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Now showing items 1-10 of 365

#### 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: 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: 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: Integrals Using Laplace Transforms

(Swinburne Commons, 2012)

Shows how to use known Laplace transforms to evaluate infinite integrals involving exponentials in product with other functions. We extend the idea to products of an exponential with another fctn and with t using the ...

#### MathsCasts: Product Rule: Part 1

(Swinburne Commons, 2012)

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