Complex Analysis: Functions of Complex Variables

In this complex equations instructional activity, students solve and complete 40 various types of problems. First, they solve each of the equations over the set of complex numbers shown. Then, students solve each inequality and state...

In this function activity, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page activity contains approximately twelve problems.

In this function worksheet, 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 worksheet contains explanations and examples, with...

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

In this function worksheet, students solve complex exponential and logarithm functions. This two-page worksheet contains approximately six problems.

In this rectangular form worksheet, students write numbers in rectangular form. They solve complex numbers, and find the value of a function. This two-page worksheet contains approximately 12 multi-step problems.

In this domain learning exercise, students determine the domain of analyticity for given functions. This one-page learning exercise contains five 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...

In this complex plane instructional activity, students describe definitions words relating to a complex plane and point sets. They give examples for each definition. This two page instructional activity contains thirteen problems.

What are the most important things about trigonometric derivatives? The 13th video in a series of 31 highlights three important aspects of trigonometric derivatives, the first being the derivatives of sine and cosine. The second is the...