MES Links
Example 1: Approximating Cube Root Function by a 2nd Degree Taylor Polynomial https://youtu.be/0616gOyjbyQ In this video I approximate the cube root function x^(1/3) by using a 2nd degree Taylor polynomial at a = 8. The first step is to obtain the first 2…
Example 2: Approximating sin(x) with Taylor Polynomials and Calculating its Error https://youtu.be/FYD8E-kxpnk
In this video I go over a very in-depth video exploring the trigonometric sine function, its Taylor polynomials approximation, and its associated error.
#math #science #calculus #trigonometry #education
In this video I go over a very in-depth video exploring the trigonometric sine function, its Taylor polynomials approximation, and its associated error.
#math #science #calculus #trigonometry #education
MES Links
Example 2: Approximating sin(x) with Taylor Polynomials and Calculating its Error https://youtu.be/FYD8E-kxpnk In this video I go over a very in-depth video exploring the trigonometric sine function, its Taylor polynomials approximation, and its associated…
Example 3: Einstein's Theory of Special Relativity vs. Classical Theory for Kinetic Energy https://youtu.be/OQrJllLdbp0
In this video I approximate Albert Einstein's kinetic energy equation from his theory of special relativity and show that at low velocities the equation agrees with the classical Newtonian equation K = (1/2)mv^2.
#math #science #physics #Einstein #education
In this video I approximate Albert Einstein's kinetic energy equation from his theory of special relativity and show that at low velocities the equation agrees with the classical Newtonian equation K = (1/2)mv^2.
#math #science #physics #Einstein #education
MES Links
Example 3: Einstein's Theory of Special Relativity vs. Classical Theory for Kinetic Energy https://youtu.be/OQrJllLdbp0 In this video I approximate Albert Einstein's kinetic energy equation from his theory of special relativity and show that at low velocities…
Approximating Optical Refraction using Taylor Polynomials https://youtu.be/Y80dBUrTCh8
In this video, I demonstrate how Taylor polynomials are used in optical physics to simplify the complex refraction equation.
#math #science #physics #education #optics
In this video, I demonstrate how Taylor polynomials are used in optical physics to simplify the complex refraction equation.
#math #science #physics #education #optics
MES Links
Approximating Optical Refraction using Taylor Polynomials https://youtu.be/Y80dBUrTCh8 In this video, I demonstrate how Taylor polynomials are used in optical physics to simplify the complex refraction equation. #math #science #physics #education #optics
Exercise 1: Taylor Derivatives Equal the Function's Derivatives at x = a https://youtu.be/UqWf2PE1OeE
In this video I prove that the derivatives of a Taylor Polynomial are equal to the derivatives of the corresponding function used in the approximation when x = a. This is because any derivative at x = a of any Taylor polynomial cancels out all the terms (since a - a = 0) except the first term, which is just the corresponding derivative of f at x = a.
#math #science #education #STEM #calculus
In this video I prove that the derivatives of a Taylor Polynomial are equal to the derivatives of the corresponding function used in the approximation when x = a. This is because any derivative at x = a of any Taylor polynomial cancels out all the terms (since a - a = 0) except the first term, which is just the corresponding derivative of f at x = a.
#math #science #education #STEM #calculus
MES Links
MES Livestream 44: Methylminer Presents Evidence of a Hollow and Expanding Earth https://youtube.com/live/XBkraQr_o_g Methylminer joins the show to discuss his research into the possibility of a hollow (or gas-filled core) Earth that is constantly increasing…
MES Livestream 44: Methylminer Presents Evidence of a Hollow and Expanding Earth https://youtube.com/live/XBkraQr_o_g
Methylminer joins the show to discuss his research into the possibility of a hollow (or gas-filled core) Earth that is constantly increasing in size, both in volume and mass.
#geology #conspiracy #HollowEarth #science #history
Methylminer joins the show to discuss his research into the possibility of a hollow (or gas-filled core) Earth that is constantly increasing in size, both in volume and mass.
#geology #conspiracy #HollowEarth #science #history
MES Links
The Magnetic Field Resembles the Electric Field of 2 Bound Charges https://youtu.be/0c0k3MgFYcQ In this video I show that the magnetic field resembles the electric field of 2 "bound" or very closely together charges. #science #STEM #physics #magnetism #education
Magnetic Isopotentials Explain the Faraday Paradox, Stern-Gerlach Experiment, and Atomic Orbitals https://youtu.be/NOG9VOBtpY4 - notes
In this video I summarize the very important work of FractalWoman and Michael Snyder on Isopotentials, which are contours of equal magnetic field strength.
#science #magnetism #MESPhysics #education #physics
In this video I summarize the very important work of FractalWoman and Michael Snyder on Isopotentials, which are contours of equal magnetic field strength.
#science #magnetism #MESPhysics #education #physics
MES Links
Exercise 1: Taylor Derivatives Equal the Function's Derivatives at x = a https://youtu.be/UqWf2PE1OeE In this video I prove that the derivatives of a Taylor Polynomial are equal to the derivatives of the corresponding function used in the approximation when…
Exercise 2: Deriving the 1st Order and 3rd Order Optics Formulas https://youtu.be/leZ0QK_n07k - notes
In this video, I derive the first-order and third-order optics formulas by approximating the refraction formula for light using first and third-order Taylor polynomials, respectively.
#math #physics #optics #education #science
In this video, I derive the first-order and third-order optics formulas by approximating the refraction formula for light using first and third-order Taylor polynomials, respectively.
#math #physics #optics #education #science
MES Links
Exercise 2: Deriving the 1st Order and 3rd Order Optics Formulas https://youtu.be/leZ0QK_n07k - notes In this video, I derive the first-order and third-order optics formulas by approximating the refraction formula for light using first and third-order Taylor…
Exercise 3: Approximating Electric Field of Electric Dipoles using Binomial Series https://youtu.be/RSkkBiOjXnw - playlist - notes
In this video, I use the binomial series approximation to demonstrate that the electric field (E) of an electric dipole (two equal but opposite charges separated by a small distance) is proportional to 1 over the distance cubed when measured from a far distance.
#math #physics #science #education #calculus
In this video, I use the binomial series approximation to demonstrate that the electric field (E) of an electric dipole (two equal but opposite charges separated by a small distance) is proportional to 1 over the distance cubed when measured from a far distance.
#math #physics #science #education #calculus
MES Links
Exercise 3: Approximating Electric Field of Electric Dipoles using Binomial Series https://youtu.be/RSkkBiOjXnw - playlist - notes In this video, I use the binomial series approximation to demonstrate that the electric field (E) of an electric dipole (two…
Exercise 4: Approximating the Velocity of a Shallow Water Wave using Maclaurin Series https://youtu.be/Q_IXu-V8vng - playlist - notes
In this video I go over the water wave velocity equation and approximate it when the waves are deep and when the waves are shallow.
#math #science #physics #water #education
In this video I go over the water wave velocity equation and approximate it when the waves are deep and when the waves are shallow.
#math #science #physics #water #education
MES Links
Exercise 4: Approximating the Velocity of a Shallow Water Wave using Maclaurin Series https://youtu.be/Q_IXu-V8vng - playlist - notes In this video I go over the water wave velocity equation and approximate it when the waves are deep and when the waves are…
Exercise 5: Approximating the Period of a Pendulum using the Binomial and Geometric Series https://youtu.be/_6XvO2pRMW0 - playlist - notes
In this video I go over the formula for the period (time it takes to go back and forth) of a pendulum and approximate it using the binomial and geometric series.
#math #science #education #physics #STEM
In this video I go over the formula for the period (time it takes to go back and forth) of a pendulum and approximate it using the binomial and geometric series.
#math #science #education #physics #STEM