Reading:

1.  Chapter 1: Complex Arithmetic? on Wednesday (1/23) 

Reading:

1. Chapter 2: Complex Functions  on Monday (1/28) 
2. Chapter 3: Analyticity and the Cauchy-Riemann Equations  on Wednesday (1/30) 

• Homework #2 (in .pdf format) or Homework #2 (in .tex format)

• Homework #2 Solutions (in .pdf format)

Reading:

1. Chapter 4: Complex Integration on Monday (2/4) 
2. Chapter 5: Taylor's Theorem and Classifying Isolated Singularities  on Wednesday (2/6) 

• Homework #3 (in .pdf format) or Homework #3 (in .tex format)

• Homework #3 Solutions (in .pdf format)

Reading:

1. Chapter 6: The Residue Calculus on Monday (2/11) 
2. Chapter 7: Evaluation of Integrals  on Wednesday (2/13) 

• Homework #4 (in .pdf format) or Homework #4 (in .tex format)

• Homework #4 Solutions (in .pdf format)

Prof. Bernoff is in Washington DC from Tuesday 2/19 through Friday 2/22

Reading:

1. Chapter 8: An Introduction to Laplace Transforms on Monday(2/18) 
2. Chapter 9: Heaviside Functions and the Second Shifting Theorem  on Wednesday (2/20)  [Guest lecturer Prof. Jacobsen]
   
3. A Table of Laplace Transforms
   

• Homework #5 (in .pdf format) or Homework #5 (in .tex format)

• Homework #5 Solutions (in .pdf format)

Reading:

1. Chapter 10: Convolutions and Delta Functions on Monday (2/25) & Wednesday (2/27) 
2. A Table of Laplace Transforms
   

• Homework #6 (in .pdf format) or Homework #6 (in .tex format)

• Homework #6 Solutions (in .pdf format)

Reading:

1. Chapter 11: Bromwich's Integral & Inverse Laplace Transforms on Monday (3/4) . This is the last lecture covered by the first midterm.
2. We will now begin studying Partial Differential Equations and using the second book: here is the first chapter:
   Chapter 1: An Introduction to Partial Differential Equations on Wednesday (3/6) 

For the first midterm

Average = 76    Median = 80   Standard Deviation = 14.4

The solutions to the midterm and a histogram are linked below:

• Solution to Practice Midterm 1 (.pdf)

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Midterm Preperation Materials

The first midterm was available on Wednesday, March 6th in class and due on Monday, March 11th in class.

• The exam was a four-hour take-home with an up to one hour break.
• You could use six pages of notes of your construction.
• You could use this Table of Laplace Transforms.
• You could NOT use any internet resources.
• You could use a calculator for simple arithmetic, but NOTHING else.

• Practice Midterm 1 (.pdf)
• Solution to Practice Midterm 1 (.pdf)