Name: Slide 1
Uploaded: 2023-12-11
Duration: 2 min 44 s
Description: [image]. www.bvrithyderabad.edu.in. BVRIT HYDERABAD College of Engineering for Women.

[image]. www.bvrithyderabad.edu.in. BVRIT HYDERABAD College of Engineering for Women. 

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BVRIT HYDERABAD College of Engineering for Women

BVRIT HYDERABAD College of Engineering for Women (UGC Autonomous Institution | Approved by AICTE | Affiliated to JNTUH) (NAAC Accredited – A Grade | NBA Accredited B.Tech. (EEE, ECE, CSE and IT))

Unveiling the Versatility: Exploring the Applications of Taylor's Theorem

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INTRODUCTION
 Taylor's Theorem is widely used to approximate complex functions with simpler polynomials. This is particularly helpful in engineering when dealing with intricate mathematical expressions, allowing for easier analysis and computation.

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ERROR ESTIMATION
 In numerical analysis, Taylor's Theorem helps estimate the error in numerical methods. By comparing the actual function value with its Taylor series approximation, engineers can gauge the accuracy of their calculations and make adjustments as needed.

1: Model Error-Estimation Error and Prediction Error | Download Scientific  Diagram

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PHYSICS – PENDELUM MOTION
 Taylor series expansions are applied in physics to approximate the motion of a pendulum. This simplifies the equations of motion, making it easier to study and analyze the behavior of pendulums in various scenarios.

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CHEMISTRY – REACTION KINETICS
 Taylor's Theorem finds application in chemistry for approximating reaction kinetics. It allows chemists to simplify rate equations, making it easier to study the kinetics of chemical reactions and predict reaction outcomes under different conditions.

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BIOLOGY – POPULATION DYNAMICS
 Biologists use Taylor's Theorem to model population dynamics. By approximating growth or decay functions with Taylor series, researchers can analyze the impact of various factors on population sizes over time.

Population Dynamics - Biology Encyclopedia - body, examples, human,  organisms, cycle, life, used, specific, types

5.3: Population Growth and Regulation - Biology LibreTexts

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COMPUTER SCIENCE – ALGORITHM OPTIMIZATION
 In computer science, Taylor's Theorem aids in algorithm optimization. By approximating complex algorithms with simpler polynomials, programmers can streamline computations and enhance the efficiency of software applications.

Hands-On Linear Programming: Optimization With Python – Real Python

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FINANCE – OPTION PRICING
 Taylor series expansions are applied in finance for option pricing models. This allows financial analysts to estimate the value of financial derivatives, such as options, under different market conditions, contributing to risk management strategies.

Is there an online 3D visualizer for options plotting the price against  underlying security price, volatility, volume and/or open interest? - Quora

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ENVIRONMENTAL SCIENCE – POLLUTION MODELLING
 Environmental scientists apply Taylor's Theorem to model pollution dispersion. By approximating pollutant concentration functions, researchers can study the impact of pollutants on the environment and develop strategies for pollution control and mitigation.

environmental pollution pictures drawing - An illustration representing the  impact of environmental da… | Pollution pictures, Environmental art,  Meaningful drawings

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80,600+ Thank You Stock Photos, Pictures & Royalty-Free Images - iStock | Thank  you card, Appreciation, Gratitude

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