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Now showing items 11-20 of 37

#### MathsCasts: Sequences and Series: The Limit Comparison Test

(Swinburne Commons, 2012)

This video introduces the Limit Comparison Test and utilizes this method to determine the convergence of a series.

#### MathsCasts: Iterative Reduction Formula: Part 1

(Swinburne Commons, 2011)

Firstly discusses iterative functions and solutions while noting the usefulness of an Iterative Reduction Formula for multiple integration by parts. Then applies this to a simple indefinite case.

#### MathsCasts: Iterative Reduction Formula: Part 2

(Swinburne Commons, 2011)

Continues the previous simple indefinite example noting the construction of a base case. Then considers the corresponding definite case.

#### MathsCasts: Maclaurin Series: Trigonometric Functions

(Swinburne Commons, 2012)

Calculates the MacLaurin series for the trigonometric function sine x. Comments on the pattern of the series.

#### MathsCasts: Partial Fractions: Linear Roots Part 2

(Swinburne Commons, 2011)

Firstly double checks the expansion from Part 1. Then shows the use of partial fractions to conduct the integration. Uses substitution in the resulting integrals.

#### MathsCasts: Newton's Method

(Swinburne Commons, 2012)

Introduces Newton' Method and explains the procedure for finding a root.

#### MathsCasts: Partial Fractions: Mixed Roots: Part 2

(Swinburne Commons, 2011)

Uses the expansion from Part 1 to conduct the integration. Uses substitution in the resulting integrals.

#### MathsCast: Completing the Square

(Swinburne Commons, 2011)

Explains the concept of completing the square with two practical examples resulting in trigonometric identities.

#### MathsCasts: Cyclical Integration by Parts

(Swinburne Commons, 2011)

Applies the method of repeated integration by parts to an function containing the product of exponential and trigonometric terms resulting in a cyclical answer.

#### MathsCasts: Integration by Parts: Integrating Arc Tan

(Swinburne Commons, 2011)

Applies the method of integration by parts to integrate Arc Tan.