Канал: David Covert

Arc Length Example y = 2x+1sinxcosx over 2,2

Arc Length Example y = 2x+1sinxcosx over 2,2

Aug 23 Worksheet, Problem #3

Aug 23 Worksheet, Problem #3

Math 2450 Welcome Video (Fall 2023)

Math 2450 Welcome Video (Fall 2023)

1320 Welcome Video (Fall 2023)

1320 Welcome Video (Fall 2023)

Proportions Examples and R Code reuploaded

Proportions Examples and R Code reuploaded

Population Proportions

Population Proportions

Laplace transforms of power functions

Laplace transforms of power functions

Convolutions

Convolutions

Convolution addendum

Convolution addendum

Table of Laplace Transforms

Table of Laplace Transforms

Laplace Transform of t*ft

Laplace Transform of t*ft

Laplace transform of an exponential times a function

Laplace transform of an exponential times a function

Intro to Laplace Transform

Intro to Laplace Transform

Laplace transform of coskt and sinkt

Laplace transform of coskt and sinkt

Laplace Transform of ft t

Laplace Transform of ft t

Solving tx'' 2x'+tx=0, x0 = 0

Solving tx'' 2x'+tx=0, x0 = 0

Inverse Laplace Transforms

Inverse Laplace Transforms

Transform of Exponentials

Transform of Exponentials

Laplace Transforms of derivatives

Laplace Transforms of derivatives

Solving x'' 6x'+8x=0, x0 = 2, x'0 = 3 Using Laplace Transforms

Solving x'' 6x'+8x=0, x0 = 2, x'0 = 3 Using Laplace Transforms

Existence of Laplace Transforms

Existence of Laplace Transforms

Overview Of Semester

Overview Of Semester

Example x''+4x'+5x=deltat pi+deltat 2pi; x0=0, x'0 = 2

Example x''+4x'+5x=deltat pi+deltat 2pi; x0=0, x'0 = 2

Example x''+9x=1; x0 = 0, x'0 = 0

Example x''+9x=1; x0 = 0, x'0 = 0

Example x'' 4x=3t, x0 = 1, x'0 = 1

Example x'' 4x=3t, x0 = 1, x'0 = 1

Dirac Delta Function

Dirac Delta Function

Example x''+4x=deltat; x0 = 0, x'0 = 1

Example x''+4x=deltat; x0 = 0, x'0 = 1

Example x''+9x=ft; x0 = 0, x'0 = 0 Duhamel's Method

Example x''+9x=ft; x0 = 0, x'0 = 0 Duhamel's Method

Dirac Delta function and impulses

Dirac Delta function and impulses

Heaviside Functions

Heaviside Functions

The relationship between deltat a and ut a

The relationship between deltat a and ut a

Example x''+4x'+13x=0; x0 = 1, x'0 = 1

Example x''+4x'+13x=0; x0 = 1, x'0 = 1

Duhamel's Method

Duhamel's Method

y''+xy'+3y=0

y''+xy'+3y=0

Solving yâ â =xy using power series Airyâ s equation

Solving yâ â =xy using power series Airyâ s equation

Solving y''=y using series

Solving y''=y using series

Weber's Equation y'' = x^2y

Weber's Equation y'' = x^2y

y''+ye^x=0

y''+ye^x=0

Solving 3xy'' + y' y = 0 Using the Frobenius Method

Solving 3xy'' + y' y = 0 Using the Frobenius Method

SingularPoints

SingularPoints

GammaFunction

GammaFunction

Bessel Functions

Bessel Functions

Linear Transformations and Matrices part 3 Reflections and Shear Transformations

Linear Transformations and Matrices part 3 Reflections and Shear Transformations

Linear Transformations and Matrices Part 2 Rotation

Linear Transformations and Matrices Part 2 Rotation

Linear Transformations and Matrices part 1

Linear Transformations and Matrices part 1

Introduction to Linear Transformations part 2 of 2

Introduction to Linear Transformations part 2 of 2

Introduction to Linear Transformations part 1 of 2

Introduction to Linear Transformations part 1 of 2

The Dot Product and Inner Product Spaces

The Dot Product and Inner Product Spaces

Change of Basis Section 4 7

Change of Basis Section 4 7

Transformation Matrices

Transformation Matrices

The Rank Nullity Theorem

The Rank Nullity Theorem

Linear Transformations and Matrices part 4 Degeneracy

Linear Transformations and Matrices part 4 Degeneracy

Linear Transformations part 6 the image

Linear Transformations part 6 the image

Linear Transformations Part 5 The kernel

Linear Transformations Part 5 The kernel

Functions Revisited

Functions Revisited

Similar Matrices

Similar Matrices

Orthogonal Diagonalization

Orthogonal Diagonalization

Diagonalization 6 Examples

Diagonalization 6 Examples

Diagonalization Introduction

Diagonalization Introduction

Example Computing Eigenvalues of 3,2,1|0,4,1|,0,0,4

Example Computing Eigenvalues of 3,2,1|0,4,1|,0,0,4

Example Computing Eigenvalues and Eigenspaces of 4,3,1|5,2,5|0,0,2

Example Computing Eigenvalues and Eigenspaces of 4,3,1|5,2,5|0,0,2

Example Eigenvalues and Eigenspaces of a 3x3 matrix 0,0, 2|1,2,1|1,0,3

Example Eigenvalues and Eigenspaces of a 3x3 matrix 0,0, 2|1,2,1|1,0,3

Example Repeated eigenvalues; 6, 9| 1, 0

Example Repeated eigenvalues; 6, 9| 1, 0

Computing Eigenvalue of 2x2 matrices

Computing Eigenvalue of 2x2 matrices

Example Finding Eigenvalues and Eigenspace of 2, 5 | 1 , 2

Example Finding Eigenvalues and Eigenspace of 2, 5 | 1 , 2

Eigenvalues Introduction

Eigenvalues Introduction

Examples of Vector Isomorphism

Examples of Vector Isomorphism

One to One and Onto Linear Transformation

One to One and Onto Linear Transformation

Finding Data with prescribed statistics

Finding Data with prescribed statistics

Finding p values Worksheet part 1

Finding p values Worksheet part 1

Hypothesis Testing using the t test worksheet part 3

Hypothesis Testing using the t test worksheet part 3

Introduction to Hypothesis Testing

Introduction to Hypothesis Testing

Using R to run Chi Square Tests

Using R to run Chi Square Tests

Ch10 Examples

Ch10 Examples

t test function in R

t test function in R

Hypothesis Testing using the z test worksheet part 2

Hypothesis Testing using the z test worksheet part 2

Ch10 Overview

Ch10 Overview

Ch 16) ANOVA

Ch 16) ANOVA

Ch. 14) Linear Regression and Correlations

Ch. 14) Linear Regression and Correlations

Math 2450 - Homework 7.2 # 6

Math 2450 - Homework 7.2 # 6

Math 2450: Quiz 2, Problem # 6

Math 2450: Quiz 2, Problem # 6

Dedekind Cuts (A not-so-short addendum)

Dedekind Cuts (A not-so-short addendum)

Dedekind Cuts (Math 4100 Class for 1/25)

Dedekind Cuts (Math 4100 Class for 1/25)

Using Excel to easily convert text (ARRAYTOTEXT function)

Using Excel to easily convert text (ARRAYTOTEXT function)

Math2450IntroVideoS23

Math2450IntroVideoS23

StatsIntroEbookS23

StatsIntroEbookS23

StatsIntroVideoSpring23

StatsIntroVideoSpring23

Problem 10.4. # 5

Problem 10.4. # 5

Integral Worksheet Solutions

Integral Worksheet Solutions

Trig Substitution Examples

Trig Substitution Examples

Math 1320 Welcome Video (Fall 2022)

Math 1320 Welcome Video (Fall 2022)

Arc Length Example: y = 2(x+1)sin(x)cos(x) over [-2,2]

Arc Length Example: y = 2(x+1)sin(x)cos(x) over [-2,2]

R and Chapter 6 (Examples)

R and Chapter 6 (Examples)

R and Chapter 5 (Examples)

R and Chapter 5 (Examples)

R - An Introduction

R - An Introduction

R and Chapter 16 (ANOVA)

R and Chapter 16 (ANOVA)

R and Chapter 14 (Linear Regressions Models)

R and Chapter 14 (Linear Regressions Models)

R and Chapter 9 (Hypothesis Testing with One Population)

R and Chapter 9 (Hypothesis Testing with One Population)

R and Chapter 13 (Chi-Square DIstribution)

R and Chapter 13 (Chi-Square DIstribution)

R and Chapter 10 (Hypothesis Testing with Two Populations)

R and Chapter 10 (Hypothesis Testing with Two Populations)

R and Chapter 6 (Normal Distribution)

R and Chapter 6 (Normal Distribution)

R and Chapter 5 (Binomial Distribution and Discrete Random Variables)

R and Chapter 5 (Binomial Distribution and Discrete Random Variables)

R and Chapter 3 (Mean, Median, and Mode)

R and Chapter 3 (Mean, Median, and Mode)

Chapter 5, Part 6: Least Squares Approximation

Chapter 5, Part 6: Least Squares Approximation

Chapter 5, Part 5: Gram-Schmidt for General Inner Product Spaces

Chapter 5, Part 5: Gram-Schmidt for General Inner Product Spaces

Chapter 5, Part 4: Inner Product Spaces

Chapter 5, Part 4: Inner Product Spaces

Chapter 5, part 2: Gram-Schmidt Process

Chapter 5, part 2: Gram-Schmidt Process

Chapter 5, Part 1: Dot Product

Chapter 5, Part 1: Dot Product

Chapter 5, Part 3: Orthogonal Complements

Chapter 5, Part 3: Orthogonal Complements

Math 3250 - Feb 24 Lecture (Spring 2022)

Math 3250 - Feb 24 Lecture (Spring 2022)

Math 2450 - Syllabus and Introduction Video (Spring 2022)

Math 2450 - Syllabus and Introduction Video (Spring 2022)

Math 1320 - Syllabus and Introduction Video (Spring 2022)

Math 1320 - Syllabus and Introduction Video (Spring 2022)

11.10: Taylor Series (with fixed audio)

11.10: Taylor Series (with fixed audio)

11.10: Taylor Series (Part 1)

11.10: Taylor Series (Part 1)

11.10: Taylor Series (part 3)

11.10: Taylor Series (part 3)

11.10: Taylor series (Part 2)

11.10: Taylor series (Part 2)

Math 1900: Section 11.8 (Intro to Power Series)

Math 1900: Section 11.8 (Intro to Power Series)

Math 1900: Section 11.9 (Part 1)

Math 1900: Section 11.9 (Part 1)

Math 1900: Section 11.9 (part 2)

Math 1900: Section 11.9 (part 2)

Section 11.7: Strategy for Series

Section 11.7: Strategy for Series

Section 11.6: Absolute Convergence and Conditional Convergence

Section 11.6: Absolute Convergence and Conditional Convergence

Section 11.6: Ratio and Root Tests (Part 1)

Section 11.6: Ratio and Root Tests (Part 1)

Section 11.6: Ratio and Root Tests (Part 2)

Section 11.6: Ratio and Root Tests (Part 2)

11.4: Comparison Tests (Part 2)

11.4: Comparison Tests (Part 2)

11.4: Comparison Tests (part 1)

11.4: Comparison Tests (part 1)

Section 11.5: Alternating Series Test

Section 11.5: Alternating Series Test

Section 11.3: Integral Test (Part 2)

Section 11.3: Integral Test (Part 2)

Section 11.3: Integral Test (Part 1)

Section 11.3: Integral Test (Part 1)

11.2: Telescoping Series

11.2: Telescoping Series

11.2: Harmonic Series (part 2)

11.2: Harmonic Series (part 2)

11.2: Introduction to Series

11.2: Introduction to Series

11.2: Harmonic Series (part 1)

11.2: Harmonic Series (part 1)

11.2: Geometric Series

11.2: Geometric Series

Section 11.1 (part 1)

Section 11.1 (part 1)

Section 11.1 (part 2)

Section 11.1 (part 2)

Conics in Polar Coordinates

Conics in Polar Coordinates

Math 1900: Conics Part 2

Math 1900: Conics Part 2

Math 1900: Shifted Conics

Math 1900: Shifted Conics

Math 1900: Conics Part 1

Math 1900: Conics Part 1

Arc length in polar (and derivatives too) - part 1

Arc length in polar (and derivatives too) - part 1

Arc length in polar (and derivatives too) - part 2

Arc length in polar (and derivatives too) - part 2

Math 1900: Sections 10.3/10.4 (Polar Coordinates)

Math 1900: Sections 10.3/10.4 (Polar Coordinates)

Math 1900: Section 10.1/10.2 (Parametric Equations)

Math 1900: Section 10.1/10.2 (Parametric Equations)

Math 1900: Section 8.2

Math 1900: Section 8.2

Math 1900: Section 8.1

Math 1900: Section 8.1

Section 7.8: Improper Integrals

Section 7.8: Improper Integrals

Section 7.7: Numerical Methonds

Section 7.7: Numerical Methonds

Section 7.4: Partial Fraction Decomposition Examples

Section 7.4: Partial Fraction Decomposition Examples

7.4: Partial Fraction Decomposition Introduction

7.4: Partial Fraction Decomposition Introduction

Trig Substitution (Part 4 of 4)

Trig Substitution (Part 4 of 4)

Trig Substitution (Part 3 of 4)

Trig Substitution (Part 3 of 4)

Trig Substitution (Part 2 of 4)

Trig Substitution (Part 2 of 4)

Trig Substitution (Part 1 of 4)

Trig Substitution (Part 1 of 4)

Math 1900, Section 7.1: Integration by Parts (part 2)

Math 1900, Section 7.1: Integration by Parts (part 2)

Math 1900, Section 7.1: Integration by Parts (part 1)

Math 1900, Section 7.1: Integration by Parts (part 1)

Math 1900: Section 6.8 (L'Hôpital's Rule)

Math 1900: Section 6.8 (L'Hôpital's Rule)

Math 1900 - Section 6.7: hyperbolic Trigonometric Functions

Math 1900 - Section 6.7: hyperbolic Trigonometric Functions

Math 1900 - Section 6.6: Inverse Trig Functions

Math 1900 - Section 6.6: Inverse Trig Functions

Math 1900: Section 9.3

Math 1900: Section 9.3

Section 6.4 overview

Section 6.4 overview

Domains of logarithms (Section 6.3)

Domains of logarithms (Section 6.3)

Math 2020 - Syllabus and Canvas Overview (Fall 2021)

Math 2020 - Syllabus and Canvas Overview (Fall 2021)

2020WelcomeVideo

2020WelcomeVideo

Math 1900 (Section 6 3)

Math 1900 (Section 6 3)

Math 1900 (Section 6 2)

Math 1900 (Section 6 2)

Welcome Video (Math 1900 - Fall 2021)

Welcome Video (Math 1900 - Fall 2021)

Section 6.1: Inverse Functions (Continued)

Section 6.1: Inverse Functions (Continued)

Section 6.1: Inverse Functions (Introduction)

Section 6.1: Inverse Functions (Introduction)

Math 1320- Welcome Video (F21)

Math 1320- Welcome Video (F21)

Definite Integral Example 2: integrating sin(x)/x from 0 to infinity

Definite Integral Example 2: integrating sin(x)/x from 0 to infinity

Finding Residues (Examples)

Finding Residues (Examples)

Methods of Finding Residues

Methods of Finding Residues

Using The Residue Theorem to compute real integrals

Using The Residue Theorem to compute real integrals

The Residue Theorem (without proof)

The Residue Theorem (without proof)

Residue Theorem Example 2 (Plus one more method for computing residues of certain double poles)

Residue Theorem Example 2 (Plus one more method for computing residues of certain double poles)

Residue Theorem Integral (Example 1)

Residue Theorem Integral (Example 1)

Integrals with Residues (Introduction)

Integrals with Residues (Introduction)

Zeroes And Singularities

Zeroes And Singularities

Singularities Proposition

Singularities Proposition

Singularities Examples

Singularities Examples

Isolated Singularities (Introduction)

Isolated Singularities (Introduction)

Zeroes of Functions (using Taylor Series)

Zeroes of Functions (using Taylor Series)

Laurent Expansion Example: f(z) = 1/(z(z-1))

Laurent Expansion Example: f(z) = 1/(z(z-1))

Laurent Series (Overview)

Laurent Series (Overview)

Laurent Expansion Theorem

Laurent Expansion Theorem

Taylor's Expansion Theorem

Taylor's Expansion Theorem

Holomorphic=Analytic

Holomorphic=Analytic

Taylor Series Examples (and Products of Taylor Series)

Taylor Series Examples (and Products of Taylor Series)

Newton's (Complex) Binomial Theorem

Newton's (Complex) Binomial Theorem

Taylor Series are Holorphic (Proof, continued)

Taylor Series are Holorphic (Proof, continued)

Equal convergents implies equal series (A Taylor Series Corollary)

Equal convergents implies equal series (A Taylor Series Corollary)

Power Series Are Holomorphic (Taylor Series Introduction)

Power Series Are Holomorphic (Taylor Series Introduction)

Examples with Root/Ratio Tests and a Final Corollary

Examples with Root/Ratio Tests and a Final Corollary

Root and Ratio Test

Root and Ratio Test

Power Series Introduction

Power Series Introduction

Uniform and Pointwise Convergence of Series

Uniform and Pointwise Convergence of Series

Uniform Convergence and Integrals

Uniform Convergence and Integrals

Uniform Convergence of Continuous Functions is Continuous

Uniform Convergence of Continuous Functions is Continuous

Uniform Convergence vs Pointwise Convergence

Uniform Convergence vs Pointwise Convergence

Integral Test (Part 1)

Integral Test (Part 1)