Professor Dave Explains
Power Series Solutions Part 1: Leibniz Method
One technique for solving differential equations is to use power series. Hopefully we remember Maclaurin series and Taylor series from our study of calculus. These will actually have an important application here, as we can use infinite...
Professor Dave Explains
Power Series Solutions Part 2: Frobenius Method
We just learned how to solve differential equations using power series. However the simpler approached we used assumed that all the functions involved are infinitely differentiable at the point we are expanding about. This will not...
Catalyst University
Series | Introduction, Notation, Convergence & Divergence
Series | Introduction, Notation, Convergence & Divergence
Catalyst University
Power Series: Computing Integrals via Power Series: Example 1
Power Series: Computing Integrals via Power Series: Example 1
Catalyst University
Power Series | Power Series & Interval of Convergence: Example 3
Power Series | Power Series & Interval of Convergence: Example 3
Catalyst University
Power Series | Power Series & Interval of Convergence: Example 1
Power Series | Power Series & Interval of Convergence: Example 1
Catalyst University
Power Series | Power Series & Interval of Convergence: Example 2
Power Series | Power Series & Interval of Convergence: Example 2
Catalyst University
Power Series: Computing Integrals via Power Series: Example 2
Power Series: Computing Integrals via Power Series: Example 2
Sophia Learning
Sophia: Finding a Geometric Formula: Lesson 2
This lesson demonstrates how to calculate the terms needed to plug into a basic geometric sequence. It is 2 of 10 in the series titled "Finding a Geometric Formula."
Sophia Learning
Sophia: Finding a Geometric Formula: Lesson 8
This lesson demonstrates how to calculate the terms needed to plug into a basic geometric sequence. It is 8 of 10 in the series titled "Finding a Geometric Formula."
Sophia Learning
Sophia: Finding an Arithmetic Formula: Lesson 7
During this lesson, you will learn how to calculate the terms needed to solve a basic arithmetic formula. It is 7 of 10 in the series titled "Finding an Arithmetic Formula."
Sophia Learning
Sophia: Finding the Common Ratio: Lesson 3
This lesson describes how to plug data in for any two terms in the base formula and find the common ratio of a geometric sequence. It is 3 of 9 in the series titled "Finding the Common Ratio."
Sophia Learning
Sophia: Finding the Nth Term Geometric: Lesson 6
This lesson walks you through how to find any term in a geometric sequence when given a common ratio and an individual term. It is 6 of 10 in the series titled "Finding the Nth Term Geometric."
Sophia Learning
Sophia: Finding the Nth Term Arithmetic: Lesson 10
This lesson demonstrates how to interpret unknown values for an arithmetic sequence. It is 10 of 10 in the series titled "Finding the Nth Term Arithmetic."
Sophia Learning
Sophia: Finding the Nth Term Arithmetic: Lesson 8
This lesson demonstrates how to interpret unknown values for an arithmetic sequence. It is 8 of 10 in the series titled "Finding the Nth Term Arithmetic."
Sophia Learning
Sophia: Sequence and Functions: Lesson 1
This lesson teaches students how to relate a sequence to a function with a known limit. It is 1 of 4 in the series titled "Sequence and Functions."
Sophia Learning
Sophia: Sequence Limit Laws: Lesson 1
This lesson teaches students about the limit laws used to manipulate sequences. It is 1 of 6 in the series titled "Sequence Limit Laws."
Sophia Learning
Sophia: Finding the Common Ratio: Lesson 8
This lesson describes how to plug data in for any two terms in the base formula and find the common ratio of a geometric sequence. It is 8 of 9 in the series titled "Finding the Common Ratio."
Sophia Learning
Sophia: Finding the First N Terms: Lesson 10
This lesson will show how to find the terms of a sequence from the formula for the sequence. It is 10 of 10 in the series titled "Finding the First N Terms."
Sophia Learning
Sophia: Finding the First N Terms: Lesson 7
This lesson will show how to find the terms of a sequence from the formula for the sequence. It is 7 of 10 in the series titled "Finding the First N Terms."
Sophia Learning
Sophia: Error Bounds of Taylor Series: Lesson 1
This lesson will show students the error bounds of Taylor approximations. It is 1 of 4 in the series titled "Error Bounds of Taylor Series."