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#### Advanced Algorithms Analysis and Design

(Virtual University of Pakistan (VUP), 2014-01)

This is a graduate level course. The major objective of this course is providing comprehensive knowledge of modern computer algorithms and solving scientific and engineering problems efficiently and accurately. The students ...

#### MathsCasts: Introduction to Laplace Transforms

(Swinburne Commons, 2012)

Defines the Laplace transform. Briefly describes the uses of a Laplace transform then deals with technical issues such as what is meant by infinity integration limit. Concludes with explanation of the restrictions on the ...

#### MathsCasts: Eigenvalues and Eigenvectors

(Swinburne Commons, 2012)

Explains graphically what it means to multiply a matrix and a vector. Then introduces eigenvectors as vectors belonging to the matrix with a special property in matrix vector multiplication. Eigenvalues are also explained ...

#### MathsCasts: Separable Differential Equations: Example 1

(Swinburne Commons, 2012)

This screencast gives an example of how to solve the first order separable differential equation: 2x/((1+x^2)y)

#### MathsCasts: Half-Range Fourier Series Part 1

(Swinburne Commons, 2012)

We continue the theme of half range series and examine how the integrations can be simplified using the symmetry of the function. Here we examine a half-range cosine series for a linear f(t).

#### MathsCasts: Odd Functions

(Swinburne Commons, 2012)

We explain what is meant by an odd function in terms of symmetry, then give a rule satisfied by the function. We show how to test for oddness then discuss the area under the graph of an even function between points an equal ...

#### MathsCasts: Even Functions

(Swinburne Commons, 2012)

We explain what is meant by an even function in terms of symmetry, then give a rule satisfied by the function. We show how to test for evenness then discuss the area under the graph of an even function between points an ...

#### MathsCasts: Roots of a Complex Number: Part 2

(Swinburne Commons, 2012)

Solve a question about finding the roots of a complex number.

#### MathsCasts: Velocity and Acceleration Given Position Vector

(Swinburne Commons, 2012)

This recording shows how velocity and acceleration of a particle travelling through 3D space are calculated given we have a general vector expression for the position vector at time t - this is then illustrated with a ...

#### MathsCasts: Product Rule: Part 1

(Swinburne Commons, 2012)

Introduction to the product rule - when and how to use it with steps and one example.