Канал: Math All Day with Dr. George Sweeney

What is a parabola and how do I graph one?

What is a parabola and how do I graph one?

What is an ellipse and how do I graph one?

What is an ellipse and how do I graph one?

Solving the Volterra Equation using Laplace Transforms

Solving the Volterra Equation using Laplace Transforms

Using the Convolution Theorem to Do Laplace Transforms

Using the Convolution Theorem to Do Laplace Transforms

Verifying Functional Completeness- Boolean Algebras

Verifying Functional Completeness- Boolean Algebras

Solving Systems of Differential Equations using Laplace Transforms

Solving Systems of Differential Equations using Laplace Transforms

Solving Initial Value Problems using Laplace Transforms- Basic

Solving Initial Value Problems using Laplace Transforms- Basic

The Second Shifting Theorem and the Unit Step Function

The Second Shifting Theorem and the Unit Step Function

Laplace Transfroms-The First Shifting Theorem

Laplace Transfroms-The First Shifting Theorem

Related Rates- Triangle Example

Related Rates- Triangle Example

Periodic Laplace Transforms

Periodic Laplace Transforms

Inverse Laplace Transforms - Basic

Inverse Laplace Transforms - Basic

Laplace Transforms of Piecewise Functions

Laplace Transforms of Piecewise Functions

Finding Laplace Transforms

Finding Laplace Transforms

Defining the Laplace Transform

Defining the Laplace Transform

Boolean Functions

Boolean Functions

The Structure of Boolean Algebra

The Structure of Boolean Algebra

Decomposing a matrix into Elementary matrices

Decomposing a matrix into Elementary matrices

Using Elementary Row Matrices to Do Row Reduction

Using Elementary Row Matrices to Do Row Reduction

Basic Mixture Problems using first order linear differential equations

Basic Mixture Problems using first order linear differential equations

Pseudocode MiniLecture

Pseudocode MiniLecture

Finding Big Theta with subtraction of terms

Finding Big Theta with subtraction of terms

Conditional Logic

Conditional Logic

Explicit formulas for geometric series

Explicit formulas for geometric series

Explicit forms for arithmetic series

Explicit forms for arithmetic series

Divergence Theorem for Non-closed or non-simple volume

Divergence Theorem for Non-closed or non-simple volume

Discrete Math- Rules of Logarithms

Discrete Math- Rules of Logarithms

Discrete Math- Rules of Exponents Review

Discrete Math- Rules of Exponents Review

Direct Proof- Basics and Even and Odd

Direct Proof- Basics and Even and Odd

Differential Equations- Vector Differential Equations- Defective Coefficient Matrices

Differential Equations- Vector Differential Equations- Defective Coefficient Matrices

Higher Order Differential Equations and Systems of DE Review

Higher Order Differential Equations and Systems of DE Review

Vector Differential Equations: Nondefective coefficient matrices

Vector Differential Equations: Nondefective coefficient matrices

The Divergence Theorem

The Divergence Theorem

Stokes' Theorem

Stokes' Theorem

Surface Integrals over Vector Fields and Flux

Surface Integrals over Vector Fields and Flux

Surface Integrals for Scalar Functions

Surface Integrals for Scalar Functions

Surface Area- Multivariable Calculus

Surface Area- Multivariable Calculus

Parametrizing Surfaces

Parametrizing Surfaces

Curl

Curl

Divergence

Divergence

Green's Theorem for Simply Connected Regions

Green's Theorem for Simply Connected Regions

Fundamental Theorem of Line Integrals

Fundamental Theorem of Line Integrals

Conservative Vector Fields and Potential Functions

Conservative Vector Fields and Potential Functions

Chapter 5, 6 and 7 Exam Review

Chapter 5, 6 and 7 Exam Review

The Method of Undetermined Coefficients or the Method of Annihilators

The Method of Undetermined Coefficients or the Method of Annihilators

Differential Equations- Homogeneous D.E.'s with Constant Coefficients- Theory and examples

Differential Equations- Homogeneous D.E.'s with Constant Coefficients- Theory and examples

Orthogonal Projections

Orthogonal Projections

General Theory of Differential Equations- Relating Linear Algebra to Differential Equations

General Theory of Differential Equations- Relating Linear Algebra to Differential Equations

What is an Annihilator?

What is an Annihilator?

Homogeneous Differential Equations with constant coefficients

Homogeneous Differential Equations with constant coefficients

General Theory of D.E's-Linear Algebra and Differential Equations

General Theory of D.E's-Linear Algebra and Differential Equations

General Theory of Higher Order Differential Equations- Notation

General Theory of Higher Order Differential Equations- Notation

Vector Line Integrals

Vector Line Integrals

Vector Fields

Vector Fields

Scalar Line Integrals

Scalar Line Integrals

Diagonalization

Diagonalization

General Eigentheory

General Eigentheory

Orthogonal Projections

Orthogonal Projections

The Gram Schmidt Process

The Gram Schmidt Process

Calculus 2- Moments and Centers of Mass

Calculus 2- Moments and Centers of Mass

Calculus 3- Centers of Mass and Moments of Inertia

Calculus 3- Centers of Mass and Moments of Inertia

Linear Algebra-The Eigenvector-Eigenvalue Problem

Linear Algebra-The Eigenvector-Eigenvalue Problem

Matrices to Linear Transformations

Matrices to Linear Transformations

Change of variables for double and triple integrals

Change of variables for double and triple integrals

Transforming matrices to linear transformations and vice-versa

Transforming matrices to linear transformations and vice-versa

Triple Integrals in Spherical

Triple Integrals in Spherical

Triple Integrals in Cylindrical

Triple Integrals in Cylindrical

Triple Integrals in Rectangular

Triple Integrals in Rectangular

Double Integrals in Polar

Double Integrals in Polar

The Gram Schmidt Process

The Gram Schmidt Process

Orthogonal Projections

Orthogonal Projections

Orthogonal Sets of Vectors- Theory

Orthogonal Sets of Vectors- Theory

Definition of Inner Product Spaces

Definition of Inner Product Spaces

Applications of Double Integrals

Applications of Double Integrals

Double Integrals over General Regions- Foundations

Double Integrals over General Regions- Foundations

Double Integrals over Rectangle Regions- Practical and Calculation

Double Integrals over Rectangle Regions- Practical and Calculation

Double Integrals over Rectangle Regions-Theoretical Lecture

Double Integrals over Rectangle Regions-Theoretical Lecture

Rowspace, Colspace and Rank-Nullity Theorem Lecture

Rowspace, Colspace and Rank-Nullity Theorem Lecture

Lagrange multipliers

Lagrange multipliers

Maximums and Minimums for functions of several variables

Maximums and Minimums for functions of several variables

The Gradient

The Gradient

Directional Derivatives

Directional Derivatives

The Chain Rule for Multi-Variable Functions

The Chain Rule for Multi-Variable Functions

Differentials of Functions of Several Variables

Differentials of Functions of Several Variables

Differentiability and the Error Function

Differentiability and the Error Function

Tangent Planes and Linear Approximations

Tangent Planes and Linear Approximations

Partial Derivatives for Functions of More than 2 variables

Partial Derivatives for Functions of More than 2 variables

Partial Derivatives of functions in two variables

Partial Derivatives of functions in two variables

Continuity of Functions in Several Variables

Continuity of Functions in Several Variables

Limits of functions in several variables-

Limits of functions in several variables-

Functions of Several Variables

Functions of Several Variables

Determining functions from graphs- functions of several variables

Determining functions from graphs- functions of several variables

Graphing the Boundary of the domain of a function of several variables- Calculus 3

Graphing the Boundary of the domain of a function of several variables- Calculus 3

Velocity, Acceleration and Speed for vector-valued functions

Velocity, Acceleration and Speed for vector-valued functions

Normal and Binormal Vectors

Normal and Binormal Vectors

Curvature

Curvature

Arclength of Space Curves

Arclength of Space Curves

Integration of vector-Valued Functions

Integration of vector-Valued Functions

Derivatives of vector-valued functions

Derivatives of vector-valued functions

Determining if lines in 3-D space are parallel, skew or if they intersect

Determining if lines in 3-D space are parallel, skew or if they intersect

Limits and Continuity for Vector Valued Functions

Limits and Continuity for Vector Valued Functions

Vector Valued Functions and Curves in Space

Vector Valued Functions and Curves in Space

Spherical Coordinates

Spherical Coordinates

Cylindrical Coordinates

Cylindrical Coordinates

Linear and Non-linear differential equations

Linear and Non-linear differential equations

The equation of the plane and the normal vector

The equation of the plane and the normal vector

Calculus 3- Equations of Lines in Space

Calculus 3- Equations of Lines in Space

The Triple Scalar Product and the Volume of a Parallelpiped

The Triple Scalar Product and the Volume of a Parallelpiped

The Cross Product

The Cross Product

Projections and Applications of the dot product

Projections and Applications of the dot product

The Dot Product

The Dot Product

Vectors in 3d

Vectors in 3d

The 3-D Coordinate System

The 3-D Coordinate System

Applications of Vectors in the Cartesian Plane

Applications of Vectors in the Cartesian Plane

Standard Unit Vectors (2.1b)

Standard Unit Vectors (2.1b)

2.1- Vectors in the Cartesian Plane

2.1- Vectors in the Cartesian Plane

Turing Machines

Turing Machines

Finite State Machine Lecture

Finite State Machine Lecture

Functions definitions and examples

Functions definitions and examples

Definitions Proof

Definitions Proof

Set Operations and Sequences of Sets

Set Operations and Sequences of Sets

The basics of sets

The basics of sets

Proving Use of Rules of Inference and Laws of Logic

Proving Use of Rules of Inference and Laws of Logic

Rules of Inference for Existential and Universal Quantifiers

Rules of Inference for Existential and Universal Quantifiers

Logical Reasoning and Rules of Inference

Logical Reasoning and Rules of Inference

Proving Identities using Induction

Proving Identities using Induction

Strong Induction

Strong Induction

Proving divisibility using induction

Proving divisibility using induction

Proving explicit formulas for recurrence relations using induction

Proving explicit formulas for recurrence relations using induction

Proving Inequalities using induction

Proving Inequalities using induction

Introduction to Induction

Introduction to Induction

Shape, Center, Spread, and Outliers

Shape, Center, Spread, and Outliers

Loans

Loans

Cartesian Products

Cartesian Products

Compounding Interest

Compounding Interest

Fundamentals and Simple Interest Lecture

Fundamentals and Simple Interest Lecture

DeMorgan's Laws and Nested Quantifiers

DeMorgan's Laws and Nested Quantifiers

Predicates and Quantifiers

Predicates and Quantifiers

Cartesian Products

Cartesian Products

Set Identities

Set Identities

Partitions

Partitions

Vectors-Vector addition, scalar multiplicationa and linear combinations

Vectors-Vector addition, scalar multiplicationa and linear combinations

Vector spaces and subspaces

Vector spaces and subspaces

Logical Equivalence and DeMorgan's Laws

Logical Equivalence and DeMorgan's Laws

Basics of Symbolic Logic and Truth Tables

Basics of Symbolic Logic and Truth Tables

Partial Fraction Decomposition- Integration

Partial Fraction Decomposition- Integration

Quantitative Research Methods Video Lecture 1- Variables and Questions

Quantitative Research Methods Video Lecture 1- Variables and Questions

RSA Encryption Tutorial

RSA Encryption Tutorial

Prime Factorizations Worksheet

Prime Factorizations Worksheet

Reading Algorithms-Discrete Structures

Reading Algorithms-Discrete Structures

Remaining Loan Balance and Interest paid after a set time

Remaining Loan Balance and Interest paid after a set time

Simplifying Partial Fraction Decomposition

Simplifying Partial Fraction Decomposition

Using Venn Diagrams for Counting

Using Venn Diagrams for Counting

Interval Notation and Sets

Interval Notation and Sets

Introduction to Sets and Set Operations (Basic)

Introduction to Sets and Set Operations (Basic)

Calculus on Polar Coordinates

Calculus on Polar Coordinates

Polar Coordinates

Polar Coordinates

Section 2.5- Work

Section 2.5- Work

Section 2.5- Work Pt. 1

Section 2.5- Work Pt. 1

Derivatives of Power Series- finding function representations

Derivatives of Power Series- finding function representations

Integrals of Power Series- finding function representations

Integrals of Power Series- finding function representations

Taylor and McLaurin Series

Taylor and McLaurin Series

Variation of Parameters for Systems of First Order Differential Equations

Variation of Parameters for Systems of First Order Differential Equations

Vector Systems of Differential Equations

Vector Systems of Differential Equations

First Order Systems of Differential Equations

First Order Systems of Differential Equations

Ratio Test and Root Test

Ratio Test and Root Test

Alternating Series and Absolute Convergence

Alternating Series and Absolute Convergence

Comparison Tests- Series-Calc 2

Comparison Tests- Series-Calc 2

Tests for Convergence

Tests for Convergence

Infinite Series Introduction

Infinite Series Introduction

Finding the area under the arch of a cycloid

Finding the area under the arch of a cycloid

Calculus of Parametric Equations

Calculus of Parametric Equations

The Fundamentals of Parametrization- Calc II

The Fundamentals of Parametrization- Calc II

Calculus 2- Improper Integrals Lecture

Calculus 2- Improper Integrals Lecture

Calculus 2- Numerical Approximation Lecture

Calculus 2- Numerical Approximation Lecture

3.2 Trig Integrals Lecture

3.2 Trig Integrals Lecture

Trigonometric Substitutions

Trigonometric Substitutions

Integration by Parts Lecture

Integration by Parts Lecture

2.2 #15-Discs around an alternate axis

2.2 #15-Discs around an alternate axis

Volumes with Cylindrical Shells problem- about the x-axis

Volumes with Cylindrical Shells problem- about the x-axis

2.3- Volume by Cylindrical Shells

2.3- Volume by Cylindrical Shells

Section 2.2- Volume by Discs or Washers

Section 2.2- Volume by Discs or Washers

Section 2.4b- Surface Area

Section 2.4b- Surface Area

Section 2.4- Arclength

Section 2.4- Arclength

Math 185-Areas Between Curves

Math 185-Areas Between Curves

Math 219 Intersession Welcome Video

Math 219 Intersession Welcome Video

Representing Functions as Power Series

Representing Functions as Power Series

Power Series and Functions

Power Series and Functions

Computation Review

Computation Review

CMPR Functions Review

CMPR Functions Review

CMPR 140- Sets Review 1

CMPR 140- Sets Review 1

Proving Change of Base

Proving Change of Base

#13 Corrected

#13 Corrected

Separation Variables (Calculus)

Separation Variables (Calculus)

Introduction to Differential Equations Calculus

Introduction to Differential Equations Calculus

Finding the Remaining Balance on a Loan

Finding the Remaining Balance on a Loan

Proof by contradiction

Proof by contradiction

Proof by contraposition

Proof by contraposition

Simple Interest Lecture

Simple Interest Lecture

Proof by Cases Video

Proof by Cases Video