The Math Sorcerer
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Thursday, April 29, 2021
3 Things You Should NEVER Do When Studying Math
Wednesday, April 21, 2021
You Can Learn to Write Proofs With This Book
You Can Learn to Write Proofs With This Book
Wednesday, April 14, 2021
5 Surprising Things About Math Majors that Nobody Ever Tells You
Friday, April 9, 2021
When Your Math Professor is a Conspiracy Theorist
Prove that the Probability of the Impossible Event is Zero
Probability Proof using the Probability Axioms
Prove that the Probability of Any Event is Between 0 and 1
How to Solve the Bernoulli Differential Equation y' + xy = xy^2
Prove that Probability of the Complement of A is One Minus the Probabili...
Find a Formula for the Geometric Mean G and log(G) given Data and Their ...
Prove that if z_i = x_i + y_i then the Arithmetic Mean of Z is the Sum o...
Prove the Identity for the Finite Sums SUM((x + a)(y + b))
How to Prove an Identity Involving Finite Sums
Learn How to Prove an Identity with Finite Sums and Variables
Inverse Laplace Transform of s/((s - 2)^2 + 9)
Inverse Laplace Transform of (s + 1)/(s^2 - 9)
Inverse Laplace Transform of 5s/(s^2 + 1)^2
How to Find the Derivative of y = e^(tant) using the Chain Rule
Learn How to Use the Chain Rule Example with y = (3x^2 + 7x)^10
Inverse Laplace Transform of 1/sqrt(s)
Prove that the Root Mean Square is Greater Than the Geometric Mean for T...
Inverse Laplace Transform of 1/(s - 8)
Inverse Laplace Transform of 1/(s^2 - 2s + 9)
How to Solve the Linear Third Order Differential Equation y''' - 6y'' + ...
How to Find the Laplace Transform of t*e^(4t)
Inverse Laplace Transform of s/(s^2 + 6)
How to Find the Inverse Laplace Transform of (s + 4)/(s^2 + 4s + 8)
Prove that the Sum of the Deviations of a Data Set from Their Mean is Zero
How to Solve the Linear Differential Equation y' - 5y = 0
Learn How to Find the Harmonic Mean of Numbers
How to Find the Quadratic Mean (R.M.S.) of a Set of Numbers
Learn How to Find the Geometric Mean of a List of Numbers
Find the Root Mean Square (Quadratic Mean) of the Numbers
How to Find the Harmonic Mean of a List of Numbers
How to Find the Geometric Mean of a List of Numbers
How to Find the Mean, Median, and Mode of a Set of Data
How to Find the Median of a Set of Grades by Hand Without a Calculator
Find the Harmonic Mean of the Numbers
Learn How to Express Sums in Summation Notation
Learn How to Find the Weighted Mean of Grades
Learn How to Write Out the Terms of a Finite Sum
How to Find the Arithmetic Mean of The Grades on an Exam
Learn How to Find the Root Mean Square of Numbers (Quadratic Mean)
Learn How to Find the Harmonic Mean of a Data Set
How to Find the Geometric Mean of a Data Set
Axioms of Probability
How to Simplify the Square Root of 36: sqrt(36)
How to Simplify the Square Root of 8: sqrt(8)
How to Simplify the Square Root of 80: sqrt(80)
How to Simplify the Square Root of 27: sqrt(27)
How to Simplify the Square Root of 25: sqrt(25)
How to Simplify the Square Root of 16: sqrt(16)
How to Simplify the Square Root of 9: sqrt(9)
How to Simplify the Square Root of 4: sqrt(4)
How to Simplify the Square Root of 84: sqrt(84)
How to Compute the Square Root of 64: Sqrt(64)
How to Compute the Square Root of 49: Sqrt(49)
How to Simplify the Square Root of 98: sqrt(98)
How to Simplify the Square Root of 96: sqrt(96)
How to Simplify the Square Root of 92: sqrt(92)
How to Simplify the Square Root of 88: sqrt(88)
How to Compute the Square Root of 104: Sqrt(104)
How to Simplify the Square Root of 100: sqrt(100)
How to Simplify the Square Root of 99: sqrt(99)
How to Find the Arithmetic Mean given Data and Their Frequencies
Find the Arithmetic Mean of a Student's Grades
Find the Weighted Mean
Find the Geometric Mean (Several Examples)
How to Find the Derivative of y = csc(e^x) using the Chain Rule
How to Simplify the Square Root of 81: sqrt(81)
How to Simplify the Square Root of 76: sqrt(76)
How to Compute the Square Root of 75: Sqrt(75)
How to Compute the Square Root of 72: Sqrt(72)
How to Compute the Square Root of 68: Sqrt(68)
How to Simplify the Square Root of 45: sqrt(45)
Find the Quadratic Mean (Root Mean Square) of a List of Numbers
How to Simplify the Square Root of 90: sqrt(90)
Saturday, April 3, 2021
This Easy Trick Will Make You Better at Math - And You Might Not be Doin...
Prove that 1/2 + 1/4 + 1/8 + ... + 1/2^(n - 1) is less than 1
How to Multiply Matrices: Three Examples with Row and Column Matrices
How to Prove a Number is an Algebraic Number, Example with cuberoot(3)/2
Prove that the there is No Rational Number Whose Square is 2
Prove that sqrt(2) + sqrt(3) Cannot be a Rational Number
Prove that the Product of Invertible Matrices is Invertible and (AB)^(-1...
Prove that the Square of any Odd Integer is Odd
Prove that Every Rational Number is Algebraic
Induction Proof: x^n - y^n has x - y as a factor for all positive intege...
Friday, April 2, 2021
How to Write a Complex Number in Polar Form, Example with 3 + 3i
Prove that if A is an Invertible Matrix then AB = AC Implies B = C
How to Understand the Definition of Matrix Multiplication(Useful for Wri...
Prove that Matrix Multiplication Distributes Over Addition: A(B + C) = A...
Prove the Infinite Geometric Series Formula: Sum(ar^n) = a/(1 - r)
Prove that the Set of All Rational Numbers Between 0 and 1 Inclusive is ...
Explain Why 1/0 is Not Considered a Number
Simplify the Complex Number (i + i^2 + i^3 i^4 + i^5)/(1 + i)
Simplify the Difference in the Modulos |1/(1+3i) - 1/(1 - 3i)|
How to Solve the Cubic Equation x^3 - 2x - 4 = 0
Simplify the Product of the Moduli |3 - 4i|*|4 + 3i|
Use the Definition of Convergence to Prove that the Sequence {c/n^p} Con...
How to Multiple Matrices, Example with a 2 x 3 Times a 3 x 4
How to Add and Substract Matrices, Two Examples
Simplify the Rational Expression (x^2 - 5x + 6)/(x^2 - 2x - 3)
How to Prove a Number is an Algebraic Integer, Example with 5 + 13sqrt(2)
Prove that the Functions sin(x), cos(x), and x are Linearly Independent ...
Write cos(theta) in terms of sin(theta) if theta is acute
How to Evaluate Functions
Prove the Inequality of Arithmetic and Geometric Means (AM-GM inequality)
How to Determine if a Matrix is Symmetric or Skew-Symmetric
Find x and B if B is a Symmetric Matrix
Prove that Scalar Multiplication Distributes over Matrix Addition
How to Find the Transpose of a Matrix, 4 Examples
How to Determine if Two Vectors are Linearly Dependent
Write sin(theta) in terms of cot(theta) if theta is in quadrant 3
Why is 0/0 Not a Number?
Write the First Five Terms of the Sequence {(-1)^(n -1)/(2 * 4 * 6 *...*...
Proof That Matrix Addition is Associative
People Who Do Well in Math Do This
How to Prove a Number is an Algebraic Number: Example with cuberoot(2) +...
Thursday, April 1, 2021
Prove that Between Any Two Rational Numbers There is A Rational Number
Introduction to Topology with Examples
Power Series Representation of the Function h(x) = 2x^3/(1 - x) and the ...
Determine if the Series Converges or Diverges SUM((e + 1)/pi)^k)
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