A. Course Summary:

     a. Introduction to complex.

     b. Introduction to complex analysis.

     c. Computation of basic complex analysis.

     d. Contour integral.

     e. Complex series.  

     f. Introduction to the theory of remainders.

     g. Applications of the theory of remainders.

     h. Introduction to the theory of conformal mapping.

B. Course Goal:

             This course is mainly introducing the basic theory and application of complex analysis, including introduction to commonly used computation of complex analysis and it’s theory, conformal mapping, contour integral theory, complex series, the theory of remainders, and so on. Applications are emphasis on contour integral and conformal mapping in Laplace Equation.