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)
Who cares about complex numbers??
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)
Introduction to Radians (1 of 3: Thinking about degrees)
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)


 


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)


Who cares about complex numbers??


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)


Introduction to Radians (1 of 3: Thinking about degrees)


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)

https://.wwwyoutube.com/watch?v=1iae2e70Odw


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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