Канал: The Math Professors

Can you believe this infinite sum is 2? Wow!

Can you believe this infinite sum is 2? Wow!

Newtons Method

Newtons Method

Quickly calculate a 20% tip

Quickly calculate a 20% tip

Flux across a smooth simple closed curve

Flux across a smooth simple closed curve

Why cant we divide by zero?

Why cant we divide by zero?

Factor ANY Quadratic Function!

Factor ANY Quadratic Function!

So, You're Taking an Online Math Course...

So, You're Taking an Online Math Course...

How to Read an Advanced Math Text

How to Read an Advanced Math Text

Vector Fields and Work Done over a smooth curve

Vector Fields and Work Done over a smooth curve

Topology: Compactness

Topology: Compactness

Line Integrals (part 2)

Line Integrals (part 2)

Line Integrals

Line Integrals

Topology: Hausdorff Spaces

Topology: Hausdorff Spaces

Where does the r come from? Jacobian of the Cartesian to Polar Conversion Substitution

Where does the r come from? Jacobian of the Cartesian to Polar Conversion Substitution

The Line Through Two Points

The Line Through Two Points

How to Prepare for a Math Exam

How to Prepare for a Math Exam

Multiple Substitution and the Jacobian

Multiple Substitution and the Jacobian

Integrate using u-substitution and logarithmic differentiation

Integrate using u-substitution and logarithmic differentiation

Representing Plane Regions with Polar Coordinates

Representing Plane Regions with Polar Coordinates

A Weird Integration Technique: The Area Under the Bell Curve

A Weird Integration Technique: The Area Under the Bell Curve

The Square Root Property

The Square Root Property

Determine a z-score of a given percentile

Determine a z-score of a given percentile

How to Add Fractions

How to Add Fractions

Topology: Homeomorphisms

Topology: Homeomorphisms

Gabriel's Horn: An interesting result

Gabriel's Horn: An interesting result

Textbook Review: Calculus, A Rigorous Yet Student-Friendly Approach, Second Edition

Textbook Review: Calculus, A Rigorous Yet Student-Friendly Approach, Second Edition

Connected Topological Spaces

Connected Topological Spaces

Using a double integral to find a plane area

Using a double integral to find a plane area

Applications of Normal Distributions

Applications of Normal Distributions

How to use a z-score table

How to use a z-score table

How to Solve Absolute Value Inequalities

How to Solve Absolute Value Inequalities

U-Substitution for Double Integrals

U-Substitution for Double Integrals

Other Trig Substitutions and proving the integral of 1/(1+x^2) equals tangent inverse of x plus C.

Other Trig Substitutions and proving the integral of 1/(1+x^2) equals tangent inverse of x plus C.

Quickly Calculate the Tip!

Quickly Calculate the Tip!

Everyone's Favorite Integration Technique: Trigonometric Substitution

Everyone's Favorite Integration Technique: Trigonometric Substitution

Probability Distribution: Is this value significant?

Probability Distribution: Is this value significant?

Topology: The Boundary of a Set

Topology: The Boundary of a Set

Binomial Distribution. Lets really understand the binomial probability formula!

Binomial Distribution. Lets really understand the binomial probability formula!

Mean, Variance, and Standard Deviation of a Binomial Distribution

Mean, Variance, and Standard Deviation of a Binomial Distribution

Properties of the Closure of a Set

Properties of the Closure of a Set

Mean, Variance, and Standard Deviation of a Discrete Probability Distribution

Mean, Variance, and Standard Deviation of a Discrete Probability Distribution

Discrete Probability Distributions

Discrete Probability Distributions

Topology: The Closure of a Set

Topology: The Closure of a Set

How Much Can You Lift? The Rep Factor.

How Much Can You Lift? The Rep Factor.

Double and Iterated Integrals. Fubini's Theorem over Rectangular Region.

Double and Iterated Integrals. Fubini's Theorem over Rectangular Region.

Basic Integration Techniques (Algebraic Manipulation)

Basic Integration Techniques (Algebraic Manipulation)

Products of Powers of Sine and Cosine Function

Products of Powers of Sine and Cosine Function

Optimization! This is why you should take the entire calculus sequence.

Optimization! This is why you should take the entire calculus sequence.

Lagrange Multipliers: Finding the maximum and minimum values of a function on a constraint

Lagrange Multipliers: Finding the maximum and minimum values of a function on a constraint

Topology: The Interior of a Set

Topology: The Interior of a Set

Volumes of Revolution using Cylindrical Shells

Volumes of Revolution using Cylindrical Shells

Swing Speed and the Quest to Hit a Golf Ball 300 Yards

Swing Speed and the Quest to Hit a Golf Ball 300 Yards

How to Solve Absolute Value Equations

How to Solve Absolute Value Equations

The Subspace Topology

The Subspace Topology

Hyperbolic Functions

Hyperbolic Functions

How to Graph a Vector Function

How to Graph a Vector Function

Directional Derivatives and the Gradient Vector

Directional Derivatives and the Gradient Vector

Continuous Functions Between Topological Spaces

Continuous Functions Between Topological Spaces

Finding Tangent Lines and Tangent Planes using Gradients

Finding Tangent Lines and Tangent Planes using Gradients

Euler's Formula

Euler's Formula

Lengths of Polar Curves

Lengths of Polar Curves

What is a Topological Space?

What is a Topological Space?

Volumes of Revolution using the Disk/Washer Method

Volumes of Revolution using the Disk/Washer Method

Areas of Polar Coordinate Equations or Polar Curves

Areas of Polar Coordinate Equations or Polar Curves

The Conjugate of a Cube Root

The Conjugate of a Cube Root

Slope of Polar Coordinate Equations

Slope of Polar Coordinate Equations

Graphing Polar Coordinate Equations

Graphing Polar Coordinate Equations

What is the Value of 0.999...

What is the Value of 0.999...

Planes in Space

Planes in Space

Finding the Domain and Range from a Graph

Finding the Domain and Range from a Graph

The Cauchy Condensation Test - Proof

The Cauchy Condensation Test - Proof

How to Study Mathematics

How to Study Mathematics

A real world interpretation of derivatives.

A real world interpretation of derivatives.

The Cauchy Condensation Test

The Cauchy Condensation Test

Transformations of Piecewise Functions: Vertical Shifts

Transformations of Piecewise Functions: Vertical Shifts

Transformations of Piecewise Functions: Horizontal Shifts

Transformations of Piecewise Functions: Horizontal Shifts

Separable Differential Equations

Separable Differential Equations

Perpendicular Lines and the Relationship Between Their Slopes

Perpendicular Lines and the Relationship Between Their Slopes

Solving First Order Linear Differential Equations Using a Laplace Transform

Solving First Order Linear Differential Equations Using a Laplace Transform

The nth Derivative Test

The nth Derivative Test

Solving Systems of Linear Equations Using The Addition Method

Solving Systems of Linear Equations Using The Addition Method

Volume: The Shell Method: Rotation About The y-axis

Volume: The Shell Method: Rotation About The y-axis

Set builder notation and interval notation. Solving simple linear inequalities.

Set builder notation and interval notation. Solving simple linear inequalities.

A Complete Overview of Limits

A Complete Overview of Limits

Mean Value Theorem

Mean Value Theorem

Second derivative test, concavity, and curve sketching part 1

Second derivative test, concavity, and curve sketching part 1

The Fundamental Theorem of Calculus

The Fundamental Theorem of Calculus

Derivatives using substitution

Derivatives using substitution

Applied optimization

Applied optimization

Definite Integral

Definite Integral

Antiderivatives

Antiderivatives

Extrema Value Theorem

Extrema Value Theorem

Sigma notation, limits of finite sums, and Reimann Sums

Sigma notation, limits of finite sums, and Reimann Sums

Estimating areas with finite sums; Upper and Lower Sums

Estimating areas with finite sums; Upper and Lower Sums

Second derivative test, concavity, and curve sketching part 2

Second derivative test, concavity, and curve sketching part 2

Monotonic functions and first derivative test

Monotonic functions and first derivative test

Indeterminant forms and L'Hopital's rule

Indeterminant forms and L'Hopital's rule

Extreme Value Theorem part 2

Extreme Value Theorem part 2

Related Rates

Related Rates

Derivative of an inverse and logarithms

Derivative of an inverse and logarithms

Inverse trigonometric functions and their derivatives

Inverse trigonometric functions and their derivatives

Derivative as a rate of change; Position, Velocity, and Acceleration

Derivative as a rate of change; Position, Velocity, and Acceleration

The Chain Rule

The Chain Rule

Logarithmic Differentiation and Derivatives of exponentials and logarithms functions with any base.

Logarithmic Differentiation and Derivatives of exponentials and logarithms functions with any base.

Derivative of trigonometric functions

Derivative of trigonometric functions

Differentiation rules; Power, Product and Quotient rules

Differentiation rules; Power, Product and Quotient rules

Example problems of implicit differentiation part 1

Example problems of implicit differentiation part 1

Example problems of implicit differentiation part 2

Example problems of implicit differentiation part 2

Differentiation rules part 2

Differentiation rules part 2

Tangent lines and derivatives at a point examples problems

Tangent lines and derivatives at a point examples problems

Derivative of a function using the limit of the difference quotient; part 1

Derivative of a function using the limit of the difference quotient; part 1

Derivative of a function; part 2

Derivative of a function; part 2

Continuity of a Function example problems

Continuity of a Function example problems

One Sided Limits example problems

One Sided Limits example problems

Precise Definition of Limit; Epsilon Delta

Precise Definition of Limit; Epsilon Delta

Determine Limits graphically and algebraically extra example problems

Determine Limits graphically and algebraically extra example problems

Intro to Rates of Change example problems

Intro to Rates of Change example problems

Vector Multiplication: The Dot Product

Vector Multiplication: The Dot Product

The Limit Definition of the Natural Base

The Limit Definition of the Natural Base

The Mean Value Theorem

The Mean Value Theorem

The Mean Value Theorem for Integrals

The Mean Value Theorem for Integrals

The Integral of a Power Series

The Integral of a Power Series

The Derivative of a Power Series

The Derivative of a Power Series

Type 1 Improper Integrals

Type 1 Improper Integrals

Riemann's Rearrangement Theorem

Riemann's Rearrangement Theorem

Integration by Partial Fractions, Part 3

Integration by Partial Fractions, Part 3

Hypothesis Test Proportion part 1

Hypothesis Test Proportion part 1

Hypothesis Test Standard Deviation and Variance

Hypothesis Test Standard Deviation and Variance

Confidence Interval for Proportion

Confidence Interval for Proportion

Hypothesis Test Proportion part 2

Hypothesis Test Proportion part 2

Hypothesis Test Proportion part 1

Hypothesis Test Proportion part 1

Theory of Hypothesis Testing

Theory of Hypothesis Testing

Confidence Interval Standard Deviation and Variance part 1

Confidence Interval Standard Deviation and Variance part 1

Hypothesis Test Standard Deviation and Variance

Hypothesis Test Standard Deviation and Variance

Hypothesis Test Mean

Hypothesis Test Mean

Confidence Interval for Proportion

Confidence Interval for Proportion

Confidence Interval Standard Deviation and Variance part 2

Confidence Interval Standard Deviation and Variance part 2

Confidence Interval for Mean

Confidence Interval for Mean

Central Limit Theorem

Central Limit Theorem

Applications of normal distributions

Applications of normal distributions

Hypothesis Test Proportion part 2

Hypothesis Test Proportion part 2

Confidence Interval for Proportion

Confidence Interval for Proportion

Hypothesis Test Proportion part 1

Hypothesis Test Proportion part 1

Hypothesis Test Mean

Hypothesis Test Mean

Confidence Interval Standard Deviation and Variance part 1

Confidence Interval Standard Deviation and Variance part 1

Confidence Interval Standard Deviation and Variance part 2

Confidence Interval Standard Deviation and Variance part 2

Confidence Interval for Mean

Confidence Interval for Mean

Central Limit Theorem

Central Limit Theorem

Applications of normal distributions

Applications of normal distributions

Mean Value Theorem

Mean Value Theorem

Integration by Partial Fractions, Part 2

Integration by Partial Fractions, Part 2

Integration by Partial Fractions, Part 1

Integration by Partial Fractions, Part 1

Integration by Parts, Part 2

Integration by Parts, Part 2

One-Sided Derivatives

One-Sided Derivatives

Area by integrating with respect to y.

Area by integrating with respect to y.

Integration by Parts, Part 1

Integration by Parts, Part 1

Inflection Points

Inflection Points

Sampling distributions

Sampling distributions

Probability Distributions

Probability Distributions

Poisson Distributions

Poisson Distributions

Types of sampling

Types of sampling

Types of data

Types of data

Normal distributions and z score tables

Normal distributions and z score tables

Using a calculator to find mean and standard deviation of a probability distribution

Using a calculator to find mean and standard deviation of a probability distribution

Relative standing, z scores and percentiles

Relative standing, z scores and percentiles

Measures of Center; mean, median, and mode

Measures of Center; mean, median, and mode

Finding probability of and and or statements

Finding probability of and and or statements

Histograms

Histograms

Mean absolute deviation

Mean absolute deviation

Counting methods for finding probabilities

Counting methods for finding probabilities

Bionomial Distributions

Bionomial Distributions

Calculating Standard deviation and variance

Calculating Standard deviation and variance

Classical method and frequency method of finding probabilities

Classical method and frequency method of finding probabilities

Frequency Distributions

Frequency Distributions

Critical thinking about data

Critical thinking about data

Findng significantly low and high values of a sample mean

Findng significantly low and high values of a sample mean

Complete overview of indefinite and definite integrals.

Complete overview of indefinite and definite integrals.

Extreme Value Theorem, First Derivative Test, and Absolute Maximum/Minimum on a Closed Interval

Extreme Value Theorem, First Derivative Test, and Absolute Maximum/Minimum on a Closed Interval

Graphing function using derivatives

Graphing function using derivatives

The Composition of Functions

The Composition of Functions

The Power Rule

The Power Rule

Logarithmic Differentiation

Logarithmic Differentiation

The Quotient Rule

The Quotient Rule

Basic Summation Formulas

Basic Summation Formulas

Differentiation: The Product Rule

Differentiation: The Product Rule

Solving Systems of Linear Equations by Graphing

Solving Systems of Linear Equations by Graphing

The Derivative of a Constant Function

The Derivative of a Constant Function

Geometric Series: Part 3, Functions as a Series

Geometric Series: Part 3, Functions as a Series

Geometric Series: Part 2, The Interval of Convergence

Geometric Series: Part 2, The Interval of Convergence

Geometric Series: Part 1, Introduction.

Geometric Series: Part 1, Introduction.

The Product Rule

The Product Rule

The Proof of The Fundamental Theorem of Calculus, Part Two.

The Proof of The Fundamental Theorem of Calculus, Part Two.

The Proof of The Fundamental Theorem of Calculus, Part One.

The Proof of The Fundamental Theorem of Calculus, Part One.

Basic differentiation. The derivative of a constant, power rule, and sum rule.

Basic differentiation. The derivative of a constant, power rule, and sum rule.

The Difference Quotient

The Difference Quotient

The Antiderivative of an Inverse Function

The Antiderivative of an Inverse Function

The Derivative of an Inverse Function

The Derivative of an Inverse Function

Finding the Inverse of a Function

Finding the Inverse of a Function

Quadratic Functions: Finding the Range

Quadratic Functions: Finding the Range

Integrals of Trigonometric Functions: Pythagorean Conjugates

Integrals of Trigonometric Functions: Pythagorean Conjugates