Students begin the lesson by discussing how two people watching the same event can see it differently. After viewing an overhead transparency, they report on what they saw after being called upon. They discover that what we see is our...

In this residue learning exercise, students use the Laurent series formula to compute residues. This two-page learning exercise contains five problems.

In this residue theorem worksheet, students find the poles of a function classify all singularities of a function, and compute the residues of that function. This two-page worksheet contains explanations and examples, as well as five...

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.

For this harmonic function worksheet, students summarize the theorems on analyticity, differentiability and the Cauch-Rieman equation. They identify the characteristics of a harmonic function. This three-page worksheet contains...

In this harmonic function worksheet, students explore harmonic functions and construct a harmonic conjugate. This three-page worksheet contains three problems, with explanations and examples.

For this improper integral worksheet, students evaluate improper integrals and its limits. They evaluate improper integrals using contour integration and define the Cauchy Principal Value. This two-page worksheet contains explanations...

Students simplify complex radicals following a specific technique. In this math lesson, students simulate the process using several decks of cards. They explore real life applications of radicals.

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 integration worksheet, students evaluate contour integrals using the parameterization method. They describe various related theorems. This two-page worksheet contains approximately eight problems.

Review complex numbers, real numbers, irrational and rational numbers, integers, and whole numbers with math students. Use this guide as a reference sheet or handout. 

Guiding learners through two variable (complex) functions, this worksheet helps them perform complex arithmetic on 6 expressions. They iterate several functions with given starting points, determining whether each is a prisoner, escapee,...

To an English teacher, the only sound worse than nails on a chalkboard is a student using improper grammar. Make poor grammar a problem of the past with this extensive collection of worksheets that covers...

In this transition state theory activity, students read about chemical reactions and the theory for how chemical reactions proceed. They answer questions about the activated complex, the activation energy and the collision theory all...

Students design and build a foam core house which has a light in each room. They demonstrate an understanding of series, parallel, and complex circuits. They complete a worksheet, in complete, sentences expressing these electrical concepts.

Fifth graders investigate the nutrition in rice. In this rice lesson, 5th graders discover that rice is a great source of energy. Students compare foods to rice to see the differences in the nutritional value. Students classify foods in...

Students analyze parts of speech, sentence structure, and ver usage in this ten lesson unit on grammar. Through games, activities, assignments, and printed material, the concepts are supported and reinforced in a creative way.

In this recognizing types of sentences learning exercise, students read sentences and determine whether they are simple, compound, or complex. Students write eleven answers.

Young scholars investigate the countries and peoples involved in the Creek Indian War. They study the complex relationships between American and European settlers and the native Alabamians in the early 19th Century.

In this complex function worksheet, students identify the limits of complex functions. They explore the rules on limits and the point at infinity. This two-page worksheet contains examples and explanations, as well as seven problems.

In this complex variable worksheet, students find the harmonic function of a problem. This two-page worksheet contains explanations and examples, as well as three problems.

In this solving equations learning exercise, students solve seven equations that involve complex exponents. Answers as well as steps for solving each is given. Students use the check boxes to verify their answers.

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

Ninth graders explore mathematical properties through the use of an advertising jingle. They produce a commercial that is digitized and presented to the class. Students write a jingle that simplifies each property and helps classmates...