Taylor Series Courses and Certifications

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
• 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

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
• On-Demand
• 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
• On-Demand
• Free Video

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Calculus: Single Variable Part 1 - Functions

8 reviews

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
• On-Demand
• Free Online Course (Audit)

Calculus: Single Variable Part 3 - Integration

517 ratings at Coursera

Explore integration techniques, differential equations, and the fundamental theorem of integral calculus in this advanced single-variable calculus course emphasizing conceptual understanding and applications.

• Coursera
• 17 hours
• On-Demand
• Free Online Course (Audit)

Calculus: Single Variable Part 4 - Applications

271 ratings at Coursera

Explore applications of calculus in geometry, physics, and probability. Learn to compute areas, volumes, and averages using integrals and differential elements.

• Coursera
• 21 hours
• On-Demand
• Free Online Course (Audit)

Single Variable Calculus

315 ratings at Coursera

Explore calculus through sequences, numerical methods, series, and Taylor expansions. Gain conceptual understanding and practical applications in engineering and sciences.

• Coursera
• 14 hours
• On-Demand
• Free Online Course (Audit)

Single Variable Calculus

Comprehensive calculus course covering differentiation, integration, and infinite series. Includes lecture videos, problem-solving tips, worked examples, and interactive applets to reinforce key concepts in single variable calculus.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

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
• On-Demand
• Free Trial Available

Calculus 2 - Full College Course

1 review

Comprehensive exploration of advanced calculus topics, including integration techniques, series, parametric equations, and polar coordinates, enhancing problem-solving skills in mathematics.

• freeCodeCamp
• 7 hours
• On-Demand
• Free Video