Summaries of The Math Sorcerer Videos 📚

Elementary Number Theory by Underwood Dudley

Determine if the Functions are Linearly Independent or Linearly Dependent

Direct Proof: Prove that if 5x - 7 is odd, then 9x + 2 is even

Integral Test for Infinite Series Example with SUM(2/(3n + 1))

First Isomorphism Theorem for Groups Proof

Does the Series SUM(e^n/3^(n-1)) Converge or Diverge? If it Converges, Find the Sum.

Inverse Image(Preimage) of Intersection of Sets Proof

How To Add Three Mixed Numbers by Converting to Improper Fractions

Finding the Minimum Radius of Convergence about an Ordinary Point

The Best Geometry Book for Beginners

She Withdrew From Her Math Class and Feels Like She Failed Herself

Prove the Cardinality of the Integers is the same as the Cardinality of the Odd Integers

Strange Things Occur When You STOP DOING MATH for 14 Days

Math Books For Learning Trigonometry

Complex Variables Trigonometric Identity Proof sin^2(z) + cos^2(z) = 1

Become an Algebra Master in 30 Minutes a Day

Solve the Trigonometric Equation cos^2(x) - sin^2(x) = 1

Solve (x - 4)^(2/3) = 36 College Algebra MyMathlab Homework

Limit of sqrt(x^2 + y^2)ln(sqrt(x^2 + y^2)) using Polar Coordinates and L'Hopital's Rule

Inverse Trigonometric Functions arcsin(x), arccos(x), arctan(x) and Examples of Computing Values

Integral csc(x)sec(x) MIT Integration Bee Qualifying Exam 2018 Problem #20

It's Not What You Think

The Complement of an Event A

Going Back to College Later in Life

Why Math Books Don't Have Answers

Integral of (x + 5)/sqrt(16 - (x - 4)^2) using Inverse Sine

How to Do a Hypothesis Test in the TI 84 for a Single Percentage

Binomial Mean and Standard Deviation Example

#36. Find the Difference Quotient (f(x + h) - f(x))/h for the Function f(x) = 2x^2 - 5x

Finding the Derivative using the Limit Definition f(x) = sqrt(x + 2)

Find the Area of the Surface of Revolution

Verifying Laplace's Equation for a Complex Valued Function

Is This Holding Him Back

Find the Intervals where the Function is Increasing, Decreasing and The Relative Extrema

It's a Calculus Mistake

Derivative of y = 4ln(tanh(x/2))

Learn How to Find the Area Under the Graph of x Squared using a Definite Integral

Calculus in the Real World

The Dark Truth Behind Genius Minds: What It Really Takes to Learn Anything

The Intersection of Two Subgroups is also a Group Proof

Introduction to Power Series and The Convergence Theorem

Find the Equation of the Tangent Plane for the Surface z = ycos(x - y) at (2, 2, 2)

Domain, Range, Intercepts, Function Values from Graph MyMathlab Homework College Algebra

How to Find the Directional Derivative of h(x, y) = e^(-2x)sin(y)

#34. Solve the Polynomial Inequality using the Test Point Method

Be the Top 1%: Brain Hacks Every Genius Learner Should Know

An Easy Way to Start with Mathematics

How to Convert from Base Seven to Base Five

Solve 5x^2 - 75x - 30 = 0 by Completing the Square MyMathlab Homework

Introduction to Direct Variation, Inverse Variation, and Joint Variation

Learn How to Express Sums in Summation Notation

Basic Integration Formulas for Calculus 1

How to Verify the Logical Equivalence using the Laws of Logic: ~(~p ^ q) ^ (p V q) = p

Metric Spaces: The Union of Open Subsets is Open

Integral of sin(2x)cos(2x)

Solving 49x^2y'' + 49xy' + y = 0 Cauchy Euler Differential Equation

Find the Function Given f''(x) = 2 + cos(x), f(0) = -1, f(pi/2) = 0

Solving an Initial Value Problem with Laplace Transforms y' + 4y = e^(4t)

Definite Integral of 1/(1 - x^2) using an Integration Formula with Logarithms

Laplace Transform of cosh^2(kt)

Solve Quadratic Equations Po-Shen Loh Style: Derivation and Example

Calculus 1: Lecture 1.2 Finding Limits Graphically and Numerically

The Graphs of y = 1/x and y = 1/x^2 College Algebra

Why This Old Book Might Just Be Your Best Bet for Learning Calculus

Truth Table for (p ^ q) V ~r

How to Use The Fundamental Theorem of Calculus

Axioms of Probability

8 Steps to Become an Expert at Anything

18 Powerful Strategies for UNSTOPPABLE Confidence

Solve the Equation x^y = y^x

The Best Way To Learn Linear Algebra

Solve the Differential Equation y'' - 9y = 54 using the Annihilator Method

The 3 Keys To Learning Anything Hard

Proof of sinh(x + y) = sinh(x)cosh(y) + cosh(x)sinh(y) Hyperbolic Identity

Inverse Laplace Transform of s/(s^2 + 6s + 10)

A Math Book For Every Person In The World

Factor the Trinomial using the AC Method 2y^2 - 13y + 15

One Thing We Struggle With in Math

Integral of csc^2(x/2)

Integral (arcsin(x))^2

Integrating Multivariable Functions with Respect to One Variable - Calculus 3

Inequality Mathematical Induction Proof: 2^n greater than n^2

Directional Derivative of g(x, y) = sqrt(x^2 + y^2) at (3, 4) in the direction of v = 8i - 15j

Vertical Translation, Amplitude, Period, Phase Shift, and Range of Cosine and Sine Functions

Perimeter and Polygons

Too Old To Become An Engineer

I Failed My Exam

Calculus: Derivative of g(alpha) = 5^(-alpha/2)sin(2*alpha)

Differentiation and Integration with Bases other than e - Full Calculus Tutorial

Calculus Book for Beginners

Proof that sum(sin(n)/n) Converges using Dirichlet's Test

Beautiful Abstract Algebra Book for Motivated Beginners "Topics in Algebra by Herstein"

How to Use the Shell Method to Find the Volume of a Solid

Differential Equations: Lecture 1.1-1.2 Definitions and Terminology and Initial Value Problems

Introduction to Cylindrical Coordinates

Volume using Disk Method with Exponential Function

Seven Math Books for Seven Math Subjects You can Learn Without Calculus

The Derivative is Linear Calculus 1

Prove that Every Integer is Even or Odd

Things Math Professors Never Say

#17. How to Find the Sum(f + g), Difference(f - g), Product(fg), and Quotient(f/g) of Functions

Improper Integral of 3*e^(-3x) from 0 to Infinity

Squeeze Theorem Limit Proof

Increasing Your Mathematical Maturity

She's Doing Everything Right

Practice Social Distancing by Playing League of Legends with the Math Sorcerer:)

How to Compute Dot Products Multiple Examples from Calculus 3

Separable Differential Equations yln(x)(dx/dy) = ((y + 1)/x)^2

Find the Sum of the Series SUM((2^n + 1)/3^n)

Set Theory Proof: If A n B = empty! then A is a subset of B complement

Formulas for the Derivatives and Integrals of the Hyperbolic Functions

How to Find dy/dx using Implicit Differentiation Given y^2 - y*e^x = 12 (Example with Exponentials)

How to Determine the Conclusion of a Hypothesis Test

Solve the Equation with Two Cube Roots: cuberoot(cuberoot(x)) = x

Precalculus Book for Self-Study

Formula for the Sequence: 1, 0, 1, 0, ...

Integral of sin(nx) from 0 to pi for n = 0, 1, 2, 3, ...

Integral sin(sin(x)) ****Horseshoe Integral***

Learn How to Condense Two Logarithms Into a Single Logarithm with a Coefficient of 1

Limit of (sin(a + h) - sin(a))/h as h approaches zero (Two Solutions)

Removable and Nonremovable Discontinuities in a Rational Function Calculus Example

Learn How to Find the Limit of a Piecewise Function

Laplace Transform of the Convolution of t^2 and te^t

How to Convert Between Polar Coordinates and Rectangular Coordinates

How to Learn Linear Algebra, The Right Way?

The Perfect Calculus Book

Trigonometric Integrals Powers of Secant and Tangent sec^4(2x)*tan^4(2x)

How to Read Hard Math Books

Every Closed Subset of a Compact Space is Compact Proof

Finding the Focus, Directrix, and Axis of Symmetry of a Parabola Example 1

Alternating Series Test Example SUM( (-1)^(n + 1)/(n + 7))

Verify the Trigonometric Identity 1/(1 - sin^2(x)) = 1 + tan^2(x)

How to Find the Cube Roots of a Complex Number Example with -1 + sqrt(3)*i

Integral of The Absolute Value of Sine from 0 to 3pi/2

How to Prove Uniform Convergence Example with f_n(x) = x/(1 + nx^2)

How to Sketch a Vector Valued Function and Find Orientation and Rectangular Form

#24. Does the Quadratic have a Max or a Min? What is it? Where does it occur? Find the domain/range

Most Calculus Students Can't Solve This But It's REALLY Important

Prove the Function is Onto: f(x) = 1/x

Find the Sum of the Infinite Geometric Series Harder Example!

How to Find the Curvature using the Cross Product Formula for r(t) = ti + t^2j + (t^2/2)k

Definition of a Surjective Function and a Function that is NOT Surjective

Use the Second Derivative Test to Find all Relative Extrema f(x) = x^3 - 3x^2 + 2

Set Theory Proof with the Math Sorcerer

Laplace Transform of sin(3t)cos(2t) using Trigonometric Identities

Congruence Modulo n Multiplication Proof - Clever Proof

Evalute the Expression without a Calculator by First Converting Each Piece to Scientific Notation

Proving two Spans of Vectors are Equal Linear Algebra Proof

Solve the Separable Differential Equation y'(t) = e^(y/2)sin(t)

Integral of (4t^2 + 3)^2 with respect to t

System of Equations with Three Equations and Three Variables

Contour Integral of 1/z with respect to z along the Unit Circle - Complex Variables

Finding the Center and Radius of the Circle 4x^2 - 24x + 4y^2 - 21y + 21 = 0

Show that the Integral of 1/x from 0 to 1 Diverges

#55. How to Solve a Nonlinear System an Example with Four Solutions

Discrete Mathematics Book I Used for Self Study

Set Theory Proof with Cartesian Product of Sets and Intersection A x (B n C) = (A x B) n (A x C)

Limit of (1 - e^(3x^2))/(xsin(2x)) as x approaches 0

How to Show a Function is Not a Linear Transformation

Area Bounded by the Parabola x = 2 + y - y^2 and the y-axis

Passing the General GRE Test

How to Divide Complex Numbers

The Most Famous Book on Set Theory

Find the Linearization L(x, y) of f(x, y) = sqrt(x)y at (1, 4)

Introduction to Polar Coordinates

Mathematical Induction Proof for the Sum of Cubes

The Dark Truth of Becoming an Engineer

Exact Value of tan(pi/12)

Graph The Piecewise Function and Find the Domain and Range (Parabola and Line Example)

Separable Differential Equations

Hypothesis Test for a Proportion with StatCrunch and MyMathlab All Steps Shown

Inverse Laplace Transform with Partial Fractions Cover-Up Method

Integral |sin(x)| from 0 to 3pi/2

Introduction to Parametric Equations

Prove the Function is Onto: f(m, n) = m + n

Finding the Laplace Transform of f(t) = (t + 2)^3

Prove f(x + a) - f(x - a) = 2a/(a^2 - x^2) if f(x) = 1/x

Find A Function That Describes The Bottom Half Of The Parabola x + (y - 1)^2 = 0

One Math Book For Every Math Subject

Determine if the Piecewise Function is Continuous by using the Definition of Continuity

How to Find the Intersection and Union of Sets in Set Builder Notation and Write in Interval

Train Your Brain to Think Like a Genius

A Powerful Way to Derive the Cosine and Sine Sum and Difference Identities

Equation of the Tangent Line for y = 3ln((e^x + e^(-x))/2) at (0,0)

Unearth the Goldmine of Calculus: Direct from MIT's Math Godfather! 💎 "All" Answers Included!

Bernoulli Differential Equation x*dy/dx + y = 1/y^2

3 Ways To Get Better At Math

Conditional Probability with a Table

Addition of Whole Numbers

Derivative using the Limit Definition (Quadratic Example)

Hypothesis Test for a Single Proportion using StatCrunch in MyMathlab MyStatlab

Proof of the Formula for the Derivative of a^x

Exponential Equation with Unlike Bases 3^(1 - 2x) = 4^x

College Physics

How to Evaluate a Cubic Function

Determine if the Infinite Series SUM( 1/(sqrt(2))^n)) Converge or Diverges

Solution to the Differential Equation tan(x)sin^2(y)dx + cos^2(x)cot(y)dy = 0

How to Evaluate Limits Algebraically in Calculus by Factoring

The Derivative of f(x) = |ln(x)|

How to Find the Level Curves of a Function Calculus 3

The Best Math Students

Math Sorcerer League Stream

How to Convert from Decimal Form to Base Seven

Hypothesis Test and Confidence Interval for Two Populations Means in StatCrunch

Integral of sin^2(x)

Obscure but Beautiful Abstract Algebra Book from the 1960s

How to Find Direction Cosines and Direction Angles

Group Homomorphisms Map the Identity to the Identity (Proof)

How to Prove Two Sets are Equal: (Prove if A x C = B x C then A = B)