Complex Analysis: Functions of Complex Variables

In this function worksheet, students map equations and identify three dominant characteristics. They evaluate functions of complex variables. This three-page worksheet contains approximately ten problems.

For 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.

Students calculate probability. In this lesson on probability, students use given data to calculate to chances of a given event occurring. Many of the calculations in this lesson are applicable to daily life.

This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...

This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...

Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 

In this complex exponential worksheet, students identify an entire function and explore how to show a function is analytic. This two-page worksheet contains four problems, as well as explanations and examples.

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...

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 at numerous...

In exploring the concept of complex roots, learners find the axis of symmetry and roots of parabolas.  Then, they discuss what makes a solution complex and how to identify functions with complex roots.