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Now showing items 1-10 of 37

#### MathsCasts: Sequences and Series: Mixed Examples Part 1

(Swinburne Commons, 2012)

This video tests more advanced examples for convergence using either the ratio test or limit comparison test.

#### MathsCasts: Sequences and Series: Alternating Series Test

(Swinburne Commons, 2012)

This video introduces the concept of an alternating series and the Alternating Series test before utilizing this method to determine the convergence of such a series.

#### 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: Sequences and Series: The Ratio Test

(Swinburne Commons, 2012)

This video introduces the Ratio Test and it's convergence properties before utilizing this method on some simple examples.

#### MathsCasts: Sequences and Series: Interval of Convergence

(Swinburne Commons, 2012)

This video introduces the power series, the radius of convergence, and hence the interval of convergence before calculating the interval of convergence of a power series.

#### MathsCasts: Sequences and Series: Definiton

(Swinburne Commons, 2012)

This video explains the definition of a sequence and definition of a series, and also introduces the concept of the convergence or divergence of a series using basic examples.

#### MathsCasts: Sequences and Series: The P-Series

(Swinburne Commons, 2012)

This video introduces the P-Series and it's convergence properties before exploring some simple examples.

#### MathsCasts: Taylor Series: Definition

(Swinburne Commons, 2012)

This video introduces the notion of approximating a function via a polynomial before defining the Taylor and MacLaurin series.

#### MathsCasts: Sequences and Series: Mixed Examples Part 2

(Swinburne Commons, 2012)

This video tests more advanced examples for convergence using either the ratio test or limit comparison test.

#### MathsCasts: Sequences and Series: Factorials

(Swinburne Commons, 2012)

This video introduces the concept of factorials and how to simplify factorial expressions.