identify the cross products of the various basis vectors i, j and k with each-other, in preparation for unravelling a component form for the vector product.

#### MathsCasts: The Vector (Cross) Product of Two Vectors: Part 3

(Swinburne Commons, 2013)

This video explains how cross products between the basis vectors i,j and k identified in part 2 are used to obtain an expression in components for the vector product of any pair of vectors.

#### MathsCasts: The Vector (Cross) Product of Two Vectors: Part 1

(Swinburne Commons, 2013)

In this video the definition of the vector product is explained with reasons for making such a definition.

#### MathsCasts: Introduction to Cartesian Tensors: The Kronecker Delta: Part 1

(Swinburne Commons, 2013)

In this video we introduce the Kronecker delta and identify it as just another way of writing the unit matrix.

#### MathsCasts: The Scalar (Dot) Product of Two Vectors: Part 2

(Swinburne Commons, 2013)

This video covers the definition of the scalar product is used to derive an expression for the product in terms of components. Some properties of the product are then summarized.

#### MathsCasts: The Scalar (Dot) Product of Two Vectors: Part 1

(Swinburne Commons, 2013)

In this video, the definition of the scalar product is explained using the example of work done by a force.

#### MathsCasts: The Scalar (Dot) Product of Two Vectors: Part 3

(Swinburne Commons, 2013)

In this video we investigate and prove frequently used properties of the scalar product.