Midterm exam 2 on Thursday, April 17


The exam covers Chapters 1-6 in the book. The exam will be based on the material covered in homework assignments.

No calculators are allowed. You may bring two handwritten sheets of paper with formulas. The exam books will be provided.

topics to study (in addition to the HW):


Cauchy formula for f(z) and also for its derivatives

Maximum modulus theorem

Gauss' mean value formula

Taylor series; estimate of the remainder using Cauchy formula for the derivatives

Laurent series; integral formula for coefficients

integration, differentiation, product of Laurent series

residues; Residue theorem

types of isolated singularities, order of poles and zeros, residues at poles