College Board
2006 AP® Calculus AB Free-Response Questions
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
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Complex Analysis: Improper Integral
In 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...
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Complex Analysis: Contour Integration
In this contour integration worksheet, students integrate formulas, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
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Complex Analysis: Residues and Real Integrals
In this integral activity, students evaluate contour integrals and real integrals. This two-page activity contains approximately three problems. Some explanations and definitions are provided.
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MVT for Integrals
Students identify the meaning of the Mean Value Theorem. In this calculus lesson, students solve problems using the definite integral. They calculate the average value of a function.
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Complex Analysis: Examples of Contour Integration
In this contour integration instructional activity, students evaluate an equation, sketch the contour and evaluate the integral. This two-page instructional activity contains approximately eight problems.
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Complex Analysis: Applications and Implications of Cauchy's Integral Formula
In this integral worksheet, students explore various theorems used to evaluate integrals. This two-page worksheet contains theorem explanations and two problems.
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Changing Order of Integration of a Triple Integral
In this math activity, students practice writing the 5 integral solutions. Then they sketch pictures of the volume that is integrated.
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Integration and the "Barrier Breakers": Black Baseball 1945-1960
Learners explore integration of Major League Baseball, identify important individual baseball players who played key roles in integration, and analyze historical information through charts, graphs, and statistics.
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Numerical Integration
In this math worksheet, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.
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Math 312 Spring 98: Cauchy's Integral Formula
In this integral formula activity, students find the area of odd shapes by using the contour integration formula. They compute the area enclosed by an ellipse. This two-page activity contains three problems.
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Math 212: Path Integrals
In this integral worksheet, students identify a vector field and explore line integrals. Students use the Fundamental Theorem for path integrals to solve problems. This two-page worksheet contains three problems.
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Integrating Functions
In this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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Improper Integrals
In this improper integrals worksheet, pupils determine whether each integral diverges or converges. They answer 8 questions and must justify each answer with a mathematical proof.
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Seventeen Various Integral Problems
In this integrals worksheet, students solve seventeen integral problems. One problem covers completing the square, one curve length, one partial fraction decomposition, one Simpson's rule, and several are trigonometric integrals.
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Complex Analysis: Theorems Following Cauchy's Integral Formulas
In 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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Integrated Algebra University of New york Regents High School Examination
In this high school examination worksheet, students solve thirty-nine integrated math problems in preparation for the New york Regents exam. the problems are comprehensive and vary in difficulty.
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Integrals
In this Calculus worksheet, students evaluate problems with integrals that require the use of the trapezoidal rule, Simpson’s rule and decomposition into partial rations. The two page worksheet contains sixteen problems. ...
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Barehands Integration
In this calculus activity, students use integration to calculate the solution of functions. They use the correct notation and formula to calculate where the derivative is constant. There are 10 questions.
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Integrated Algebra Final Exam
In this integrated algebra worksheet, students solve problems involving system of equations, quadratic equations, inequalities, surface area, and radicals. This 28-page worksheet contains 39 multi-step problems.
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And Others?
Having integrity is often easier said than done. After completing the first lesson in a unit on being true to themselves and their values, learners engage in a discussion about three different people in difficult situations that call for...
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The Big Bang-Cosmic Expansion
In this Big Bang worksheet, 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 integral for time,...
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Performance-based Assessment for Analog Integrated Circuit Competencies
For this electronics worksheet, students build a circuit based on schematic diagram and answer 33 problems about it. They make prediction before testing and compare it with the actual value.
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Fuel Level in a Spherical Tank
In this spherical tanks and fuel level worksheet, students are given a diagram showing the effects of gravity or acceleration on the level of fuel in a spherical tank. Students solve 3 problems including finding the general formula for...
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