Complex Analysis: Applications of Cauchy-Goursat Theorem

In this residue theorem worksheet, students find the maximum and minimum values of functions. They use Cauchy's Residue Theorem to evaluate integrals of functions. This two-page worksheet contains eleven multi-step equations.

In this polar form worksheet, students write complex numbers in polar form. They draw an Argand diagram containing vectors and draw sketches representing in a coordinate plane. This two-page worksheet contains thirteen multi-step...

For this independence of path worksheet, students evaluate contour integrals using anti-derivatives and the Cauchy-Goursat Theorem. This two-page worksheet contains four problems.

In this Cauchy-Goursat instructional activity, students evaluate integrals, sketch the contour and explain the methods used to evaluate the problem. This two-page instructional activity contains approximately six problems.

In this path independence worksheet, students evaluate contour integrals using the Cauchy-Goursat Theorem. This two-page worksheet contains approximately 5 problems.

In this graphical representation activity, students draw an Argand diagram depicting complex numbers. They draw in vectors that represent complex numbers. This three-page activity contains approximately ten problems.

In this function activity, students find the residues of all singularities of a given function. They use Cauchy's Second Residue Theorem to evaluate the functions. This four-page activity contains explanations and examples, with three...

In this Cauchy's Residue Theorem, students use the theorem to solve given functions. They evaluate integrals. This two-page worksheet contains two problems.

Give AP Calculus classes the opportunity to check the accuracy of their calculations! A calculus activity involves the collection of data, the application of mathematics, and the analysis of the accuracy of results. Young mathematicians...

Scholars identify how the TI-89 implements phasors to perform sinusoidal steady-state analysis. The focus is on how to enter and display complex numbers. They also show how a typical steady-state application how to use the Numeric Solver...