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Complex Analysis: Theorems Following Cauchy's Integral Formulas
For this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...
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Polar Regions Of Integration
In this polar regions learning exercise, students explore polar regions and determine what restrictions give stated results. This one page learning exercise contains four multi-step problems.
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Problem Solving Spiral and Intro to Research
Students work in teams to choose a design and use this to learn about the problem solving spiral. In this problem solving lesson plan, students state the steps of the spiral and discuss how it relates to their experiences.
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Using Formulas to Solve Problems
For this algebra worksheet, students rewrite word problems using algebraic expressions. They use formulas to solve problems. There are 22 questions with an answer key.
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The Big Bang-Cosmic Expansion
In this Big Bang instructional activity, students are given the equation used to determine the rate at which the universe is expanding according to the Big Bang theory. Students solve 4 problems using this equation. They find the...
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Timed Caluculus Exam
For this Calculus worksheet, 10th graders have 45 minuets to solve 6 multi-step problems involving velocity, integrals, and graphing.
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From Dust Balls to Asteroids
In this asteroids learning exercise, students solve six problems where they find the equation for the mass of asteroids, they find the equation for the growth of asteroids, and they integrate their answers.
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Sudoku Puzzle: Logs and Exponentials
In this logarithms and exponential activity, students solve 29 multiple choice problems. Students use their answers to solve a sudoku puzzle.
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Polynomials
In this polynomials worksheet, students solve and complete 16 different types of problems. First, they solve each of the fractional expressions shown. Then, students factor each polynomial and find their roots. In addition, they write an...
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Silly School vs. Super School
Students explore the importance of classroom jobs. They observe a puppet who is irresponsible and never gets her work completed and then discuss whether or not this puppet should be given a classroom job. As a class, they examine the...
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Multivariable Calculus: Multiple Integration
In this multiple integration worksheet, students identify the multiple integration of a given function. They evaluate integrals and identify their value. Students sketch a region of integration, write integrals in terms of rectangular...
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Challenge Sheet 5: Integration
In this integration worksheet, students use any method to integrate given problems. They identify a continuous function and determine the area of a triangle inscribed in a square. This one-page worksheet contains seventeen problems.
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Math 312 Spring 2004: Application of Cauchy Integral Formula
For this integral formula worksheet, students identify the value of the real integral and find the roots of the quadratic. Students explain the Cauchy Integral. This two-page worksheet contains five problems.
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Multivariable Calculus: Multiple Integration
In this multiple integration worksheet, students define coordinate rectangle, explore what it means to be "bounded on a set," and define the Riemann integral. They find the volume of a graph with specified boundaries and curves. ...
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Illegal Integrals
In this illegal integral worksheet, students identify illegal integrals, and indicate the limits of integration. This two-page worksheet contains twelve problems.
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More Integral Exchange: Integration By Parts
In this integration worksheet, students explore methods of integration and explore integration by substitution. This two-page worksheet contains examples, explanations, and six multi-step problems.
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Integration by Parts and/or Integration Substitution
In this integration by parts worksheet, students evaluate integrals by using parts. This two-page worksheet contains three problems.
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Integration by Substitution and Integral Exchange
In this integration worksheet, students evaluate integrals using a prescribed method. This two-page worksheet contains two problems.
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Complex Analysis: Contour Integration
In this contour integration worksheet, students integrate complex functions of a real variable. They sketch the contour and evaluate the integral. This two-page worksheet contains eight problems, as well as explanations and examples.
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Math 312 Spring 2004: Generalized Cauchy Integral
In this Cauchy integral learning exercise, students consider contour integrals that have been traversed different directions and evaluate it for various contours. This two-page learning exercise contains three problems.
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Multivariable Calculus: Introduction to Path Integrals
In this path integral instructional activity, students compute line integrals under given conditions, define vector fields, and explore gradient fields, as well as a potential function. This two-page instructional activity contains five...
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Complex Analysis: Contour Integration
In this contour integration instructional activity, students identify and explain theorems used with evaluating contour integrals. This two-page instructional activity contains ten problems.
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Complex Analysis: Applications of Residues to Real Integrals
In this real integral worksheet, students use the applications of residues to evaluate real integrals. This two-page worksheet contains four problems.
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Math 312 Spring 2004: Complex Integration
In this complex integration instructional activity, students use contour integration to find the area of odd shapes in a plane. This two-page instructional activity contains four multi-step problems.