Taylor Series Courses and Certifications

3Blue1Brown

Taylor Series

Explore the power of Taylor polynomials for approximations and analysis, covering cos(x), e^x, geometric interpretations, and convergence issues in this animated math lesson.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

The Taylor Series, Complex Numbers, and Simple Harmonic Motion - Lecture 16

Explore advanced mathematical concepts including Taylor series, complex numbers, and simple harmonic motion in this comprehensive lecture from Yale University's physics course.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 2 - Representation of Functions by Taylor Series and Maclaurin Series

Explore Taylor and Maclaurin series for representing functions, enhancing your understanding of advanced calculus concepts and their practical applications.

• YouTube
• 3 hours 2 minutes
• Self-Paced
• Free Video

Steve Brunton

Taylor Series and Power Series Made Easy - Review of Calculus

2 ratings

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
• Self-Paced
• Free Video

Steve Brunton

Taylor Series and Solutions to First and Second Order Linear ODEs

Explore Taylor series and solutions to linear ODEs, enhancing your understanding of engineering mathematics with practical applications and MATLAB code examples.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Krista King

Taylor Series - Build Them and Know When They Work

Master Taylor series construction, convergence analysis, and error bounds through step-by-step derivations and practical applications in this comprehensive calculus tutorial.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

Ross Dynamics Lab

Hyperbolic vs Non-Hyperbolic Fixed Points - Computing Their Invariant Manifolds via Taylor Series

Explore hyperbolic and non-hyperbolic fixed points, their invariant manifolds, and computational methods using Taylor series expansion in dynamical systems and nonlinear dynamics.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

blackpenredpen

Calculus - Taylor & Maclaurin Series

Explore Taylor and Maclaurin series applications in calculus, including polynomial expansions, logarithmic functions, and power series integrations and limits.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

Calculus: Single Variable Part 1 - Functions

8 ratings

Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat.

• Coursera
• 14 hours
• Self-Paced
• Paid Course

5 Minutes Engineering

Taylor Series with Solved Numerical Examples - Engineering Mathematics

Master Taylor Series concepts through clear Hindi explanations and practice with three detailed numerical examples for engineering mathematics applications.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

Fields Institute

Taylor Coefficients of Smooth Functions - The Moment Summation Approach

Explore the moment summation approach for analyzing Taylor coefficients of smooth functions, delving into advanced mathematical concepts and techniques.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Excellence Academy

Taylor's Series Expansion of Function of Two Variables Involving Partial Derivatives

Master Taylor's Series Expansion for functions of two variables, including partial derivatives, computation techniques, and practical applications with solved examples and questions.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Calculus for Engineers

9 ratings

Master university-level calculus tailored for engineers, covering precalculus, derivatives, integrals, Taylor series, and practical applications through concise videos and practice problems.

• Coursera
• 1 day 7 hours 23 minutes
• Self-Paced
• Paid Course

Michael Penn

Finding a Taylor Series Using Differential Equations

Explore an innovative approach to deriving Taylor series using differential equations, offering a fresh perspective on this fundamental mathematical concept.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

Introduction to Linear Modeling in Python

Explore the concepts and applications of linear models with python and build models to describe, predict, and extract insight from data patterns.

• DataCamp
• 4 hours
• Self-Paced
• Free Trial Available