Complex Analysis: Complex Variables

In this complex function activity students identify the derivative of given functions and explore the rules of differentiation. This two-page activity contains explanations and examples, followed by ten problems.

In this complex function worksheet, students examine the properties of integrals of complex functions of a real variable, smooth arcs, and the Jordan Curve Theorem. This two-page worksheet contains approximately seven equations.

For this complex function worksheet, students identify the limits of complex functions. This two-page worksheet contains examples and explanations, followed by two problems.

In this domain worksheet, students determine the domain of analyticity for given functions. This one-page worksheet contains five multi-step equations.

In this complex derivative activity, students determine the circle of a radius under the mapping principle. They identify analytic functions, and explore the relationship between real and imaginary parts of complex functions. This...

For this complex variable worksheet, students explore the functions of a complex variable. They map complex variables and solve complex inequalities. This three-page worksheet contains fourteen problems.

Pi shows up in a lot of places, even in the complex plane. Individuals watch a video in the Numberphile Pi series that shows the Mandelbrot set in the complex plane and explains how pi shows up in the number of iterations.

Roughness is everywhere, contributing to the incredible complexity of the world around us. This complexity, however, is not without it's own unique sense of order. Join world-renown mathematician Benoit Mandelbrot as he looks...

Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...

Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...