Complex Numbers in Standard Form
46 min 12 Examples
- Intro to Video: Complex Numbers in Standard Form
- Overview of Real Numbers and Imaginary Numbers
- Complex Numbers in Standard Form and Addition and Subtraction of Complex Numbers
- Examples #1-6: Add or Subtract the Complex Numbers and Sketch on Complex Plane
- Two Examples with Multiplication and Division of Complex Numbers in Standard Form
- Two Examples on Multiplying Complex Numbers in Standard Form
- Two Examples on Dividing Complex Numbers in Standard Form
Complex Numbers in Polar Form
42 min 9 Examples
- Intro to Video: Complex Numbers in Polar Form
- Quick Review of Complex Numbers in Standard Form and Vector Operations
- Complex Numbers in Polar Form with Example
- Two Examples of Expressing a Complex Number in Polar Form
- Two Examples of Converting from Polar back to Standard Form
- Products and Quotients in Polar Form
- Examples #1-4: Multiply or Divide the Complex Numbers
De Moivre’s Theorem
1 hr 8 min 8 Examples
- Intro to Video: DeMoivre’s Theorem – Powers and Roots of Complex Numbers
- Examples #1-2: Overview of DeMoivre’s Theorem
- Examples #3-4: Evaluate using DeMoivre’s Theorem
- Example #5: Overview of Complex Roots Theorem
- Example #6-7: Find the Indicated Roots
- Example #8: Solve for the Indicated Roots
Chapter Test
1 hr 10 min 15 Examples
- Examples #1-4: Perform the Indicated Operation and Sketch on the Complex Plane
- Examples #5-6: Express each Complex Number in Polar Form
- Examples #7-10: Find the Product or Quotient and express solution in Standard Form
- Examples #11-13: Evaluate the Powers of Complex Numbers and express solution in Standard Form
- Examples #14-15: Find Roots of Complex Numbers and express solution in Standard Form