Канал: The Ryder Project

Example: Interpreting Matlab Code

Example: Interpreting Matlab Code

Example: Interpreting a Linear Regression in Matlab

Example: Interpreting a Linear Regression in Matlab

Example: Integration by Parts

Example: Integration by Parts

Example: Integration #5

Example: Integration #5

Example: Stationary Points

Example: Stationary Points

Example: Average Value of Curve

Example: Average Value of Curve

Developing ODEs for Electrical Circuits

Developing ODEs for Electrical Circuits

Separable Differential Equation

Separable Differential Equation

Example: 2D Vectors

Example: 2D Vectors

Example: 3D Vectors

Example: 3D Vectors

Example: Coordinates, Magnitudes, Directions

Example: Coordinates, Magnitudes, Directions

Example: Application - Vector Displacements

Example: Application - Vector Displacements

Example: Domain/Range & Sketching Function #1

Example: Domain/Range & Sketching Function #1

Example: Domain/Range & Sketching Function #2

Example: Domain/Range & Sketching Function #2

Example: Matlab Function

Example: Matlab Function

Example: If Statement

Example: If Statement

Example: Plotting

Example: Plotting

Example: Integrating a Rational Function #2

Example: Integrating a Rational Function #2

Example: Integrating a Rational Function #1

Example: Integrating a Rational Function #1

Example: Developing ODE from FBD

Example: Developing ODE from FBD

Example: Solving a Separable Differential Equation

Example: Solving a Separable Differential Equation

Example: Solving a Differential Equation using an Integrating Factor

Example: Solving a Differential Equation using an Integrating Factor

Recap of Taylor Series & Linearisation

Recap of Taylor Series & Linearisation

Example of Linearising a Function

Example of Linearising a Function

Example: Matlab For Loop Introduction

Example: Matlab For Loop Introduction

Recap: Solving 2nd Order ODEs with Constant Coefficients

Recap: Solving 2nd Order ODEs with Constant Coefficients

Example: Solving a 2nd Order Constant Coefficient Homogeneous ODE

Example: Solving a 2nd Order Constant Coefficient Homogeneous ODE

Example: Solving a 2nd Order Constant Coefficient Non-Homogeneous ODE #2

Example: Solving a 2nd Order Constant Coefficient Non-Homogeneous ODE #2

Example: Verifying Eigenvectors & Eigenvalues in Matlab

Example: Verifying Eigenvectors & Eigenvalues in Matlab

Example: Solving a 2nd Order Constant Coefficient Non-Homogeneous ODE #1

Example: Solving a 2nd Order Constant Coefficient Non-Homogeneous ODE #1

Example: Solving a System of ODEs

Example: Solving a System of ODEs

Example: Solving a Second Order ODE, Part #1

Example: Solving a Second Order ODE, Part #1

Example: Solving a Second Order ODE, Part #2

Example: Solving a Second Order ODE, Part #2

Example: Manual Solution to ODE using Euler's Method

Example: Manual Solution to ODE using Euler's Method

Recap: Analytical versus Numerical Solutions to ODEs

Recap: Analytical versus Numerical Solutions to ODEs

Example: Solutions to ODEs in Matlab

Example: Solutions to ODEs in Matlab

Example: Differential Equation Application - Population Growth

Example: Differential Equation Application - Population Growth

Example: Differential Equation Application - Electrical Circuit

Example: Differential Equation Application - Electrical Circuit

Example: Probability Density Function

Example: Probability Density Function

Example: Calculating Probability from Normal Distribution

Example: Calculating Probability from Normal Distribution

Example: Hypothesis testing - t-test using sample

Example: Hypothesis testing - t-test using sample

Why don't you include weight in some FBDs for vibration?

Why don't you include weight in some FBDs for vibration?

Recap: Data Types

Recap: Data Types

Example: Data Types

Example: Data Types

Recap: Sampling Distributions

Recap: Sampling Distributions

Example: Sampling Distributions

Example: Sampling Distributions

Example: z-test, one sample, two-tail

Example: z-test, one sample, two-tail

Example: z-test, one sample, critical value approach

Example: z-test, one sample, critical value approach

Example: z-test, one sample, p-value approach

Example: z-test, one sample, p-value approach

Recap: Hypothesis Testing

Recap: Hypothesis Testing

Recap: z-test versus t-test

Recap: z-test versus t-test

Example: t-test, one sample, p-value approach

Example: t-test, one sample, p-value approach

Recap: Two sample t-test

Recap: Two sample t-test

Example: Two sample t-test, one tail

Example: Two sample t-test, one tail

Example: Simple Regression

Example: Simple Regression

Example: Regression with Extra Dummy Variables

Example: Regression with Extra Dummy Variables

Example: Multiple Regression

Example: Multiple Regression

Recap: Regression

Recap: Regression

Example: Time Series & Forecasting

Example: Time Series & Forecasting

Example: Forecasting

Example: Forecasting

Recap: Time Series & Forecasting

Recap: Time Series & Forecasting

Example: Confidence Interval (known population standard deviation)

Example: Confidence Interval (known population standard deviation)

Example: Confidence Interval (unknown population standard deviation)

Example: Confidence Interval (unknown population standard deviation)

Recap of Normal Distributions

Recap of Normal Distributions

Example: Normal Distribution Calculations 1 - Using Excel

Example: Normal Distribution Calculations 1 - Using Excel

Example: Normal Distribution Calculations 1 - Using Table

Example: Normal Distribution Calculations 1 - Using Table

Example: Normal Distribution Calculations 2 - Using Inverse Table

Example: Normal Distribution Calculations 2 - Using Inverse Table

Example: Normal Distribution Calculations 3

Example: Normal Distribution Calculations 3

Example: Normal Distribution Calculations 3 - Using Excel

Example: Normal Distribution Calculations 3 - Using Excel

Example: Binomial Probability Questions

Example: Binomial Probability Questions

Example: Another Binomial Probability

Example: Another Binomial Probability

Recap: Binomial Probability

Recap: Binomial Probability

Recap: Probability Distributions & Expected Values for Discrete Random Variables

Recap: Probability Distributions & Expected Values for Discrete Random Variables

Recap: Probability Rules

Recap: Probability Rules

Example: Probability Calculations using Contingency Table

Example: Probability Calculations using Contingency Table

Example: Creating Contingency Table

Example: Creating Contingency Table

Recap: Covariance & Correlation

Recap: Covariance & Correlation

Example: Covariance & Correlation

Example: Covariance & Correlation

Example: Frequency Table & Histogram

Example: Frequency Table & Histogram

Example: Quartiles, IQR & Outliers

Example: Quartiles, IQR & Outliers

Example: Mean & Standard Deviation

Example: Mean & Standard Deviation

Recap: Mean, Median, Mode & Standard Deviation

Recap: Mean, Median, Mode & Standard Deviation

Example: Finding Total Force using Vectors

Example: Finding Total Force using Vectors

Example: Sketch Parametric Equation

Example: Sketch Parametric Equation

Example: Vectors (Unit Vectors, Projections)

Example: Vectors (Unit Vectors, Projections)

Example: Vectors (Dot Product, Cross Product, Angle Between)

Example: Vectors (Dot Product, Cross Product, Angle Between)

Example: Finding & Expressing Resultant Vectors

Example: Finding & Expressing Resultant Vectors

Example: Newton's Law of Cooling (First Order Separable Differential Equation)

Example: Newton's Law of Cooling (First Order Separable Differential Equation)

Example: Motion Problem (First Order Separable Differential Equation)

Example: Motion Problem (First Order Separable Differential Equation)

Example #1: Mixing Problem with Differential Equations

Example #1: Mixing Problem with Differential Equations

Example: Solving a First Order Separable Differential Equation

Example: Solving a First Order Separable Differential Equation

Example #2: Mixing Problem with Differential Equations

Example #2: Mixing Problem with Differential Equations

Recap: Applying Differential Equations to Mixing Problems

Recap: Applying Differential Equations to Mixing Problems

Example: Sketching a Trigonometric Function

Example: Sketching a Trigonometric Function

Introduction to Partial Derivatives

Introduction to Partial Derivatives

Example: Definite Integration using Integration by Substitution

Example: Definite Integration using Integration by Substitution

Example: Integration by Parts

Example: Integration by Parts

Example: Partial Derivatives

Example: Partial Derivatives

Product & Quotient Rule Example

Product & Quotient Rule Example

Chain Rule Example

Chain Rule Example

Derivation of Quadratic Formula

Derivation of Quadratic Formula

Completing the Square for Finding Turning Point of Quadratic

Completing the Square for Finding Turning Point of Quadratic

Example: Differentiation #6

Example: Differentiation #6

Resultant of Couples Example

Resultant of Couples Example

Compatibility Example #2

Compatibility Example #2

Mechanics Sample Exam - Q19

Mechanics Sample Exam - Q19

Mechanics Sample Exam - Q18

Mechanics Sample Exam - Q18

Mechanics Sample Exam - Q17

Mechanics Sample Exam - Q17

Mechanics Sample Exam - Q16

Mechanics Sample Exam - Q16

Mechanics Sample Exam - Q15

Mechanics Sample Exam - Q15

Mechanics Sample Exam - Q14

Mechanics Sample Exam - Q14

Mechanics Sample Exam - Q13

Mechanics Sample Exam - Q13

Mechanics Sample Exam - Q10

Mechanics Sample Exam - Q10

Mechanics Sample Exam - Q9

Mechanics Sample Exam - Q9

Mechanics Sample Exam - Q5

Mechanics Sample Exam - Q5

Mechanics Sample Exam - Q4

Mechanics Sample Exam - Q4

Mechanics Sample Exam - Q3

Mechanics Sample Exam - Q3

Mechanics Sample Exam - Q1

Mechanics Sample Exam - Q1

Mechanics Sample Exam - Q11

Mechanics Sample Exam - Q11

Mechanics Sample Exam - Q12

Mechanics Sample Exam - Q12

Mechanics Sample Exam - Q20

Mechanics Sample Exam - Q20

Mechanics Sample Exam - Q6

Mechanics Sample Exam - Q6

Mechanics Sample Exam - Q8

Mechanics Sample Exam - Q8

Mechanics Sample Exam - Q7

Mechanics Sample Exam - Q7

Mechanics Sample Exam - Q2

Mechanics Sample Exam - Q2

Recap of Torsion

Recap of Torsion

Angle of Twist of Shaft with Torsion

Angle of Twist of Shaft with Torsion

Shear Stress in Rotating Shaft

Shear Stress in Rotating Shaft

Shear Stress in Shaft due to Torsion

Shear Stress in Shaft due to Torsion

Example: Vectors #6

Example: Vectors #6

Example: Average Value of a Function

Example: Average Value of a Function

Why FBD?

Why FBD?

Recap: Linearisation

Recap: Linearisation

Example: Linearisation #2

Example: Linearisation #2

Example: Linearisation #1

Example: Linearisation #1

Example: Solving for Complex Roots

Example: Solving for Complex Roots

Example: Solving an Equation with Complex Numbers #2

Example: Solving an Equation with Complex Numbers #2

Example: Solving an Equation with Complex Numbers #1

Example: Solving an Equation with Complex Numbers #1

Example: Complex Number Calculations

Example: Complex Number Calculations

Example: Encryption with Matrices #2

Example: Encryption with Matrices #2

Example: Inverse of 3x3 Matrix using Gaussian Elimination

Example: Inverse of 3x3 Matrix using Gaussian Elimination

Example: Encryption with Matrices #1

Example: Encryption with Matrices #1

Example: Global Max & Min

Example: Global Max & Min

Example: Solution to System of Linear Equations

Example: Solution to System of Linear Equations

Example: Vectors #5

Example: Vectors #5

Example: Vectors #4

Example: Vectors #4

Example: Vectors #3

Example: Vectors #3

Example: Solving a Separable Differential Equation

Example: Solving a Separable Differential Equation

Example: Using Conditions to Solve Differential Equation

Example: Using Conditions to Solve Differential Equation

Example: Vectors #2

Example: Vectors #2

Example: Vectors #1

Example: Vectors #1

Example: Differentiation #1

Example: Differentiation #1

Example: Differentiation #2

Example: Differentiation #2

Example: Differentiation #3

Example: Differentiation #3

Example: Differentiation #4

Example: Differentiation #4

Example: Differentiation #5

Example: Differentiation #5

Example: Integration #1

Example: Integration #1

Example: Integration #2

Example: Integration #2

Example: Integration #3

Example: Integration #3

Example: Integration #4

Example: Integration #4

Recap: Controller Design

Recap: Controller Design

Example: Design Lead-Lag Controller

Example: Design Lead-Lag Controller

Example: Design PID Controller

Example: Design PID Controller

Recap of Root Locus Diagrams

Recap of Root Locus Diagrams

Drawing Root Locus #2

Drawing Root Locus #2

Drawing Root Locus #1

Drawing Root Locus #1

Finding Requirements for SSE

Finding Requirements for SSE

Steady-State Error #2, using Error Constants

Steady-State Error #2, using Error Constants

Steady-State Error #1, using Final Value Theorem

Steady-State Error #1, using Final Value Theorem

Steady-State Error #1, using Error Constants

Steady-State Error #1, using Error Constants

Recap of Steady-State Error

Recap of Steady-State Error

Stability Example #1

Stability Example #1

Stability Example #3

Stability Example #3

Stability Example #2

Stability Example #2

Recap of Stability

Recap of Stability

Recap & Example of Final Value Theorem

Recap & Example of Final Value Theorem

Designing a Gain Controller, 2nd order with modelling & FVT

Designing a Gain Controller, 2nd order with modelling & FVT

Designing a Gain Controller, 3rd Order

Designing a Gain Controller, 3rd Order

Designing a Gain Controller, 2nd order

Designing a Gain Controller, 2nd order

Example: Block Diagram #3

Example: Block Diagram #3

Example: Block Diagram #2

Example: Block Diagram #2

Example: Block Diagram #1

Example: Block Diagram #1

Example: Time Response, 3rd order

Example: Time Response, 3rd order

Example: Time Response, 2nd order

Example: Time Response, 2nd order

Example: Time Response, 1st order

Example: Time Response, 1st order

Recap of Time Response Equations

Recap of Time Response Equations

Rotational 3DOF

Rotational 3DOF

Rotational System, 1DOF

Rotational System, 1DOF

Example: Motor Transfer Function

Example: Motor Transfer Function

Example: Finding Motor Constants

Example: Finding Motor Constants

Recap of Motor Systems

Recap of Motor Systems

Recap of Electrical Systems

Recap of Electrical Systems

Recap & Example of Op Amps

Recap & Example of Op Amps

Electrical System, 2DOF

Electrical System, 2DOF

Spring-Mass-Damper System, 2DOF

Spring-Mass-Damper System, 2DOF

Rotational System, 2DOF

Rotational System, 2DOF

Spring-Mass-Damper System, 3DOF

Spring-Mass-Damper System, 3DOF

Recap of Rotational System Components

Recap of Rotational System Components

Spring-Mass-Damper System, 1DOF

Spring-Mass-Damper System, 1DOF

Recap of Spring-Mass-Damper System Components

Recap of Spring-Mass-Damper System Components