# Complex Numbers – Videos

### List of Video Titles

#### Click the video titles below, to be directed to the video.

Linear Factorisation of Polynomials (2 of 2: Introductory example)

Linear Factorisation of Polynomials (1 of 2: Working in the Complex Field)

Square Roots of Complex Numbers (2 of 2: Introductory example)

Square Roots of Complex Numbers (1 of 2: Establishing their nature)

Complex Arithmetic (2 of 2: Conjugates & Division)

Complex Arithmetic (1 of 2: Addition & Multiplication)

Introduction to Complex Numbers (2 of 2: Why Algebra Requires Complex Numbers)

Introduction to Complex Numbers (1 of 2: The Backstory)

Complex Numbers as Vectors (3 of 3: Using Geometric Properties)

Complex Numbers as Vectors (2 of 3: Subtraction)

Complex Numbers as Vectors (1 of 3: Introduction & Addition)

Manipulating Complex Numbers for Purely Real Results

Powers of a Complex Number (example question)

Understanding Complex Quotients & Conjugates in Mod-Arg Form

Relationships Between Moduli & Arguments in Products of Complex Numbers

How to graph the locus of |z-1|=1

De Moivre’s Theorem

Multiplying Complex Numbers in Mod-Arg Form (2 of 2: Generalising the pattern)

Multiplying Complex Numbers in Mod-Arg Form (1 of 2: Reconsidering powers of i)

Complex Numbers – Mod-Arg Form (5 of 5: Conversion Example 2)

Complex Numbers – Mod-Arg Form (4 of 5: Conversion Example 1)

Complex Numbers – Mod-Arg Form (3 of 5: Calculating the Modulus)

Complex Numbers – Mod-Arg Form (2 of 5: Visualising Modulus & Argument)

Complex Numbers – Mod-Arg Form (1 of 5: Introduction)

Complex Numbers as Points (4 of 4: Second Multiplication Example)

Complex Numbers as Points (3 of 4: Geometric Meaning of Multiplication)

Complex Numbers as Points (2 of 4: Geometric Meaning of Subtraction)

Complex Numbers as Points (1 of 4: Geometric Meaning of Addition)

Introduction to Radians (3 of 3: Definition + Why Radians Aren’t Units)

Introduction to Radians (2 of 3: Defining a better way)

Complex Roots (5 of 5: Flowing Example – Solving z^6=64)

Complex Roots (4 of 5: Through Polar Form Generating Solutions)

Complex Roots (3 of 5: Through Polar Form Using De Moivre’s Theorem)

Complex Roots (2 of 5: Expanding in Rectangular Form)

Complex Roots (1 of 5: Introduction)

Using Inverse tan to find arguments? (2 of 2: Why it works… Sometimes)

Using Inverse tan to find arguments? (1 of 2: Why it doesn’t work… Sometimes)

Graphs on the Complex Plane (4 of 4: Exploring how the argument traced the graph)

Graphs on the Complex Plane (3 of 4: Geometry of arg(z)-arg(z-1))

Graphs on the Complex Plane [Continued] (2 of 4: Finding Regions of Inequality by Testing Points)

Graphs on the Complex Plane [Continued] (1 of 4: What’s behind the graph?)

Further Graphs on the Complex Plane (3 of 3: Geometrical Representation of Arguments)

Further Graphs on the Complex Plane (2 of 3: Algebraically verifying Graphs concerning the Moduli)

Further Graphs on the Complex Plane (1 of 3: Geometrical Representation of Moduli)

Graphs in the Complex Plane (4 of 4: Where is the argument measured from?)

Graphs in the Complex Plane (3 of 4 : Shifting the Point of Reference)

Graphs in the Complex Plane (2 of 4: Graphing Complex Inequalities)

Graphs in the Complex Plane (1 of 4: Introductory Examples)

The Triangle Inequalities (3 of 3: Difference of Complex Numbers)

The Triangle Inequalities (2 of 3: Discussing Specific Cases)

The Triangle Inequalities (1 of 3: Sum of Complex Numbers)

DMT and Trig Identities (4 of 4: Using Multi-angle formula to solve polynomials)

DMT and Trig Identities (3 of 4: Deriving tan expression from cos and sin)

DMT and Trig Identities (2 of 4: Using De Moivre’s Theorem and Binomial Expansions)

DMT and Trig Identities (1 of 4: Deriving multi-angle identities with compound angles)

Complex Conjugate Root Theorem (4 of 4: Using Factorisation to find patterns with Roots of Unity)

Complex Conjugate Root Theorem (3 of 4: Geometrical Shape represented by Conjugate Root Theorem)

Complex Conjugate Root Theorem (2 of 4: Introduction to the Conjugate Root Theorem)

Complex Conjugate Root Theorem (1 of 4: Using DMT and Polar Form to solve for Complex Roots)

Complex Numbers (6 of 6: Finishing off the Proof)

Complex Numbers (5 of 6: Complex Numbers Proofs [Using the Conjugate])

Complex Numbers (4 of 6: Harder Complex Numbers Questions)

*Note: Videos are from misterwootube.com

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