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Now showing items 1-10 of 13

#### 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: Sketching 3D Curves

(Swinburne Commons, 2012)

Shows how to sketch a 3D curves which is given in vector form on 2D paper. The curve is rewritten in scalar parametric form, values for the parameter t are selected, and points on the curve calculated. These are then plotted ...

#### MathsCasts: Solving Quadratic Equations: Part 2

(Swinburne Commons, 2012)

Example of how to use the Guide Number method to solve a quadratic equation.

#### MathsCasts: Taylor Series: Logarithmic Functions

(Swinburne Commons, 2012)

This video demonstrates calculating the Taylor series for the natural logarithmic function about the point x = 1.

#### MathsCasts: Evaluating Limits as x Approaches Infinity: Part 3

(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: Composition Notation

(Swinburne Commons, 2012)

This video explains the appropriate notation to denote the composition of functions.

#### 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: Adding and Subtracting Vectors Algebraically

(Swinburne Commons, 2012)

Worked examples of adding and subtracting vectors algebraically in terms of i and j and also using the result of the proof of vector ab = vector b - vector a.