Power Series Courses and Certifications

Professor Leonard

Calculus 2 - Power Series, Calculus of Power Series, Ratio Test for Interval of Convergence

Explore power series, their calculus applications, and use the ratio test to determine convergence intervals in this comprehensive mathematics lecture.

• YouTube
• 2 hours 30 minutes
• On-Demand
• Free Video

Time Series Analysis in Power BI

Learn to analyze data over time with this practical course on Time Series Analysis in Power BI. Work with real datasets & practice common techniques.

• DataCamp
• 5 hours
• On-Demand
• Free Trial Available

Gautam Varde

Power Series Method for Series Solutions of Differential Equations

Learn to find power series solutions for differential equations through clear examples and step-by-step explanations of the numerical method.

• YouTube
• 13 minutes
• On-Demand
• Free Video

Math with Professor V

Calculus 2 Exam 3 Walkthrough - Sequences and Series Review Fall 2025

Master sequences and series concepts through a rapid-fire Calculus 2 exam walkthrough covering convergence tests, power series, and Taylor/Maclaurin series with quick solution comparisons.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Steve Brunton

Taylor Series and Power Series Made Easy - Review of Calculus

1 review

Comprehensive review of Taylor and Power Series with visual aids and coding examples in Python and Matlab. Covers definitions, expansions for sine and cosine, and practical implementations.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Math with Professor V

Power Series and Function Representation - A Step-by-Step Guide

Master power series representation through a simplified three-case approach, with detailed examples and step-by-step explanations for finding function representations in calculus.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Math with Professor V

Finding the Radius and Interval of Convergence for Power Series

Master power series analysis through 6 practical examples demonstrating how to determine radius and interval of convergence, with clear explanations and step-by-step solutions.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Convergence Tests for Series and Power Series - Lecture 8

Master convergence tests for infinite series and explore power series fundamentals, including limsup, liminf concepts, and radius of convergence in this MIT real analysis lecture.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

Limsup and Liminf - Power Series - Continuous Functions - Exponential Function - Lecture 9

Explore limsup, liminf concepts, power series convergence, and the exponential function's definition while advancing your understanding of continuous functions in real analysis.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Differentiating and Integrating Power Series - Ordinary Differential Equations - Lecture 22

Explore term-by-term differentiation and integration of power series, then delve into ordinary differential equations, their nature, and solution existence/uniqueness concepts.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

The Arithmetic of Power Series and Applications to Irrationality

Explore advanced techniques for proving irrationality of mathematical periods using power series arithmetic and rational approximations in this research-level talk.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Shifted Substitution in Non-Commutative Multivariate Power Series with Applications to Free Probability Theory

Delve into advanced mathematical concepts of non-commutative power series, exploring group laws, pre-Lie structures, and their applications in Voiculescu's free probability theory.

• YouTube
• 30 minutes
• On-Demand
• Free Video

NCCR SwissMAP

The Arithmetic of Power Series and Applications to Irrationality

Explore advanced arithmetic techniques for power series and their applications in proving irrationality results in number theory.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Math with Professor V

Differential Equations: Power Series Review and Finding Solutions

Master essential power series concepts for solving differential equations, including radius of convergence, Taylor series, setting up solutions, and finding recurrence relations in this comprehensive review.

• YouTube
• 15 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Arithmetic of Power Series and Applications to Periods

Explore the mathematical foundations of power series arithmetic and their relationship to periods, focusing on singular differential equations and their applications.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video