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#Taylor Series

Showing: 25 courses
Steve Brunton

Taylor Series and Power Series Made Easy - Review of Calculus

1 rewiews
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.
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5 Lesons
29 minutes
On-Demand
Free-Video
Yale University

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

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Explore advanced mathematical concepts including Taylor series, complex numbers, and simple harmonic motion in this comprehensive lecture from Yale University's physics course.
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8 Lesons
1 hour 14 minutes
On-Demand
Free-Video
University of Central Florida

Interest Point Detection in Computer Vision - Lecture 4

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Explore interest point detection techniques, including Harris Corner Detector and auto-correlation, with applications in computer vision and image processing.
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11 Lesons
1 hour 2 minutes
On-Demand
Free-Video
The Julia Programming Language

QSS: A Solver for Large Sparse Stiff Discontinuous Systems

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Explore a conference talk on QSS (Quantized State System), a solver designed for large sparse stiff discontinuous systems. Delve into the fundamental differences between classic methods and QSS algorithms, focusing on the concept of quantum Δ and its rol…
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1 Lesons
32 minutes
On-Demand
Free-Video
statisticsmatt

Sequences and Series of Real Numbers and Functions

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Comprehensive exploration of real number sequences and series, covering convergence, limits, and advanced mathematical concepts for a deep understanding of analysis fundamentals.
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32 Lesons
4 hours 30 minutes
On-Demand
Free-Video
blackpenredpen

Calculus - Taylor & Maclaurin Series

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Explore Taylor and Maclaurin series applications in calculus, including polynomial expansions, logarithmic functions, and power series integrations and limits.
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9 Lesons
30 minutes
On-Demand
Free-Video
Dr. Gajendra Purohit

Multivariable Calculus

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Comprehensive exploration of advanced calculus concepts, covering vector analysis, partial differentiation, complex analysis, and multivariable integration with practical examples and solutions.
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59 Lesons
16 hours
On-Demand
Free-Video
Dr. Gajendra Purohit

Integral Calculus

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Master integral calculus concepts like arc length, volumes, double and triple integrals, Taylor series, limits, and partial derivatives with practical examples and applications.
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20 Lesons
5 hours
On-Demand
Free-Video

Calculus 2

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Explore advanced calculus concepts including integration techniques, series, parametric equations, and polar coordinates. Develop problem-solving skills and deepen mathematical understanding.
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50 Lesons
7 hours
On-Demand
Free-Video
Professor Knudson

Calculus

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Master advanced calculus techniques including integration methods, series convergence, and Taylor series applications.
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23 Lesons
3 hours 30 minutes
On-Demand
Free-Video

Calculus II - Integration Methods, Series, Parametric-Polar, Vectors

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Comprehensive exploration of advanced calculus topics, including integration techniques, series analysis, parametric and polar curves, and vector fundamentals for a deeper mathematical understanding.
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51 Lesons
7 hours
On-Demand
Free-Video
3Blue1Brown

What Makes the Natural Log "Natural"

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Explore the natural logarithm's unique properties, its relationship with prime numbers, exponentials, and derivatives. Gain insights into mathematical concepts through engaging explanations and visual demonstrations.
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21 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Ross Dynamics Lab

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

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Explore hyperbolic and non-hyperbolic fixed points, their invariant manifolds, and computational methods using Taylor series expansion in dynamical systems and nonlinear dynamics.
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7 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Steve Brunton

Numerical Differentiation with Finite Difference Derivatives

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Learn techniques for approximating derivatives numerically using finite difference schemes. Explore error analysis with Taylor series and see practical implementations in MATLAB and Python.
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7 Lesons
37 minutes
On-Demand
Free-Video
Steve Brunton

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

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Explore four methods to solve second-order ODEs for harmonic oscillators: guessing, Taylor series, alternative guessing, and matrix systems. Gain practical problem-solving skills in differential equations.
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6 Lesons
37 minutes
On-Demand
Free-Video
3Blue1Brown

Taylor Series

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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.
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5 Lesons
22 minutes
On-Demand
Free-Video
Steve Brunton

Linearizing Nonlinear Differential Equations Near a Fixed Point

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Explore techniques to analyze nonlinear differential equations by linearizing dynamics near fixed points, enabling powerful linear ODE solutions for nonlinear systems.
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6 Lesons
23 minutes
On-Demand
Free-Video
Steve Brunton

Complex Numbers and Functions

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Explore complex numbers, Euler's formula, and functions of Z in engineering mathematics, covering geometric interpretations and convergent Taylor series.
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8 Lesons
49 minutes
On-Demand
Free-Video
Professor Leonard

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

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Explore Taylor and Maclaurin series for representing functions, enhancing your understanding of advanced calculus concepts and their practical applications.
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1 Lesons
3 hours 2 minutes
On-Demand
Free-Video
Michael Penn

Finding a Taylor Series Using Differential Equations

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Explore an innovative approach to deriving Taylor series using differential equations, offering a fresh perspective on this fundamental mathematical concept.
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1 Lesons
24 minutes
On-Demand
Free-Video
Fields Institute

Taylor Coefficients of Smooth Functions - The Moment Summation Approach

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Explore the moment summation approach for analyzing Taylor coefficients of smooth functions, delving into advanced mathematical concepts and techniques.
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1 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Complex Analysis - Functions of a Complex Variable, f(z)

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Explore complex functions including monomials, exponentials, and trigonometric functions. Learn about Taylor series and important identities in complex analysis.
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1 Lesons
25 minutes
On-Demand
Free-Video
Steve Brunton

Taylor Series and Solutions to First and Second Order Linear ODEs

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Explore Taylor series and solutions to linear ODEs, enhancing your understanding of engineering mathematics with practical applications and MATLAB code examples.
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1 Lesons
53 minutes
On-Demand
Free-Video
Steve Brunton

Second Order Harmonic Oscillator, Characteristic Equation, Ode45 in MATLAB

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Explore second-order harmonic oscillators, characteristic equations, and ode45 in MATLAB through practical examples and hands-on coding for engineering mathematics applications.
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9 Lesons
52 minutes
On-Demand
Free-Video
Simons Institute

Recent Advances in Quantum Simulation

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Explore recent advancements in quantum simulation, focusing on dynamical simulation, unitary access, and applications in quantum chemistry and physics.
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16 Lesons
51 minutes
On-Demand
Free-Video