What is a DIFFERENTIAL EQUATION?? **Intro to my full ODE course**
245.3 هزار بار بازدید -
4 سال پیش
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Free, Open-Source ODE Textbook I'm
Free, Open-Source ODE Textbook I'm adapting for this playlist: http://web.uvic.ca/~tbazett/diffyqs
The ODE Course Playlist: Ordinary Differential Equations (ODEs)
In this video I'm giving an introduction to ODEs or Ordinary Differential Equations. Our goal is to model a world where properties are changing, and we note from Calculus that rates of change were encoded by the derivative of a function. But where did those functions come from? Often, the answer is differential equations. We're going to see two major examples of differential equations in this video, exponential growth and free falling under gravity. In both we will talk about infinite families of solutions, and the role of initial conditions.
0:00 Intro
1:59 Exponential Growth
6:10 Body in Motion
10:23 Motivating Questions
OTHER COURSE PLAYLISTS:
►DISCRETE MATH: Discrete Math (Full Course: Sets, Log...
►LINEAR ALGEBRA: Linear Algebra (Full Course)
►CALCULUS I: Calculus I (Limits, Derivative, Integ...
► CALCULUS II: Calculus II (Integration Methods, Ser...
►MULTIVARIABLE CALCULUS (Calc III): Calculus III: Multivariable Calculus ...
►VECTOR CALCULUS (Calc IV) Calculus IV: Vector Calculus (Line In...
►LAPLACE TRANSFORMS: How to solve ODEs with infinite serie...
OTHER PLAYLISTS:
► Learning Math Series
5 Tips To Make Math Practice Problems...
►Cool Math Series:
Cool Math Series
BECOME A MEMBER:
►Join: @drtrefor
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
SOCIALS:
►Twitter (math based): Twitter: treforbazett
►Instagram (photography based): Instagram: treforphotography
The ODE Course Playlist: Ordinary Differential Equations (ODEs)
In this video I'm giving an introduction to ODEs or Ordinary Differential Equations. Our goal is to model a world where properties are changing, and we note from Calculus that rates of change were encoded by the derivative of a function. But where did those functions come from? Often, the answer is differential equations. We're going to see two major examples of differential equations in this video, exponential growth and free falling under gravity. In both we will talk about infinite families of solutions, and the role of initial conditions.
0:00 Intro
1:59 Exponential Growth
6:10 Body in Motion
10:23 Motivating Questions
OTHER COURSE PLAYLISTS:
►DISCRETE MATH: Discrete Math (Full Course: Sets, Log...
►LINEAR ALGEBRA: Linear Algebra (Full Course)
►CALCULUS I: Calculus I (Limits, Derivative, Integ...
► CALCULUS II: Calculus II (Integration Methods, Ser...
►MULTIVARIABLE CALCULUS (Calc III): Calculus III: Multivariable Calculus ...
►VECTOR CALCULUS (Calc IV) Calculus IV: Vector Calculus (Line In...
►LAPLACE TRANSFORMS: How to solve ODEs with infinite serie...
OTHER PLAYLISTS:
► Learning Math Series
5 Tips To Make Math Practice Problems...
►Cool Math Series:
Cool Math Series
BECOME A MEMBER:
►Join: @drtrefor
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
SOCIALS:
►Twitter (math based): Twitter: treforbazett
►Instagram (photography based): Instagram: treforphotography
4 سال پیش
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