Test Total Name Final Examination Tuesday, December 14th, 2004 Show your work. Complex Variables 3450:425/525 Dr. Norfolk
1. Give precise statements of the following : (a) The Cauchy-Goursat Theorem
4 points
(b) The Cauchy Integral Formula for Derivatives
Test Total Name Final Examination Complex Variables 3450:425/525 May 11, 1999 Show your work. Dr. Norfolk
1. State : (a) The Cauchy Integral Formula for Derivatives
5 points
(b) The Maximum Modulus Principle
5 points
2. Let C be the contour which consists
Test Total Name Midterm October 25, 2004 Show your work. Complex Variables 3450:425/525 Dr. Norfolk
1. (a) Write
2+i in the form a + bi. (1 i)(1 + 2i)
5 points
(b) Use the polar/exponential form to evaluate (1 +
3i)5 in the form a + bi
10 points
(c) Use
Test Total Name Midterm Complex Variables 3450:425/525 Dr. Norfolk October 22, 2008 Show your work. Give exact answers where possible.
1. Write the following in the form a + bi. (a) 2i . (1 + 2i)(1 3i)
10 points (b) 2 3 + 2i
5
10 points
2. (a) Show that t
Test Total
Name
Midterm Examination
Complex Variables 3450:425/525
Due: 10:00am, Friday, October 23, 2009 Dr. Norfolk
Rules:
Show your work.
Give exact answers.
Cite any references used, other than your notes.
You may not discuss this test with anyone
Test Total
Name
Final Examination
Complex Variables 3450:425/525
Due: 3:00pm, Wednesday, December 10, 2008 Dr. Norfolk
Rules:
Show your work.
Give exact answers.
Cite any references used, other than your notes.
You may not discuss this test with anyon
Test Total Name Midterm Complex Variables 3450:425/525 March 15, 2002 Show your work. Dr. Norfolk
1. Write
3 in the form a + ib. (1 + i)(3 i) 5 points
2. Use Eulers formula to nd the expansions of cos 2 and sin 2 in terms of cos and sin . 5 points
3. (a)
Test Total Name Final Examination Tuesday, May 7th, 2002 Show your work. Complex Variables 3450:425/525 Dr. Norfolk
1. Give precise statements of the following : (a) The Cauchy-Goursat Theorem
4 points
(b) The Cauchy Integral Formula for Derivatives
6 poi
Test Total Name Midterm Complex Variables 3450:425 March 12, 1999 Show your work. Dr. Norfolk
1. Write
5 3i in the form a + ib. (2 + i)(1 i)
10 points
2. Use the denition of ez to prove that |ez | = ex .
10 points 3. Use polar coordinates to nd the exact
Test Total
Name
Final Examination
Complex Variables 3450:425/525
Due: 12:00pm, Wednesday, December 9, 2009 Dr. Norfolk
Rules:
Show your work.
Give exact answers.
Cite any references used, other than your notes.
You may not discuss this test with anyon