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Complex Numbers in Real Life

Complex Numbers in Real Life. King Saud University Physics Department Phys 301: Mathematical 2 Tahani Almusidi Group A+B. Complex Numbers in Real Life. History. 0. 500 AC. 1500AC. 2000 AC. 2000 BC. 1500 BC. 1000 BC. 500 BC. 1000 AC. 2017. Natural 1,2,3,. Fraction

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Complex Numbers in Real Life

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  1. Complex Numbers in Real Life King Saud University Physics Department Phys 301: Mathematical 2 Tahani Almusidi Group A+B

  2. Complex Numbers in Real Life • History 0 500 AC 1500AC 2000 AC 2000 BC 1500 BC 1000 BC 500 BC 1000 AC 2017 Natural 1,2,3,...... Fraction 0.2 , 0.3 , , …. Zero & Negative 0, -1, -2, ……..

  3. Complex Numbers in Real Life • History 1700 AC 1900 AC 1500 AC 2000AC 2000 AC 2017 i Imaginary Lateral

  4. Complex Numbers in Real Life • Example • Drawing the function • Finding its roots

  5. Complex Numbers in Real Life • Drawing the Function

  6. Complex Numbers in Real Life • Finding the roots

  7. Complex Numbers in Real Life • Meaning of i • Rotation by 90º i i i 1 -1

  8. Complex Numbers in Real Life • Meaning of i • Rotation by 90º

  9. Complex Numbers in Real Life • Complex Plane

  10. Complex Numbers in Real Life • Addition Rules

  11. Complex Numbers in Real Life King Saud University Physics Department Phys 301: Mathematical 2 Tahani Almusidi Group C & D

  12. Complex Numbers in Real Life • Multiplication Rules

  13. Complex Numbers in Real Life • Multiplication Rules By following the rules of Algebra (Rectangular) By finding the distance and angle (Polar)

  14. Complex Numbers in Real Life • Multiplication Rules

  15. Complex Numbers in Real Life • Examples 1- Finding the roots for

  16. Complex Numbers in Real Life • Examples 1- Finding the roots for

  17. Complex Numbers in Real Life • Examples 2- Finding the roots for

  18. Complex Numbers in Real Life • Drawing the function +1=0

  19. Complex Numbers in Real Life • Drawing the function +1=0 (wo/i)

  20. Complex Numbers in Real Life • Drawing the function +1=0 (w/i) Input Output

  21. Complex Numbers in Real Life • Drawing the function +1=0 (w/i)

  22. Complex Numbers in Real Life • Drawing the function +1=0 (w/i)

  23. Complex Numbers in Real Life • Drawing the function +1=0 (w/i) 

  24. Complex Numbers in Real Life • Drawing the function +1=0 (w/i) ?!

  25. Complex Numbers in Real Life • Drawing the function +1=0 (w/i)

  26. Complex Numbers in Real Life • Examples: 1- Drawing a shape

  27. Complex Numbers in Real Life • Examples: 2- Drawing a path

  28. Complex Numbers in Real Life • Examples: 2- Drawing a path ?!

  29. Complex Numbers in Real Life • Examples: 2- Drawing a path

  30. Complex Numbers in Real Life • Examples: 2- Drawing a path

  31. Complex Numbers in Real Life • Examples: 2- Drawing a path

  32. Complex Numbers in Real Life • Examples: 2- Drawing a path

  33. Finding points: (-1,0,0,1) & (-1,0,0,-1)

  34. Finding points: (-1,0,0,1) & (-1,0,0,-1)

  35. What about +1=0

  36. What about +1=0

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