Taylor Series Courses and Certifications

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

Ross Dynamics Lab

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

Compute stable and unstable invariant manifolds of hyperbolic fixed points using a two-dimensional example and Taylor-series approximations.

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

Calculus I: From Functions to Differential Equations

27 ratings at edX

Refresh and review your bachelor-level calculus. This course covers all the various differentiation and integration techniques and guides you through several important methods for solving differential

• edX
• 6 weeks, 4-6 hours a week
• Self-Paced
• Free Online Course (Audit)

Calculus 2 - Full College Course

1 rating

Work through second-semester calculus: areas and volumes of revolution, integration by parts and trig substitution, improper integrals, convergence tests, Taylor and power series, parametric and polar curves.

• freeCodeCamp
• 7 hours
• Self-Paced
• Free Video

General Calculus II

Master second-semester calculus: integration techniques and applications, exponential and logistic models, parametric equations and polar coordinates, sequences and series, and vectors and geometry.

• StraighterLine
• Self-Paced
• Paid Course

3Blue1Brown

What Is Euler's Formula Actually Saying? - Lockdown Live Math

A visual, interactive exploration of what Euler’s formula means: complex exponentials encode rotations, connect to the unit circle, and yield the celebrity equation.

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

Krista King

AP Calculus BC Comprehensive Review - Short Lessons Collection

Master essential AP Calculus BC concepts through bite-sized lessons covering derivatives, integrals, differential equations, series, and polar/parametric functions.

• YouTube
• 1 hour 42 minutes
• Self-Paced
• Free Video

5 Minutes Engineering

Taylor Series with Solved Numerical Examples - Engineering Mathematics

Master Taylor Series concepts through clear Hindi explanations and practical numerical examples, focusing on essential engineering mathematics applications and problem-solving techniques.

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

Academic Lesson

Calculus 2

Explore convergence tests, power series, Taylor and Maclaurin expansions, direction fields, and Euler’s method in a second-course calculus sequence.

• YouTube
• 5 hours 59 minutes
• Self-Paced
• Free Video

Steve Brunton

Second Order Harmonic Oscillator, Characteristic Equation, Ode45 in MATLAB

Solve second-order harmonic oscillator and spring-mass-damper equations using Taylor series, characteristic equations, and MATLAB's ode45.

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

Steve Brunton

Numerical Differentiation with Finite Difference Derivatives

Learn forward, backward, and central finite-difference schemes for approximating derivatives and analyze their errors with Taylor series.

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

Steve Brunton

Second-Order Ordinary Differential Equations - Solving the Harmonic Oscillator Four Ways

Solve the harmonic oscillator from a spring-mass model in four ways, including guessed solutions, Taylor series, and a matrix formulation.

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

Insights into Mathematics

The Differential Calculus for Curves - Lagrange's Algebraic Approach - Lecture 4

Explore Lagrange's algebraic approach to differential calculus, focusing on polynomial functions and Taylor approximations. Learn about tangent lines, conics, and sub-derivatives without limits or real numbers.

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

Insights into Mathematics

Infinite Series in 17th and 18th Century Mathematics

Explore the historical development of infinite series, from geometric series to complex exponentials, with insights into key mathematicians and groundbreaking formulas of the 17th and 18th centuries.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video