Taylor Series Courses and Certifications

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

1 rating

Explores Taylor series, complex numbers in polar form, and their connection to trigonometric functions before applying them to simple harmonic motion.

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

3Blue1Brown

Taylor Series

See how Taylor series turn derivative information at one point into polynomial approximations of functions, with examples involving cosine, e^x, and convergence.

• YouTube
• 22 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

Review Taylor and power series through sine and cosine expansions, with Python and MATLAB plots showing how higher-order terms improve approximations.

• YouTube
• 29 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

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
• 4 weeks, 3 hours a week
• Self-Paced
• Paid Course

Mathematics for Machine Learning: Multivariate Calculus

9 ratings

Build the calculus toolkit behind machine learning: derivatives and the chain rule, Jacobians and Hessians, Taylor series, gradient descent, and linear regression fitted in Python.

• Coursera
• 6 weeks, 3 hours a week
• 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

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

Math with Professor V

Calculus 2 Exam 3 - Ratio Test, Power Series, Taylor Series and Convergence - Part 2

Master Ratio Test, Power Series, Taylor & Maclaurin Series, and convergence tests with exam-style problems and step-by-step solutions for Calculus 2 success.

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

Single Variable Calculus

474 ratings at Coursera

Retool calculus for discrete inputs: work with sequences, numerical methods for differential equations and integrals, convergence tests for series, and power and Taylor series.

• Coursera
• 5 weeks, 2 hours a week
• Self-Paced
• Paid Course

Calculus 1C: Coordinate Systems & Infinite Series

Compute arc length, do calculus in polar coordinates, parameterize curves, and approximate functions with Taylor polynomials while testing the convergence of infinite series.

• MITx Online
• 6 weeks, 5-10 hours/week
• Self-Paced
• Free Online Course

Eddie Woo

Introduction to Complex Numbers

Discover the power of complex numbers, from imaginary units to polar forms, unlocking mathematical realities through geometric interpretations and elegant identities.

• YouTube
• 5 hours 46 minutes
• Self-Paced
• Free Video

Eddie Woo

Introduction to Complex Numbers

Master complex numbers from basic arithmetic to Euler's identity, exploring polar forms, geometric interpretations, and polynomial applications through comprehensive examples.

• YouTube
• 13 hours 47 minutes
• Self-Paced
• Free Video

Krista King

Sequences and Series - Complete Course with Convergence Tests and Power Series

Learn to analyze sequences and series through convergence tests, power series, and Taylor and Maclaurin expansions.

• YouTube
• 8 hours 8 minutes
• Self-Paced
• Free Video