Polar Conics Example 1 - Sketch r = 3/(2+2cosθ)

In this video, we'll identify the features that will allow us to sketch the equation r = 3/(2+2cosθ).

Solving Linear Inequalities - Example -3(x - 2) ≥ 18

In this video, we solve the linear inequality -3(x - 2) ≥ 18 and plot the solution on a number line.

Multiplication of Complex Numbers

Generally, multiplication of complex numbers follows the exact same principles as multiplication in algebra. In this video I demonstrate 3 common examples of multiplication of complex numbers.

Solving Linear Inequalities - Example 2x < x - 1 ≤ 3x + 5

In this video, I show you how to solve for a combined inequality 2x < x - 1 ≤ 3x +5. The first step is to separate the inequality into 2 parts. So we have...

Polar Form of Conic Sections - Part 2

In this video, we discuss the variations of the polar form of conic sections, which we derived in the previous video as...

How to Solve Simultaneous Equations Graphically

There are several ways to solve for a linear system of simultaneous equations and the ones that we've explored already are the method of substitution and the method of elimination.

Another method, and it's my favourite method, is to solve simultaneous equations graphically.

Integral 3x^2+8/x^3+4x by Partial Fraction Decomposition

In this video, I demonstrate how to integrate the quotient (3x² + 8) / [x(x² + 4)].

Now, because we have a quotient of 2 polynomials, that we will have to perform partial fraction decomposition first to turn this integral into a form that we can integrate.

Proof that ∑2^(n-1) = 2^n - 1 with Mathematical Induction

In this video I demonstrate that the equation 1 + 2 + 2² + 2³ + ... + 2^n-1 = 2ⁿ - 1 for all positive integers using mathematical induction.