Канал: Andrew Owens

Partial Fraction Decomposition

Partial Fraction Decomposition

Partial Fraction Decomposition examples

Partial Fraction Decomposition examples

Linear Independence: Part 3

Linear Independence: Part 3

Linear Independence: part 2

Linear Independence: part 2

Integrating Line Integrals with respect to x, y, and z.

Integrating Line Integrals with respect to x, y, and z.

The Fundamental Theorem for Line Integrals

The Fundamental Theorem for Line Integrals

Independence of Path

Independence of Path

An example for determining if F is a conservative vector field

An example for determining if F is a conservative vector field

How to determine if F is a conservative vector field

How to determine if F is a conservative vector field

Example for a line integral over a vector field

Example for a line integral over a vector field

MacLaurin series for sin(x) and cos(x), and a Taylor series for 1/x.

MacLaurin series for sin(x) and cos(x), and a Taylor series for 1/x.

Two examples of MacLaurin series

Two examples of MacLaurin series

Power Series as Representations

Power Series as Representations

Taylor and MacLaurin Series

Taylor and MacLaurin Series

Autonomous Equations Example 2

Autonomous Equations Example 2

Autonomous Equations Example 1

Autonomous Equations Example 1

Introduction to Autonomous Equations

Introduction to Autonomous Equations

Introduction to Differential Equations-part 3: Linearity and Direction Fields

Introduction to Differential Equations-part 3: Linearity and Direction Fields

Introduction for Differential Equations- part 2: Examples of solving differential equations

Introduction for Differential Equations- part 2: Examples of solving differential equations

Introduction to Differential Equations-Part 1

Introduction to Differential Equations-Part 1

Examples using the substitution rule

Examples using the substitution rule

Indefinite integrals and the substitution method.

Indefinite integrals and the substitution method.

The Fundamental Theorem of Calculus Part 1

The Fundamental Theorem of Calculus Part 1

The fundamental theorem of calculus part 2

The fundamental theorem of calculus part 2

Examples using the FTC part 1

Examples using the FTC part 1

Properties of the definite integral

Properties of the definite integral

The definite integral

The definite integral

Sigma notation

Sigma notation

Algebra rules for finite sums

Algebra rules for finite sums

Estimating the area under the curve

Estimating the area under the curve

Initial Value Problems

Initial Value Problems

Distance traveled: The relationship between antiderivatives and the area under the curve.

Distance traveled: The relationship between antiderivatives and the area under the curve.

The indefinite integral

The indefinite integral

Antiderivatives

Antiderivatives

Curve sketching extra example-1

Curve sketching extra example-1

Curve sketching extra example-2

Curve sketching extra example-2

Optimization example 3

Optimization example 3

Optimization example 1

Optimization example 1

Optimization example 2

Optimization example 2

Curve Sketching

Curve Sketching

Concavity

Concavity

Increasing and Decreasing Functions

Increasing and Decreasing Functions

The first derivative test for local extrema

The first derivative test for local extrema

Finding Maximums and Minimums

Finding Maximums and Minimums

Rolle's Theorem

Rolle's Theorem

The Mean Value Theorem

The Mean Value Theorem

Maximums and Minimums

Maximums and Minimums

Differentials

Differentials

Linearization

Linearization

Poisson Distribution

Poisson Distribution

The probability distribution of a discrete variable

The probability distribution of a discrete variable

The Binomial Distribution

The Binomial Distribution

Statistics on a binomial distribution

Statistics on a binomial distribution

Related Rates part 1

Related Rates part 1

Related Rates part 2

Related Rates part 2

Implicit Differentiation examples

Implicit Differentiation examples

Implicit Differentiation

Implicit Differentiation

Implicit Functions

Implicit Functions

Counting Rules

Counting Rules

Permutations and Combinations

Permutations and Combinations

Bayes Theorem

Bayes Theorem

The Chain Rule

The Chain Rule

Derivatives of trigonometric functions

Derivatives of trigonometric functions

Independence and the general multiplication rule

Independence and the general multiplication rule

Conditional probability

Conditional probability

Basic probability concepts

Basic probability concepts

Marginal probability and the general addition rule for probabilities

Marginal probability and the general addition rule for probabilities

The derivative as a rate of change

The derivative as a rate of change

Higher order derivatives

Higher order derivatives

Basic differentiation rules

Basic differentiation rules

The product and quotient rule for derivatives

The product and quotient rule for derivatives

The covariance and the coefficient of correlation

The covariance and the coefficient of correlation

The derivative of a function

The derivative of a function

Tangents and the derivative at a point

Tangents and the derivative at a point

Vertical tangent lines

Vertical tangent lines

When is a function differentiable?

When is a function differentiable?

Quartiles, the five number summary, and the boxplot

Quartiles, the five number summary, and the boxplot

The empirical rule and Chebyshev's theorem

The empirical rule and Chebyshev's theorem

Population parameters

Population parameters

Examples of solving limits at infinity

Examples of solving limits at infinity

Horizontal Asymptotes; limits at infinity

Horizontal Asymptotes; limits at infinity

Vertical Asymptotes of graphs.

Vertical Asymptotes of graphs.

Measures of variation

Measures of variation

The coefficient of variation and z-scores

The coefficient of variation and z-scores

Measures of Central Tendency

Measures of Central Tendency

Geometric Mean

Geometric Mean

Continuity

Continuity

More on continuity and the Intermediate Value Theorem

More on continuity and the Intermediate Value Theorem

One-sided limits

One-sided limits

The precise definition of a limit

The precise definition of a limit

A proof using the precise definition of a limit

A proof using the precise definition of a limit

Finding the limit of a function using analytic methods

Finding the limit of a function using analytic methods

Squeeze Theorem

Squeeze Theorem

The limit of a function

The limit of a function

Rate of Change and the Tangent to a Curve

Rate of Change and the Tangent to a Curve

The domain of a function

The domain of a function

Review of trigonometric functions

Review of trigonometric functions

Review of piecewise functions

Review of piecewise functions

Review of piecewise functions

Review of piecewise functions

Higher order nonhomogeneous equations

Higher order nonhomogeneous equations

The Wronskian

The Wronskian

Higher Order linear equations and homogeneous equations

Higher Order linear equations and homogeneous equations

Examples of determining equations for tangent planes

Examples of determining equations for tangent planes

Tangent planes and the gradient vector

Tangent planes and the gradient vector

Autonomous equations

Autonomous equations

Directional Derivatives

Directional Derivatives

Maximizing directional derivatives

Maximizing directional derivatives

Existence and Uniqueness

Existence and Uniqueness

Chain Rule for Partial Derivatives

Chain Rule for Partial Derivatives

Chain Rule for Partial Derivatives: Implicit Differentiation

Chain Rule for Partial Derivatives: Implicit Differentiation

Second Order Partial Derivatives

Second Order Partial Derivatives

First Order Partial Derivatives

First Order Partial Derivatives

Exact Differential Equation Model-The Wave Equation

Exact Differential Equation Model-The Wave Equation

The domain of a function of several variables

The domain of a function of several variables

Sketching level curves and surfaces

Sketching level curves and surfaces

Exact Differential Equations: Using an Integrating Factor

Exact Differential Equations: Using an Integrating Factor

Exact Differential Equations

Exact Differential Equations

Arc Length

Arc Length

Derivatives and integrals of vector valued functions

Derivatives and integrals of vector valued functions

Mixing Problems (Differential Equations)

Mixing Problems (Differential Equations)

Sketching vector valued functions

Sketching vector valued functions

Solve differential equations of a certain form: Separable *homogeneous functions.

Solve differential equations of a certain form: Separable *homogeneous functions.

Solve differential equations of a specific form: Bernoulli's Equations

Solve differential equations of a specific form: Bernoulli's Equations

Distance between a point and lines or planes

Distance between a point and lines or planes

Planes in 3-space: Part 2

Planes in 3-space: Part 2

Planes in 3-space: Part 1

Planes in 3-space: Part 1

Equations of lines in space

Equations of lines in space

Differential Equation: Application Examples using method of integrating factor and separabilty

Differential Equation: Application Examples using method of integrating factor and separabilty

Separable Equations- More Examples

Separable Equations- More Examples

Separable Equations- Introduction

Separable Equations- Introduction

Separable Equations- Why it works

Separable Equations- Why it works

Using the cross product

Using the cross product

Cross Product- Introduction

Cross Product- Introduction

The Dot Product: Projections

The Dot Product: Projections

The Dot Product: Introduction

The Dot Product: Introduction

Vectors

Vectors

Deriving the method of integrating factors

Deriving the method of integrating factors

Solving first order linear ordinary differential equations-part 2 (method of integrating factors)

Solving first order linear ordinary differential equations-part 2 (method of integrating factors)

Solving a differential equation using Newton's Law of Cooling.

Solving a differential equation using Newton's Law of Cooling.

2.3-Examples of solving linear first order ordinary differential equations-Part 1

2.3-Examples of solving linear first order ordinary differential equations-Part 1

DiffEqIntroduction Part2

DiffEqIntroduction Part2

Three dimensional coordinate systems-part 2

Three dimensional coordinate systems-part 2

Introduction-Part 1

Introduction-Part 1

Three dimensional coordinate system-part 1

Three dimensional coordinate system-part 1

Determining Sample Size

Determining Sample Size

Confidence Interval Estimate for the Proportion

Confidence Interval Estimate for the Proportion

Confidence Interval Estimate of the Mean (SD unknown)

Confidence Interval Estimate of the Mean (SD unknown)

Confidence Interval Estimate for the Mean (SD known)

Confidence Interval Estimate for the Mean (SD known)

Trigonometric Equations-Part 2

Trigonometric Equations-Part 2

Trigonometric Equations- Part 1

Trigonometric Equations- Part 1

Cosine of the sum and difference of two angles.

Cosine of the sum and difference of two angles.

Sampling Distribution of the Proportion

Sampling Distribution of the Proportion

Examples for Sampling Distribution of the Mean

Examples for Sampling Distribution of the Mean

Sampling Distribution of the Mean

Sampling Distribution of the Mean

The Exponential Distribution

The Exponential Distribution

The Uniform Distribution

The Uniform Distribution

Evaluating Normality

Evaluating Normality

Evaluating Normality-Part 1

Evaluating Normality-Part 1

Normal distribution examples

Normal distribution examples

Normal distribution part 1

Normal distribution part 1

Trigonometric functions of any angles; reference angles

Trigonometric functions of any angles; reference angles

Right Triangle Trigonometry

Right Triangle Trigonometry

Pythagorean Identities and the Period of Trig Functions

Pythagorean Identities and the Period of Trig Functions

Trigonometric Functions

Trigonometric Functions

Coterminal Angles and Length of a Circular Arc

Coterminal Angles and Length of a Circular Arc

Angles and Radian Measure

Angles and Radian Measure

Polynomial and Rational Inequalities

Polynomial and Rational Inequalities

Hypergeometric distributions

Hypergeometric distributions

Covariance of a probability distribution and portfolio risk

Covariance of a probability distribution and portfolio risk

Zeros of Polynomial Functions

Zeros of Polynomial Functions

Differential Equations- Section 3.5- Part 2

Differential Equations- Section 3.5- Part 2

Differential Equations-Section 3.5-Part 1

Differential Equations-Section 3.5-Part 1

Differential Equations-Section 3.3

Differential Equations-Section 3.3

Section 9.2

Section 9.2

Section 9.1

Section 9.1

Section 8.3-Part 1

Section 8.3-Part 1

Section 8.3-Part 2

Section 8.3-Part 2

Section 8.1

Section 8.1

Section 1.6

Section 1.6

Section 8.2

Section 8.2

Section 7.4

Section 7.4

Section 7.5

Section 7.5

Section 7.2

Section 7.2

Section 7.3

Section 7.3

Section 7.1

Section 7.1

Section 6.4

Section 6.4

Section 6.3

Section 6.3

Section 6.5

Section 6.5

Section 6.2

Section 6.2

Section 6.6

Section 6.6

Section 6.1

Section 6.1

Section 5.4

Section 5.4

Section 5.3

Section 5.3

Section 4.6

Section 4.6

Section 4.5-part 2

Section 4.5-part 2

Section 4.1

Section 4.1

Section 4.2

Section 4.2

Section 4.3

Section 4.3

Section 4.4

Section 4.4

Section 4.5

Section 4.5