Канал: Dr. AhMath

AI Rewind Test

AI Rewind Test

Fluorescence. Complete Review | Biophysics

Fluorescence. Complete Review | Biophysics

How to see your quiz results at AKFA University?

How to see your quiz results at AKFA University?

Interaction of a light with matter | Beer-Lamber law

Interaction of a light with matter | Beer-Lamber law

Precalculus | Lecture 3.2 | Rectangular Coordinates. Equation of a line.

Precalculus | Lecture 3.2 | Rectangular Coordinates. Equation of a line.

Precalculus | Lecture 3.1 | Inequalities & their solutions

Precalculus | Lecture 3.1 | Inequalities & their solutions

Precalculus | Lecture 2.2 | Equations with polynomials, absolute value, radicals

Precalculus | Lecture 2.2 | Equations with polynomials, absolute value, radicals

Precalculus | Lecture 2.1 | Quotients, Exponents, Radicals

Precalculus | Lecture 2.1 | Quotients, Exponents, Radicals

Precalculus | Lecture 1.2 | Natural, Integer, Rational, Irrational, Real Numbers

Precalculus | Lecture 1.2 | Natural, Integer, Rational, Irrational, Real Numbers

Precalculus | Lecture 1.1 | Academic Rules at AKFA University

Precalculus | Lecture 1.1 | Academic Rules at AKFA University

Biophysics 2021 | Lec15.1 - Heart's Anatomy. Basics of Electrocardiogram.

Biophysics 2021 | Lec15.1 - Heart's Anatomy. Basics of Electrocardiogram.

Orthogonal projection of a vector onto a plane.

Orthogonal projection of a vector onto a plane.

Calculus 2 | Solutions to Exam: Infinite Series, Vector equations of planes & lines, curvature.

Calculus 2 | Solutions to Exam: Infinite Series, Vector equations of planes & lines, curvature.

Orthogonal projection of a vector onto a line.

Orthogonal projection of a vector onto a line.

Probability Theory | Evaluate the Expected Value & the Variance of a Discrete Random Variable

Probability Theory | Evaluate the Expected Value & the Variance of a Discrete Random Variable

Linear Algebra | Find the value of X which satisfy the equation involving determinants.

Linear Algebra | Find the value of X which satisfy the equation involving determinants.

Calculus 2| Derivatives of vector functions.Vector equation of a tangent line to a vector function.

Calculus 2| Derivatives of vector functions.Vector equation of a tangent line to a vector function.

Calculus 2 | Intro to Vector functions. Functions vs Vector functions. Vector function of a Helix.

Calculus 2 | Intro to Vector functions. Functions vs Vector functions. Vector function of a Helix.

Cross product of two vectors. Equation of a plane through three points or two vectors.

Cross product of two vectors. Equation of a plane through three points or two vectors.

Vector equation of a plane using the normal vector. Angle between the planes using normal vectors.

Vector equation of a plane using the normal vector. Angle between the planes using normal vectors.

Vector equation of a line. Find parametric equation of a line through 2 points.

Vector equation of a line. Find parametric equation of a line through 2 points.

Calculus 2 | Dot product. Angle between vectors. Orthogonal vectors.

Calculus 2 | Dot product. Angle between vectors. Orthogonal vectors.

Calculus 2 | Vectors as 2-tuples. Algebraic operations with vectors. Obtaining unit vectors.

Calculus 2 | Vectors as 2-tuples. Algebraic operations with vectors. Obtaining unit vectors.

Calculus 2 | Geometric Operations with Vectors: addition, subtraction, scaling the vectors.

Calculus 2 | Geometric Operations with Vectors: addition, subtraction, scaling the vectors.

Calculus 2 | Why does the Harmonic Series diverges? Convergence of P-series.

Calculus 2 | Why does the Harmonic Series diverges? Convergence of P-series.

Calculus 2 | Famous Examples of Infinite Sequences | Pascal's triangle & Binomial Theorem

Calculus 2 | Famous Examples of Infinite Sequences | Pascal's triangle & Binomial Theorem

Probability & Statistics | Correlation Coefficient & Regression Line.

Probability & Statistics | Correlation Coefficient & Regression Line.

Single Variable Calculus | Circle, Cardiod, 4-leaf rose in Polar Coordinates.

Single Variable Calculus | Circle, Cardiod, 4-leaf rose in Polar Coordinates.

Single Variable Calculus | Points in Polar Coordinates

Single Variable Calculus | Points in Polar Coordinates

Single Variable Calculus 2021 | Calculus with Parametric Curves.Tangents, Arc length, Surface area.

Single Variable Calculus 2021 | Calculus with Parametric Curves.Tangents, Arc length, Surface area.

Probability & Statistics | Confidence Intervals for Population Variance. Chi-squared distribution.

Probability & Statistics | Confidence Intervals for Population Variance. Chi-squared distribution.

Probability & Statistics 2021 | Point and Interval Estimates of Population Proportions.

Probability & Statistics 2021 | Point and Interval Estimates of Population Proportions.

Probability & Statistics | Estimate Population's Mean using the Student's t-distribution.

Probability & Statistics | Estimate Population's Mean using the Student's t-distribution.

Probability & Statistics | Introduction to Confidence Intervals. Estimate population's mean.

Probability & Statistics | Introduction to Confidence Intervals. Estimate population's mean.

Probability & Statistics 2021 | Measures of Position: z-score, percentiles, quartiles, box-plot.

Probability & Statistics 2021 | Measures of Position: z-score, percentiles, quartiles, box-plot.

Probability & Statistics 2021 | Measures of Variation: range, standard deviation & variance

Probability & Statistics 2021 | Measures of Variation: range, standard deviation & variance

Single Variable Calculus 2021 | Integration by Parts. Quiz Problems and Solutions.

Single Variable Calculus 2021 | Integration by Parts. Quiz Problems and Solutions.

Probability & Statistics 2021 | Measures of Center: Mean, Weighted Mean, Median and Mode.

Probability & Statistics 2021 | Measures of Center: Mean, Weighted Mean, Median and Mode.

Probability & Statistics 2021| Properties of Frequency Tables.Construct a Frequency Table from Data.

Probability & Statistics 2021| Properties of Frequency Tables.Construct a Frequency Table from Data.

Probability & Statistics 2021 | Types and Characteristic of Data

Probability & Statistics 2021 | Types and Characteristic of Data

Probability & Statistics 2021 | Objectives of Statistics as a Science. Sampling Methods.

Probability & Statistics 2021 | Objectives of Statistics as a Science. Sampling Methods.

Single Variable Calculus 2021 | Integration by Parts. Integration Techniques.

Single Variable Calculus 2021 | Integration by Parts. Integration Techniques.

Single Variable Calculus 2021 | Substitution Rule. Integration Techniques.

Single Variable Calculus 2021 | Substitution Rule. Integration Techniques.

Single Variable Calculus | Fundamental Theorem of Calculus. What is derivative of integral function?

Single Variable Calculus | Fundamental Theorem of Calculus. What is derivative of integral function?

Probability & Statistics 2021 | Derive the density function of a function of a random variable.

Probability & Statistics 2021 | Derive the density function of a function of a random variable.

Single Variable Calculus| Newton's Iteration.Find roots of functions numerically, find 6th root of 2

Single Variable Calculus| Newton's Iteration.Find roots of functions numerically, find 6th root of 2

Single Variable Calculus 2021 | l'Hospital's Rule and Indetermined Limits. Find limit of (1+1/x)^x.

Single Variable Calculus 2021 | l'Hospital's Rule and Indetermined Limits. Find limit of (1+1/x)^x.

Probability & Statistics 2021 | Normal Approximation of Binomial Distribution. DeMoivre - Laplace.

Probability & Statistics 2021 | Normal Approximation of Binomial Distribution. DeMoivre - Laplace.

Single Variable Calculus 2021 | Concavity. Sketch the curves using the derivatives.

Single Variable Calculus 2021 | Concavity. Sketch the curves using the derivatives.

Probability & Statistics | Lec7.1 - Normal Distribution. Evaluate probabilities using the z-tables.

Probability & Statistics | Lec7.1 - Normal Distribution. Evaluate probabilities using the z-tables.

Single Variable Calculus | Maximum and Minimum Values

Single Variable Calculus | Maximum and Minimum Values

Single Variable Calculus | How to find increasing and decreasing regions using derivatives?

Single Variable Calculus | How to find increasing and decreasing regions using derivatives?

Probability & Statistics 2021| Lec6.2- Exponential vs Poisson distributions, Uniform Distribution

Probability & Statistics 2021| Lec6.2- Exponential vs Poisson distributions, Uniform Distribution

Single Variable Calculus | Linear Approximation of Functions

Single Variable Calculus | Linear Approximation of Functions

Probability & Statistics 2021 | Lec6.1 - Poisson Distribution is approximation of Binomial.

Probability & Statistics 2021 | Lec6.1 - Poisson Distribution is approximation of Binomial.

Probability & Statistics | Spring 21 | Lec5.2 - Geometric and Negative Binomial Distributions.

Probability & Statistics | Spring 21 | Lec5.2 - Geometric and Negative Binomial Distributions.

Calculus1 | Spring 21 | Lec5.2 - Variables of Differentiation. Implicit Differentiation.

Calculus1 | Spring 21 | Lec5.2 - Variables of Differentiation. Implicit Differentiation.

Probability & Statistics 2021 | Lec5.1 - Binomial Distribution

Probability & Statistics 2021 | Lec5.1 - Binomial Distribution

Calculus 1 | Spring 2021 | Lec4.2 - Part 2 - Derivatives of power functions using its definition

Calculus 1 | Spring 2021 | Lec4.2 - Part 2 - Derivatives of power functions using its definition

Calculus 1 | Spring 2021 | Lec4.2 - Part 1 - Horizontal asymptotes. Definition of derivatives.

Calculus 1 | Spring 2021 | Lec4.2 - Part 1 - Horizontal asymptotes. Definition of derivatives.

Probability & Statistics | Spring 2021 | Lec4.2 - Variance and its properties

Probability & Statistics | Spring 2021 | Lec4.2 - Variance and its properties

Continuity. When the function fails to be continuous? Examples of discontinuous functions.

Continuity. When the function fails to be continuous? Examples of discontinuous functions.

Prove an infinite limit using its precise definition. Prove the limit of 1/x is inf as x goes to 0.

Prove an infinite limit using its precise definition. Prove the limit of 1/x is inf as x goes to 0.

Prove the limit using its precise definition. Prove limit of (2+4x)/3=2 as x goes to 1.

Prove the limit using its precise definition. Prove limit of (2+4x)/3=2 as x goes to 1.

Calculus 1 | Lecture 4.1: Precise definition of Limits. How to prove infinite limits?

Calculus 1 | Lecture 4.1: Precise definition of Limits. How to prove infinite limits?

Probability & Statistics | Spring 2021 | Cumulative Distribution vs Mass Functions.Expected Value.

Probability & Statistics | Spring 2021 | Cumulative Distribution vs Mass Functions.Expected Value.

Probability & Statistics | Spring 2021 | Lecture 3.2 - Intro to Random Variables. Mass Function.

Probability & Statistics | Spring 2021 | Lecture 3.2 - Intro to Random Variables. Mass Function.

The limit laws. Can we directly substitute the value of the x to evaluate the limit?

The limit laws. Can we directly substitute the value of the x to evaluate the limit?

Why we need limits? The Tangent line Problem and Instant Velocity Problem.

Why we need limits? The Tangent line Problem and Instant Velocity Problem.

Probability & Statistics|Spring 2021 | Lec3.1 - Bayes' Theorem. Law of Total Probability.3 problems.

Probability & Statistics|Spring 2021 | Lec3.1 - Bayes' Theorem. Law of Total Probability.3 problems.

Functions and their Applications. Maximize area, radioactive carbon dating, reproduction of cells.

Functions and their Applications. Maximize area, radioactive carbon dating, reproduction of cells.

Probability & Statistics | Spring 2021 | Lec2.2 - Probability Rules

Probability & Statistics | Spring 2021 | Lec2.2 - Probability Rules

Create Formulas in Google Sheets. Calculate subtotal, income tax in a Payroll.Fix cells in formulas.

Create Formulas in Google Sheets. Calculate subtotal, income tax in a Payroll.Fix cells in formulas.

Probability & Statistics | Spring 2021 | Lec2.1 - Part 2 - Basics of Probability

Probability & Statistics | Spring 2021 | Lec2.1 - Part 2 - Basics of Probability

Probability & Statistics | Spring 2021 | Lec2.1 - Review, problems & solutions on Combinatorics.

Probability & Statistics | Spring 2021 | Lec2.1 - Review, problems & solutions on Combinatorics.

Probability & Statistics | Spring 2021 | Lec1.2 - Combinatorial Analysis

Probability & Statistics | Spring 2021 | Lec1.2 - Combinatorial Analysis

Probability & Statistics | Lec1.1 - Content of the Course

Probability & Statistics | Lec1.1 - Content of the Course

Linear Algebra 2020 | Final Exam with Complete Solutions

Linear Algebra 2020 | Final Exam with Complete Solutions

An example of SVD. Image Compression using SVD in Matlab.

An example of SVD. Image Compression using SVD in Matlab.

An example of a limit of the Riemann Sum. Integration using the Riemann Sum.

An example of a limit of the Riemann Sum. Integration using the Riemann Sum.

Evaluate areas using rectangles. Introducing an integral.

Evaluate areas using rectangles. Introducing an integral.

Antiderivatives

Antiderivatives

Theoretical Test on Positive Definite Matrices. Energy-based definition of Positive Definite Matrix.

Theoretical Test on Positive Definite Matrices. Energy-based definition of Positive Definite Matrix.

Positive Definite Matrices. Its testing using the determinants of all top left corner matrices.

Positive Definite Matrices. Its testing using the determinants of all top left corner matrices.

Pivots vs Eigenvalues. How to know the signs of eigenvalues without finding their actual values?

Pivots vs Eigenvalues. How to know the signs of eigenvalues without finding their actual values?

Diagonalization of Symmetric Matrices. What is a symmetric matrix? What is an orthogonal matrix?

Diagonalization of Symmetric Matrices. What is a symmetric matrix? What is an orthogonal matrix?

Find kth Fibonacci Number without finding previous ones using the Matrix Diagonalization.

Find kth Fibonacci Number without finding previous ones using the Matrix Diagonalization.

Find powers of a square matrix using the Diagonalization.

Find powers of a square matrix using the Diagonalization.

Diagonalization. Explanations with the complete example. Powers of a matrix preserve eigenvector.

Diagonalization. Explanations with the complete example. Powers of a matrix preserve eigenvector.

The Chain Rule. An intuitive explanation. Examples of using the Chain Rule.

The Chain Rule. An intuitive explanation. Examples of using the Chain Rule.

An equation of the tangent line to the curve y = e^x/(1+x^2) at the point (1,e/2).Sketch the graphs

An equation of the tangent line to the curve y = e^x/(1+x^2) at the point (1,e/2).Sketch the graphs

Find an equation of the tangent line to they = 2xe^x at (0,0). Sketch the curve and the tangent line

Find an equation of the tangent line to they = 2xe^x at (0,0). Sketch the curve and the tangent line

Derivative of a quotient of two functions. Examples.

Derivative of a quotient of two functions. Examples.

Derivative of a product of two functions. Examples.

Derivative of a product of two functions. Examples.

A first look at eigenvalues. What are the eigenvalues of projection matrix and permutation matrix?

A first look at eigenvalues. What are the eigenvalues of projection matrix and permutation matrix?

A farmer has 240 m of fencing and wants to fence off a rectangular field. What is the largest area?

A farmer has 240 m of fencing and wants to fence off a rectangular field. What is the largest area?

Solve a Least Squares (Regression Line) Problem from Linear Algebra perspective.

Solve a Least Squares (Regression Line) Problem from Linear Algebra perspective.

Least Squares (Regression Line) Problem from Calculus Perspective by minimizing Cost Functional.

Least Squares (Regression Line) Problem from Calculus Perspective by minimizing Cost Functional.

Orthogonal Subspaces. Examples of non-orthogonal subspaces. Orthogonal and Orthonormal vectors.

Orthogonal Subspaces. Examples of non-orthogonal subspaces. Orthogonal and Orthonormal vectors.

Derivatives of Power Functions

Derivatives of Power Functions

Intro to detivatives

Intro to detivatives

Evaluate the dimension of a subspace (null space, column space, row space and the left null space)

Evaluate the dimension of a subspace (null space, column space, row space and the left null space)

Perpendicular(orthogonal) and Parallel Vectors.Zero vector is parallel and orthogonal to any vector.

Perpendicular(orthogonal) and Parallel Vectors.Zero vector is parallel and orthogonal to any vector.

Angles between the vectors. Proof of the formula and examples.

Angles between the vectors. Proof of the formula and examples.

Norm of a vector and the scalar product. Properties of the norm.

Norm of a vector and the scalar product. Properties of the norm.

Position vectors and operations with them. A look from calculus.

Position vectors and operations with them. A look from calculus.

Independent Vectors: an Intuitive Definition. How to identify Independent Vectors?

Independent Vectors: an Intuitive Definition. How to identify Independent Vectors?

Rank of a Matrix. Full Column Rank. Full Row Rank.

Rank of a Matrix. Full Column Rank. Full Row Rank.

Construct a Space of Complete Solutions for Ax = b

Construct a Space of Complete Solutions for Ax = b

Null space of a matrix A.

Null space of a matrix A.

Describe the null space. Example.

Describe the null space. Example.

Column Spaces. Solvability of System of Linear Equations.

Column Spaces. Solvability of System of Linear Equations.

What is a Vector Subspace? An example of a not vector subspace.

What is a Vector Subspace? An example of a not vector subspace.

Values of Trigonometric Functions for Important Angles

Values of Trigonometric Functions for Important Angles

Deriving the Formula of the Area of Circles

Deriving the Formula of the Area of Circles

Arc length and the Sector area

Arc length and the Sector area

Constructing Complete Solutions for System of Linear Equations

Constructing Complete Solutions for System of Linear Equations

Trigonometric Functions on the Unit Circle

Trigonometric Functions on the Unit Circle

Trigonometric Ratios: Sine (SOH) and Cosine (CAH).

Trigonometric Ratios: Sine (SOH) and Cosine (CAH).

Measure and Classify an Angle

Measure and Classify an Angle

Determinant of a Matrix. Understanding it through Properties.

Determinant of a Matrix. Understanding it through Properties.

Line Segment: its equation, perpendicular bisector

Line Segment: its equation, perpendicular bisector

Properties of Logarithmic Functions

Properties of Logarithmic Functions

Logarithmic Functions. Why we need them?

Logarithmic Functions. Why we need them?

LDU and PLU decompositions

LDU and PLU decompositions

System of Linear equations using A = LU decomposition

System of Linear equations using A = LU decomposition

LU decomposition.Algorithm and example.

LU decomposition.Algorithm and example.

Elementary Matrices: constructing and inverting.

Elementary Matrices: constructing and inverting.

Angles and Trigonometric Functions. Quick Review.

Angles and Trigonometric Functions. Quick Review.

Inverse functions. Invertibility and algorithm of finding the inverse.

Inverse functions. Invertibility and algorithm of finding the inverse.

Matrices in Special Forms: Diagonal, Upper-triangular and Permutation Matrices. Their Inverses.

Matrices in Special Forms: Diagonal, Upper-triangular and Permutation Matrices. Their Inverses.

Circles: equations, graphs, complete square form, semicircles

Circles: equations, graphs, complete square form, semicircles

Inverse Matrices using Gauss-Jordan Elimination

Inverse Matrices using Gauss-Jordan Elimination

AB Matrix Multiplication as Linear Combination of Rows of B

AB Matrix Multiplication as Linear Combination of Rows of B

AB Matrix Multiplication as a Linear Combination of Columns of A

AB Matrix Multiplication as a Linear Combination of Columns of A

Compound Interest Formula and the Natural Exponential Number

Compound Interest Formula and the Natural Exponential Number

What is the value of e? Find it using a simple series.

What is the value of e? Find it using a simple series.

Introduction to Exponential Functions

Introduction to Exponential Functions

Points on Rectangular Coordinates

Points on Rectangular Coordinates

Gauss-Jordan Elimination

Gauss-Jordan Elimination

Row Echelon Forms

Row Echelon Forms

Elementary Row Operations

Elementary Row Operations

Homogeneous system of linear equation

Homogeneous system of linear equation

Linear Equations in 3 forms: General, Parametric and Vector

Linear Equations in 3 forms: General, Parametric and Vector

System of Linear Equations: definitions, notation, number of solutions

System of Linear Equations: definitions, notation, number of solutions

Quadratic Functions: Sketch the Graphs vs Find the Equations

Quadratic Functions: Sketch the Graphs vs Find the Equations

Linear Combination of Vectors

Linear Combination of Vectors

A line x =0, y=t, z =t is above, below or on the plane 5x-3y+3z = 1

A line x =0, y=t, z =t is above, below or on the plane 5x-3y+3z = 1

Vector Equations of Lines and Planes in High-dimensional Spaces

Vector Equations of Lines and Planes in High-dimensional Spaces

Normal-point equation of planes through 3 points

Normal-point equation of planes through 3 points

Cauchy-Schwarz Theorem. An intuitive proof and examples.

Cauchy-Schwarz Theorem. An intuitive proof and examples.

Angle between Vectors. Parallel and Orthogonal Vectors.

Angle between Vectors. Parallel and Orthogonal Vectors.

Scalar multiplication and the norm of vectors

Scalar multiplication and the norm of vectors

Vectors in Linear Algebra: geometric & algebraic operations with vectors.

Vectors in Linear Algebra: geometric & algebraic operations with vectors.

Introduction to Linear Algebra. Content of the course.

Introduction to Linear Algebra. Content of the course.

Matrices and Column Vectors. Addition, inner and outer vector multiplications.

Matrices and Column Vectors. Addition, inner and outer vector multiplications.

Quadratic Functions in Complete Square Form

Quadratic Functions in Complete Square Form

Roots of Quadratic Functions: Parabola vs x-axis

Roots of Quadratic Functions: Parabola vs x-axis

Introduction to Quadratic Functions

Introduction to Quadratic Functions

Linear Functions: it's parameters, the graph and the equation.

Linear Functions: it's parameters, the graph and the equation.

Intro to Polynomials. Multiplication & Factorization.

Intro to Polynomials. Multiplication & Factorization.

Binomial Formula. Sigma Notation. Combinations. Factorials.

Binomial Formula. Sigma Notation. Combinations. Factorials.

Radicals. Examples, Properties and the Connection with Exponentials.

Radicals. Examples, Properties and the Connection with Exponentials.

Examples of Exponential Numbers in Finance, Biology and Medicine

Examples of Exponential Numbers in Finance, Biology and Medicine

Exponential numbers and their properties

Exponential numbers and their properties

Set of numbers. Real numbers, Rational and Irrational numbers, Integers and Natural numbers.

Set of numbers. Real numbers, Rational and Irrational numbers, Integers and Natural numbers.

Add and multiply numbers with opposite signs and the Rational Numbers.

Add and multiply numbers with opposite signs and the Rational Numbers.

Directional Derivatives, Quiz Solutions

Directional Derivatives, Quiz Solutions

Problems on Vector Solutions with Complete Solutions

Problems on Vector Solutions with Complete Solutions

Test the series sum(sin(n+1/2)/(1+sqrt(n))) using the Dirichlet's Test

Test the series sum(sin(n+1/2)/(1+sqrt(n))) using the Dirichlet's Test

Variance of a Discrete Random Variable. Explaining its concept.

Variance of a Discrete Random Variable. Explaining its concept.

An Example of Expected Value of a Discrete Random Variable.

An Example of Expected Value of a Discrete Random Variable.

Expected Values is the Average of a Random Variable

Expected Values is the Average of a Random Variable

Random variables and their distribution functions

Random variables and their distribution functions

The Limit Of A Sequence Analytically And Numerically: aN = N-sqrt(N+1)*sqrt(N+3)

The Limit Of A Sequence Analytically And Numerically: aN = N-sqrt(N+1)*sqrt(N+3)

Bayes' theorem. Simple guides to memorize the formula and use it.

Bayes' theorem. Simple guides to memorize the formula and use it.

Law of Total of Probability. Simple Guides with Examples.

Law of Total of Probability. Simple Guides with Examples.

Conditional Probability

Conditional Probability

Multiplication Rule

Multiplication Rule

Additional Rule for Probability. Mutually exclusive events.

Additional Rule for Probability. Mutually exclusive events.

In how any ways 4 math, 6 physics and 2 chemistry books can be arranged if...

In how any ways 4 math, 6 physics and 2 chemistry books can be arranged if...

Axioms of Probability with simple explanations

Axioms of Probability with simple explanations

Why the Harmonic Series is divergent?

Why the Harmonic Series is divergent?

Geometric Series: Examples and their Solutions

Geometric Series: Examples and their Solutions

In how many ways 6 girls and 4 boys can be rearranged if ...

In how many ways 6 girls and 4 boys can be rearranged if ...

Geometric Series. Formula to Estimate the Sum.

Geometric Series. Formula to Estimate the Sum.

Combinatorics in Probability. Simples Guides with Examples.

Combinatorics in Probability. Simples Guides with Examples.

Introduction to the Probability

Introduction to the Probability

Introduction to Series

Introduction to Series

Problems on Permutations and Combinations

Problems on Permutations and Combinations

Combinations

Combinations

Permutations

Permutations

Introduction to Combinatorial Analysis

Introduction to Combinatorial Analysis

Converging and Diverging Sequences

Converging and Diverging Sequences

What is a sequence? Examples of sequences and their real life Applications.

What is a sequence? Examples of sequences and their real life Applications.

Hypothesis Testing: Proportions & Variance

Hypothesis Testing: Proportions & Variance

Hypothesis Testing: Population Mean (when sigma is unknown and known)

Hypothesis Testing: Population Mean (when sigma is unknown and known)

Hypothesis Testing. The General Concept.

Hypothesis Testing. The General Concept.

Confidence Interval for Variance using Chi-Squared Distribution

Confidence Interval for Variance using Chi-Squared Distribution

Construct a Confidence Interval for Proportions

Construct a Confidence Interval for Proportions