Complex Numbers in Real Life
450 likes | 956 Vues
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
Complex Numbers in Real Life
E N D
Presentation Transcript
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 0.2 , 0.3 , , …. Zero & Negative 0, -1, -2, ……..
Complex Numbers in Real Life • History 1700 AC 1900 AC 1500 AC 2000AC 2000 AC 2017 i Imaginary Lateral
Complex Numbers in Real Life • Example • Drawing the function • Finding its roots
Complex Numbers in Real Life • Drawing the Function
Complex Numbers in Real Life • Finding the roots
Complex Numbers in Real Life • Meaning of i • Rotation by 90º i i i 1 -1
Complex Numbers in Real Life • Meaning of i • Rotation by 90º
Complex Numbers in Real Life • Complex Plane
Complex Numbers in Real Life • Addition Rules
Complex Numbers in Real Life King Saud University Physics Department Phys 301: Mathematical 2 Tahani Almusidi Group C & D
Complex Numbers in Real Life • Multiplication Rules
Complex Numbers in Real Life • Multiplication Rules By following the rules of Algebra (Rectangular) By finding the distance and angle (Polar)
Complex Numbers in Real Life • Multiplication Rules
Complex Numbers in Real Life • Examples 1- Finding the roots for
Complex Numbers in Real Life • Examples 1- Finding the roots for
Complex Numbers in Real Life • Examples 2- Finding the roots for
Complex Numbers in Real Life • Drawing the function +1=0
Complex Numbers in Real Life • Drawing the function +1=0 (wo/i)
Complex Numbers in Real Life • Drawing the function +1=0 (w/i) Input Output
Complex Numbers in Real Life • Drawing the function +1=0 (w/i)
Complex Numbers in Real Life • Drawing the function +1=0 (w/i)
Complex Numbers in Real Life • Drawing the function +1=0 (w/i)
Complex Numbers in Real Life • Drawing the function +1=0 (w/i) ?!
Complex Numbers in Real Life • Drawing the function +1=0 (w/i)
Complex Numbers in Real Life • Examples: 1- Drawing a shape
Complex Numbers in Real Life • Examples: 2- Drawing a path
Complex Numbers in Real Life • Examples: 2- Drawing a path ?!
Complex Numbers in Real Life • Examples: 2- Drawing a path
Complex Numbers in Real Life • Examples: 2- Drawing a path
Complex Numbers in Real Life • Examples: 2- Drawing a path
Complex Numbers in Real Life • Examples: 2- Drawing a path
Finding points: (-1,0,0,1) & (-1,0,0,-1)
Finding points: (-1,0,0,1) & (-1,0,0,-1)