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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: 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.
MathsCasts: Absolute Value: Less Than: Part 3
(Swinburne Commons, 2012)
Part 3: Shows how to solve absolute value inequalities, example abs(2x-1)<5
MathsCasts: Binary to Decimal Conversion
(Swinburne Commons, 2012)
Shows how to convert from a binary number to its corresponding decimal number. Two examples are given.
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.