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Complex Numbers as Points (3 of 4: Geometric Meaning of Multiplication)
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Classroom Contents
Introduction to Complex Numbers
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- 1 Why Complex Numbers? (1 of 5: Atoms & Strings)
- 2 Why Complex Numbers? (2 of 5: Impossible Roots)
- 3 Why Complex Numbers? (3 of 5: The Imaginary Unit)
- 4 Why Complex Numbers? (4 of 5: Turning the key)
- 5 Why Complex Numbers? (5 of 5: Where to now?)
- 6 Graphs in the Complex Plane (3 of 3: Opposing rays)
- 7 Graphs in the Complex Plane (2 of 3: Algebraic method)
- 8 Graphs in the Complex Plane (1 of 3: Perpendicular bisector - visual method)
- 9 Complex Arithmetic (3 of 3: Identity from ℝ component)
- 10 Complex Arithmetic (2 of 3: Trigonometric identity)
- 11 Complex Arithmetic (1 of 3: Basic operations)
- 12 The Most Beautiful Identity (8 of 8: Conclusion)
- 13 The Most Beautiful Identity (7 of 8: Revisiting Polar Form)
- 14 The Most Beautiful Identity (6 of 8: Taylor Series)
- 15 The Most Beautiful Identity (5 of 8: Polynomial Interpolation)
- 16 The Most Beautiful Identity (4 of 8: Polar Form)
- 17 The Most Beautiful Identity (3 of 8: The Complex Plane)
- 18 The Most Beautiful Identity (2 of 8: Same number, different clothes)
- 19 The Most Beautiful Identity (1 of 8: Introducing Complex Numbers)
- 20 Graphs in the Complex Plane (4 of 4: Where is the argument measured from?)
- 21 Graphs in the Complex Plane (3 of 4 : Shifting the Point of Reference)
- 22 Graphs in the Complex Plane (2 of 4: Graphing Complex Inequalities)
- 23 Graphs in the Complex Plane (1 of 4: Introductory Examples)
- 24 Complex Numbers as Vectors (3 of 3: Using Geometric Properties)
- 25 Complex Numbers as Vectors (2 of 3: Subtraction)
- 26 Complex Numbers as Vectors (1 of 3: Introduction & Addition)
- 27 Complex Numbers - Mod-Arg Form (5 of 5: Conversion Example 2)
- 28 Complex Numbers - Mod-Arg Form (4 of 5: Conversion Example 1)
- 29 Complex Numbers - Mod-Arg Form (3 of 5: Calculating the Modulus)
- 30 Complex Numbers - Mod-Arg Form (2 of 5: Visualising Modulus & Argument)
- 31 Complex Numbers - Mod-Arg Form (1 of 5: Introduction)
- 32 Complex Numbers as Points (4 of 4: Second Multiplication Example)
- 33 Complex Numbers as Points (3 of 4: Geometric Meaning of Multiplication)
- 34 Complex Numbers as Points (2 of 4: Geometric Meaning of Subtraction)
- 35 Complex Numbers as Points (1 of 4: Geometric Meaning of Addition)
- 36 Complex Arithmetic (2 of 2: Conjugates & Division)
- 37 Complex Arithmetic (1 of 2: Addition & Multiplication)
- 38 Introduction to Complex Numbers (2 of 2: Why Algebra Requires Complex Numbers)
- 39 Introduction to Complex Numbers (1 of 2: The Backstory)
