Puddle Math

Proving a Closed Form Solution Using Induction

Proving a Closed Form Solution Using Induction

Finding A Closed Form Solution to Sn=S(n-1)+4n+5

Finding A Closed Form Solution to Sn=S(n-1)+4n+5

Proving the Closed Form Solution to the Towers of Hanoi

Proving the Closed Form Solution to the Towers of Hanoi

Finding a Closed Form Solution for the Towers of Hanoi

Finding a Closed Form Solution for the Towers of Hanoi

Finding a Recurrence Relation for the Towers of Hanoi Problem

Finding a Recurrence Relation for the Towers of Hanoi Problem

Finding a Recurrence Relation for the Fibonacci Sequence

Finding a Recurrence Relation for the Fibonacci Sequence

Introduction to Recurrence Relations

Introduction to Recurrence Relations

Using Euler's Form

Using Euler's Form

Introduction to De Moivre's Theorem

Introduction to De Moivre's Theorem

Introduction to Euler's Form

Introduction to Euler's Form

Finding an Unknown Constant Using Rectangular Form and a Given Argument

Finding an Unknown Constant Using Rectangular Form and a Given Argument

Using Complex Numbers to find Cosine and Sine of Abnormal Angles

Using Complex Numbers to find Cosine and Sine of Abnormal Angles

Periodicity of Complex Numbers

Periodicity of Complex Numbers

Multiplying and Dividing in Polar Form

Multiplying and Dividing in Polar Form

Converting from Polar to Rectangular Form

Converting from Polar to Rectangular Form

Explanation of Polar Form

Explanation of Polar Form

Converting from Rectangular to Polar Form

Converting from Rectangular to Polar Form

Conjugate of a Complex Number in Polar Form

Conjugate of a Complex Number in Polar Form

Argument of a Complex Number

Argument of a Complex Number

Properties of the Modulus of Complex Numbers

Properties of the Modulus of Complex Numbers

Solving an Equation Involving Complex Numbers

Solving an Equation Involving Complex Numbers

Transformations of Complex Numbers

Transformations of Complex Numbers

Finding the Midpoint of Two Complex Numbers

Finding the Midpoint of Two Complex Numbers

Modulus of a Complex Number

Modulus of a Complex Number

Finding the Distance Between Two Complex Numbers Using Vectors

Finding the Distance Between Two Complex Numbers Using Vectors

Complex Conjugates

Complex Conjugates

Argand Diagrams

Argand Diagrams

Introduction to Complex Numbers

Introduction to Complex Numbers

Finding Coordinates of Points on a Cuboid or Parallelepiped

Finding Coordinates of Points on a Cuboid or Parallelepiped

Finding a vector of length 15 in same direction of another vector

Finding a vector of length 15 in same direction of another vector