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Now showing items 31-40 of 60

#### MathsCasts: Inverse Laplace Transform Part 1

(Swinburne Commons, 2013)

Full title: Inverse Laplace transforms with (s^2 + a^2)^2 in the denominator and numerator linear or quadratic in s - Part 1 (MathsCasts). We use the result for inverse Laplace transform of a derivative to find the inverse ...

#### MathsCasts: Partial Fractions: Example 3

(Swinburne Commons, 2012)

An example of calculating partial fractions when one of the factors on the denominator is an irreducible quadratic factor.

#### MathsCasts: Even and Odd Rational Functions

(Swinburne Commons, 2012)

Shows how to check if a polynomial is even or odd, and extends this to a rational function.

#### MathsCasts: Evaluating Limits as x Approaches Infinity: Part 1

(Swinburne Commons, 2012)

Worked example for solving limits where x is approaching infinity. Includes graph of the function, explanation of the steps involved and why these steps are taken.

#### MathsCasts: Composite Hyperbolic Functions Involving an Inverse Function: Example 2

(Swinburne Commons, 2016)

In this recording we look at a second example of how to write a composite hyperbolic function as an algebraic function of x.

#### MathsCasts: Differentiation by First Principles Example: Quadratic Function

(Swinburne Commons, 2016)

Example of using differentiation by first principles to evaluate the derivative of a quadratic function.

#### MathsCasts: Multiplication of Letters and Numbers

(Swinburne Commons, 2011)

Worked example explains how to multiply numbers and letters. Also explains the concepts of expressions, constants and coefficients.

#### MathsCasts: Gaussian Elimination: Infinite Number of Solutions

(Swinburne Commons, 2011)

An example that works through the process of Gaussian elimination for a system with three equations in three unknowns where there are an infinite number of solutions and the final answer is hence written in terms of a parameter t.

#### MathsCasts: First Order Linear DEs: Integrating Factors: Part 2

(Swinburne Commons, 2011)

This screencast shows a medium-level example of the solution of a first order differential equation using the integration factors method.

#### MathsCasts: First Order Linear DEs: Integrating Factors: Part 1

(Swinburne Commons, 2011)

This screencast shows a simple example of the solution of a first order differential equation using the integration factors method.