In this residue theorem activity, students find the maximum and minimum values of functions. They use Cauchy's Residue Theorem to evaluate integrals of functions. This two-page activity contains eleven multi-step equations.

In this Cauchy-Goursat Theorem, students sketch and classify domains. They evaluate integrals and explore the analytic function. This two-page worksheet contains approximately ten problems.

In this contour integration worksheet, students identify and explain theorems used with evaluating contour integrals. This two-page worksheet contains ten problems.

In this integral formula worksheet, students evaluate integrals. This worksheet contains examples and explanations of Cauchy's Integral Formula, as well as higher derivatives of analytical functions. There are nine problems on this...

In this Laurent series worksheet, students use the Laurent Series to evaluate residues. This two-page worksheet contains five equations.

In this applications of residues learning exercise, students evaluate complicated trigonometric integrals and use residues to evaluate the sum of an infinite list of numbers. This two-page learning exercise contains explanations and...

In this Cauchy-Riemann equation worksheet, students derive the Cauchy-Riemann equations by using the definition of the derivative function. This two-page worksheet contains seven problems.

In this exponential function worksheet, students map functions and sketch the image and pre-image sets. They evaluate limits and identify all solutions of a given function. This two-page worksheet contains three multi-step problems.

In this contour integration worksheet, students evaluate an equation, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.

In this transformation learning exercise, students find the linear transformation of equations and use the Mobius transformation to identify image boundaries. Students describe the images in each quadrant. This two page learning exercise...

In this independence of path worksheet, students evaluate contour integrals using anti-derivatives and the Cauchy-Goursat Theorem. This two-page worksheet contains four problems.

In this residue theorem, students classify singularities of functions and use the Cauchy Residue Theorem to evaluate integrals. This two-page worksheet contains approximately 14 problems.

In this linear transformation learning exercise, students find and sketch a series of transformations. They map images. This four-page learning exercise contains eleven problems, with examples and detailed explanations.

In this residue theorem activity, students evaluate functions, they express functions in terms of a Laurent series, and recall the infinite sequence. This four-page activity contains explanations and examples. It includes three...

In this real integral worksheet, students use the applications of residues to evaluate real integrals. This two-page worksheet contains four problems.

In this Cauchy Principal Value worksheet, students evaluate improper integrals. This three-page worksheet contains eight problems, as well as explanations and examples.

For this contour integration worksheet, students sketch the contour and evaluate the integral. This two-page worksheet contains approximately six problems.

In this branch cuts instructional activity, students define analytic branches of logs and use the Riemann surface for logs. They determine the domain of analyticity for the function. This two-page instructional activity contains six...

Discuss different techniques for finding the area of a geometric shape, with a great visual guide. Using a real life example, learners calculate the area of a rectangle and a square. 

After introducing the concept and formula for finding the area of a square, try this lesson plan. Fifth graders will use their prior knowledge to break apart various shapes in order to determine area. This lesson plan includes several...

Pupils research the web sites of state or federal executive departments, and prepare summaries of the department's functions, locations, and programs. They debate the role of interest groups in government.

Talking in front of others can be intimidating, especially when you aren't speaking in your native language. Put your English language learners at ease before a class presentation. They can follow these tips to give relaxed and effective...

Give classes confidence in completing the square with a resource that develops the process of completing the square of more complex problems, including fractions and values greater than one. It then uses quadratic modeling for...

Learners analyze real life jobs that involve math. They discuss jobs where math is used, and explore how math is important in many areas and research some of these jobs in the book "Paws in Jobland." They complete a worksheet with four...