The Math Sorcerer

Thursday, April 29, 2021

3 Things You Should NEVER Do When Studying Math

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Wednesday, April 21, 2021

You Can Learn to Write Proofs With This Book

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You Can Learn to Write Proofs With This Book

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Wednesday, April 14, 2021

5 Surprising Things About Math Majors that Nobody Ever Tells You

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Friday, April 9, 2021

When Your Math Professor is a Conspiracy Theorist

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Prove that the Probability of the Impossible Event is Zero

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Probability Proof using the Probability Axioms

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Prove that the Probability of Any Event is Between 0 and 1

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How to Solve the Bernoulli Differential Equation y' + xy = xy^2

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Prove that Probability of the Complement of A is One Minus the Probabili...

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Find a Formula for the Geometric Mean G and log(G) given Data and Their ...

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Prove that if z_i = x_i + y_i then the Arithmetic Mean of Z is the Sum o...

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Prove the Identity for the Finite Sums SUM((x + a)(y + b))

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How to Prove an Identity Involving Finite Sums

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Learn How to Prove an Identity with Finite Sums and Variables

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Inverse Laplace Transform of s/((s - 2)^2 + 9)

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Inverse Laplace Transform of (s + 1)/(s^2 - 9)

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Inverse Laplace Transform of 5s/(s^2 + 1)^2

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How to Find the Derivative of y = e^(tant) using the Chain Rule

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Learn How to Use the Chain Rule Example with y = (3x^2 + 7x)^10

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Inverse Laplace Transform of 1/sqrt(s)

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Prove that the Root Mean Square is Greater Than the Geometric Mean for T...

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Inverse Laplace Transform of 1/(s - 8)

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Inverse Laplace Transform of 1/(s^2 - 2s + 9)

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How to Solve the Linear Third Order Differential Equation y''' - 6y'' + ...

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How to Find the Laplace Transform of t*e^(4t)

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Inverse Laplace Transform of s/(s^2 + 6)

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How to Find the Inverse Laplace Transform of (s + 4)/(s^2 + 4s + 8)

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Prove that the Sum of the Deviations of a Data Set from Their Mean is Zero

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How to Solve the Linear Differential Equation y' - 5y = 0

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Learn How to Find the Harmonic Mean of Numbers

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How to Find the Quadratic Mean (R.M.S.) of a Set of Numbers

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Learn How to Find the Geometric Mean of a List of Numbers

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Find the Root Mean Square (Quadratic Mean) of the Numbers

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How to Find the Harmonic Mean of a List of Numbers

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How to Find the Geometric Mean of a List of Numbers

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How to Find the Mean, Median, and Mode of a Set of Data

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How to Find the Median of a Set of Grades by Hand Without a Calculator

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Find the Harmonic Mean of the Numbers

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Learn How to Express Sums in Summation Notation

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Learn How to Find the Weighted Mean of Grades

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Learn How to Write Out the Terms of a Finite Sum

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How to Find the Arithmetic Mean of The Grades on an Exam

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Learn How to Find the Root Mean Square of Numbers (Quadratic Mean)

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Learn How to Find the Harmonic Mean of a Data Set

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How to Find the Geometric Mean of a Data Set

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Axioms of Probability

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How to Simplify the Square Root of 36: sqrt(36)

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How to Simplify the Square Root of 8: sqrt(8)

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How to Simplify the Square Root of 80: sqrt(80)

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How to Simplify the Square Root of 27: sqrt(27)

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How to Simplify the Square Root of 25: sqrt(25)

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How to Simplify the Square Root of 16: sqrt(16)

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How to Simplify the Square Root of 9: sqrt(9)

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How to Simplify the Square Root of 4: sqrt(4)

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How to Simplify the Square Root of 84: sqrt(84)

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How to Compute the Square Root of 64: Sqrt(64)

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How to Compute the Square Root of 49: Sqrt(49)

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How to Simplify the Square Root of 98: sqrt(98)

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How to Simplify the Square Root of 96: sqrt(96)

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How to Simplify the Square Root of 92: sqrt(92)

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How to Simplify the Square Root of 88: sqrt(88)

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How to Compute the Square Root of 104: Sqrt(104)

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How to Simplify the Square Root of 100: sqrt(100)

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How to Simplify the Square Root of 99: sqrt(99)

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How to Find the Arithmetic Mean given Data and Their Frequencies

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Find the Arithmetic Mean of a Student's Grades

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Find the Weighted Mean

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Find the Geometric Mean (Several Examples)

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How to Find the Derivative of y = csc(e^x) using the Chain Rule

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How to Simplify the Square Root of 81: sqrt(81)

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How to Simplify the Square Root of 76: sqrt(76)

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How to Compute the Square Root of 75: Sqrt(75)

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How to Compute the Square Root of 72: Sqrt(72)

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How to Compute the Square Root of 68: Sqrt(68)

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How to Simplify the Square Root of 45: sqrt(45)

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Find the Quadratic Mean (Root Mean Square) of a List of Numbers

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How to Simplify the Square Root of 90: sqrt(90)

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Saturday, April 3, 2021

This Easy Trick Will Make You Better at Math - And You Might Not be Doin...

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Prove that 1/2 + 1/4 + 1/8 + ... + 1/2^(n - 1) is less than 1

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How to Multiply Matrices: Three Examples with Row and Column Matrices

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How to Prove a Number is an Algebraic Number, Example with cuberoot(3)/2

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Prove that the there is No Rational Number Whose Square is 2

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Prove that sqrt(2) + sqrt(3) Cannot be a Rational Number

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Prove that the Product of Invertible Matrices is Invertible and (AB)^(-1...

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Prove that the Square of any Odd Integer is Odd

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Prove that Every Rational Number is Algebraic

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Induction Proof: x^n - y^n has x - y as a factor for all positive intege...

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Friday, April 2, 2021

How to Write a Complex Number in Polar Form, Example with 3 + 3i

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Prove that if A is an Invertible Matrix then AB = AC Implies B = C

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How to Understand the Definition of Matrix Multiplication(Useful for Wri...

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Prove that Matrix Multiplication Distributes Over Addition: A(B + C) = A...

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Prove the Infinite Geometric Series Formula: Sum(ar^n) = a/(1 - r)

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Prove that the Set of All Rational Numbers Between 0 and 1 Inclusive is ...

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Explain Why 1/0 is Not Considered a Number

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Simplify the Complex Number (i + i^2 + i^3 i^4 + i^5)/(1 + i)

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Simplify the Difference in the Modulos |1/(1+3i) - 1/(1 - 3i)|

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How to Solve the Cubic Equation x^3 - 2x - 4 = 0

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Simplify the Product of the Moduli |3 - 4i|*|4 + 3i|

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Use the Definition of Convergence to Prove that the Sequence {c/n^p} Con...

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How to Multiple Matrices, Example with a 2 x 3 Times a 3 x 4

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How to Add and Substract Matrices, Two Examples

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Simplify the Rational Expression (x^2 - 5x + 6)/(x^2 - 2x - 3)

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How to Prove a Number is an Algebraic Integer, Example with 5 + 13sqrt(2)

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Prove that the Functions sin(x), cos(x), and x are Linearly Independent ...

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Write cos(theta) in terms of sin(theta) if theta is acute

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How to Evaluate Functions

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Prove the Inequality of Arithmetic and Geometric Means (AM-GM inequality)

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How to Determine if a Matrix is Symmetric or Skew-Symmetric

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Find x and B if B is a Symmetric Matrix

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Prove that Scalar Multiplication Distributes over Matrix Addition

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How to Find the Transpose of a Matrix, 4 Examples

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How to Determine if Two Vectors are Linearly Dependent

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Write sin(theta) in terms of cot(theta) if theta is in quadrant 3

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Why is 0/0 Not a Number?

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Write the First Five Terms of the Sequence {(-1)^(n -1)/(2 * 4 * 6 *...*...

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Proof That Matrix Addition is Associative

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People Who Do Well in Math Do This

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How to Prove a Number is an Algebraic Number: Example with cuberoot(2) +...

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Thursday, April 1, 2021

Prove that Between Any Two Rational Numbers There is A Rational Number

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Introduction to Topology with Examples

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Power Series Representation of the Function h(x) = 2x^3/(1 - x) and the ...

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Determine if the Series Converges or Diverges SUM((e + 1)/pi)^k)

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