Канал: DaveAcademy

Overdamped SHM

Overdamped SHM

Intro to Dampened SHM

Intro to Dampened SHM

Lightly Damped SHM 1

Lightly Damped SHM 1

Lightly Damped SHM 2

Lightly Damped SHM 2

Simple Harmonic Motion (Differential Equations)

Simple Harmonic Motion (Differential Equations)

Culminating Examples

Culminating Examples

Modifying Particular Solutions

Modifying Particular Solutions

Method of Undetermined Coefficients 3

Method of Undetermined Coefficients 3

Undetermined Coefficients 2

Undetermined Coefficients 2

Method of Undetermined Coefficients 1

Method of Undetermined Coefficients 1

General Solution to Non-Homogeneous DE

General Solution to Non-Homogeneous DE

Complex Roots

Complex Roots

Repeated Roots 2 (higher order)

Repeated Roots 2 (higher order)

Repeated Roots 1

Repeated Roots 1

Distinct Roots

Distinct Roots

Properties of Linearity

Properties of Linearity

Second Order Linear Differential Equations

Second Order Linear Differential Equations

Linear Independence

Linear Independence

General and Particular Solutions

General and Particular Solutions

Intro to Differential Equations

Intro to Differential Equations

Hyperbolic Sin and Cos

Hyperbolic Sin and Cos

Complex Exponential Function 2

Complex Exponential Function 2

Complex Exponential Function 1

Complex Exponential Function 1

Roots of Unity

Roots of Unity

Roots of Complex Numbers 2

Roots of Complex Numbers 2

Roots of Complex Numbers

Roots of Complex Numbers

DeMoivre's Theorem 2

DeMoivre's Theorem 2

DeMoivre's Theorem (Mathematical Induction)

DeMoivre's Theorem (Mathematical Induction)

Math with Polar Form (Part 2)

Math with Polar Form (Part 2)

Math with Polar Form (Part 1)

Math with Polar Form (Part 1)

Plotting Complex Numbers/Polar Form

Plotting Complex Numbers/Polar Form

Euler's Formula Proof (Calculus)

Euler's Formula Proof (Calculus)

Euler's Formula Proof (Taylor Series)

Euler's Formula Proof (Taylor Series)

Small Angle Approximation

Small Angle Approximation

Taylor Series: Binomial Series 2

Taylor Series: Binomial Series 2

Taylor series: binomial series 1

Taylor series: binomial series 1

Expansion of ln(1+x) part 2

Expansion of ln(1+x) part 2

Expansion of ln(1+x) part 1

Expansion of ln(1+x) part 1

Convergence of Taylor Series 2

Convergence of Taylor Series 2

Convergence of Taylor Series 1

Convergence of Taylor Series 1

Derivatives of Taylor Series

Derivatives of Taylor Series

Taylor series expansion of Cos(x)

Taylor series expansion of Cos(x)

Taylor series expansion of Sin(x)

Taylor series expansion of Sin(x)

Intro to Complex Numbers

Intro to Complex Numbers

Series expansion of e^x

Series expansion of e^x

Finding Real and Imaginary Parts

Finding Real and Imaginary Parts

SHM problems 3

SHM problems 3

SHM problems 2

SHM problems 2

SHM problems 1

SHM problems 1

Physical Pendulum

Physical Pendulum

Simple Pendulum

Simple Pendulum

Moment of Inertia Review

Moment of Inertia Review

Torque review

Torque review

Other Systems of SHM 2

Other Systems of SHM 2

Other Systems of SHM 1

Other Systems of SHM 1

Intro to Taylor Series

Intro to Taylor Series

Simple Harmonic Motion: Mathematical Definition 2

Simple Harmonic Motion: Mathematical Definition 2

Simple Harmonic Motion: Mathematical Definition 1

Simple Harmonic Motion: Mathematical Definition 1

Simple Harmonic Motion: Qualitative Definition

Simple Harmonic Motion: Qualitative Definition

Simple Harmonic Motion and Energy 3

Simple Harmonic Motion and Energy 3

Simple Harmonic Motion and Energy 2

Simple Harmonic Motion and Energy 2

Simple Harmonic Motion and Energy 1

Simple Harmonic Motion and Energy 1

Amplitude Phase form 3

Amplitude Phase form 3

Amplitude Phase form 2

Amplitude Phase form 2

Amplitude-Phase Form 1

Amplitude-Phase Form 1

Basic Spring and Mass Examples

Basic Spring and Mass Examples

Frequency and Angular Frequency

Frequency and Angular Frequency

Simple Harmonic Motion 3: general and particular solution

Simple Harmonic Motion 3: general and particular solution

Simple Harmonic Motion 2: finding solutions

Simple Harmonic Motion 2: finding solutions

Simple Harmonic Motion 1: equation of motion

Simple Harmonic Motion 1: equation of motion