Complex Analysis: Functions of Complex Variables

In this complex equations worksheet, 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 their answers in...

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

In this function worksheet, students complete complex trigonometric functions. They use hyperbolic trigonometric functions to solve problems. This two-page worksheet contains eight problems with examples and explanations.

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

Apply knowledge of derivatives and inverse hyperbolic functions. Using the formula for the derivative of an inverse hyperbolic function, the resource finds the derivative of a more complex function. The complex function is comprised of a...

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...