Complex Analysis: Applications of Cauchy-Goursat Theorem

In this Cauchy-Goursat worksheet, students evaluate integrals, sketch the contour and explain the methods used to evaluate the problem. This two-page worksheet 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 independence of path activity, students evaluate contour integrals using anti-derivatives and the Cauchy-Goursat Theorem. This two-page activity contains four problems.

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

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.

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...

In this integral worksheet, students explore various theorems used to evaluate integrals. This two-page worksheet contains theorem explanations and two problems.

In this residue theorem, students classify singularities of functions and use the Cauchy Residue Theorem to evaluate integrals. This two-page worksheet contains approximately 14 problems.

In this contour integration learning exercise, students identify and explain theorems used with evaluating contour integrals. This two-page learning exercise contains ten problems.

How many fundamental theorems are there? The Second Fundamental Theorem of Calculus is also known as the second part of the Fundamental Theorem of Calculus. Here's a video that introduces the theorem as the method to evaluate a definite...