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Now showing items 31-40 of 133

#### MathsCasts: Second Order Partial Differentiation

(Swinburne Commons, 2011)

This screencast defines the four second-order partial derivatives that can be calculated for a function of two variables, and then demonstrates their calculation in practice for a specific example.

#### MathsCasts: Adding and Subtracting Example

(Swinburne Commons, 2013)

We look at several examples of adding and subtracting positive and negative numbers, including examples where there are two immediately adjacent signs (e.g. two negative signs).

#### MathsCasts: 2nd Order Differential Equation Initial Value Problem

(Swinburne Commons, 2012)

An example of solving a second order differential equation (where the right hand side is an exponential function), given specific initial conditions y(0) and y'(0) are also provided.

#### MathsCasts: Solving Equations Involving Exponents

(Swinburne Commons, 2012)

A demonstration of how to tranpose the formula y=(ae^t+be^(-t))/(ce^t+de^(-t)) to make t the subject.

#### MathsCasts: Partial Fractions: Example 2

(Swinburne Commons, 2012)

An example of calculating partial fractions when one of the factors on the denominator is a repeated linear factor.

#### MathsCasts: Integrals with Odd Power of Tanx and Any Power of Secx

(Swinburne Commons, 2016)

An example of integrating a function that is a product of an odd power of tan x and a power of secx.

#### MathsCasts: Integrating cos^2 x and sin^2 x

(Swinburne Commons, 2016)

An example of how double-angle formulae can be used to help with integrating sin^2 x and cos^2 x

#### MathsCasts: Integration by Substitution Example

(Swinburne Commons, 2016)

An example of using integration by substitution to integrate the function (sqrt(1+sqrtx))

#### MathsCasts: Complex Numbers Division

(Swinburne Commons, 2012)

The general principle is explained of how to divide one complex number by another when both numbers are written in Cartesian form, so that the denominator of the final answer is a real number. A specific example of using ...

#### MathsCasts: Three Forms of a Straight Line in 3D

(Swinburne Commons, 2011)

This screencast shows the general method, together with an example, of finding the equation of a straight line in 3D in vector form, scalar parametric form and Cartesian form.