## Search

Now showing items 1-10 of 21

#### MathsCasts: Range and Domain of Composite Functions

(Swinburne Commons, 2012)

Finds domain and range of a quadratic function, a hyperbola, and the two composite functions. Shows how to exclude values from the domain and range.

#### MathsCasts: Find the Rational Function: Part 2

(Swinburne Commons, 2012)

This screencast compares the graph of a rational function four possible functions and discusses which rational function has produced the graph.

#### MathsCasts: Multiplying by Variables in an Inequality

(Swinburne Commons, 2012)

This recording shows that it is possible to multiply by an expression containing a variable in an inequality - as long as one keeps track of when the expression is positive or negative.

#### MathsCasts: Absolute Value: Introduction: Part 1

(Swinburne Commons, 2012)

Part 1: Explains how to solve simple equalities/inequalities of the type abs(x)=constant, abs(x) < constant, abs(c) > constant.

#### MathsCasts: Polynomial Division

(Swinburne Commons, 2012)

Explains how to rewrite a cubic polynomial as the product of a linear term and a quadratic, by dividing the cubic by the linear term.

#### MathsCasts: How Does the Integrating Factor Method Work

(Swinburne Commons, 2011)

Explains the integrating factor method and gives a quick proof.

#### MathsCasts: Logarithmic Differentiation: Typed

(Swinburne Commons, 2011)

This screencast explains how differentiation requiring combinations (or multiple uses) of the product, chain and quotient rules can be made simpler by using logarithmic differentiation. This method relies on log rules to ...

#### MathsCasts: Vector Components

(Swinburne Commons, 2011)

Explains briefly the concept behind vector components - that one vector is written as the sum of a component into a direction of another, plus the perpendicular vector. Then an example is worked through.

#### MathsCasts: Transition Curves

(Swinburne Commons, 2012)

This recording first explains what a transition curves is and gives formulae to calculate the angle theta as well as any point on the curve (x,y). It then works through an example.

#### MathsCasts: What's Wrong? Differentiation with a Variable in the Exponent

(Swinburne Commons, 2012)

Shows two incorrect solutions to finding the derivative of (3x+5)^2x and discusses why they are incorrect. The correct approach is then explained.