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Complex Analysis: Residue Theorem
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.
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Multivariable Calculus: Green's Theorem
In this Green's Theorem instructional activity, students compute the value of the line integral. This two-page instructional activity contains explanations, examples, and three problems to solve.
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Multivariable Calculus: Change of Variables Theorem
In this change of variables worksheet, students complete integral problems through the use of Jacobi's Theorem. They use various methods to convert from Cartesian coordinates to polar, spherical and cylindrical coordinates. This...
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Optional Power Series Problems
For this power series worksheet, students use substitution, polynomial multiplication, polynomial division, differentiation, and integration to find numbers in a series. They write each Maclaurin series as a simple function. This...
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Worksheet 2: Evaluating Functions
For this function worksheet, students evaluate sums, estimate the area of the region between graphs, estimate the volume of a hemisphere, and use subintervals and the limit definition integrals to evaluate functions. This two page...
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Challenge Sheet 2: Evaluate Functions
In this function worksheet, students evaluate integrals using the fundamental theorem of calculus. They identify the maxima and minima on intervals. This one-page worksheet contains seven problems.
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Challenge Sheet 7: Area and Cross-Sections
In this area learning exercise, students set up integrals which evaluate the area of a region bounded by graphs. they use vertical and horizontal cross-sections. This two-page learning exercise contains seven multi-step problems.
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Discussion Sheet 6: Exponential Growth
For this exponential growth worksheet, students integrate problems and determine exponential growth. This one-page worksheet contains twelve problems.
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Discussion Sheet 7: Exponential Growth
In this exponential growth learning exercise, students determine the population of a country. They set up an integral which represents the mass of an abject and determined the total accumulation of snow in a region. This one-page...
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Quiz 1: Sums
In this sums worksheet, students evaluate sums. They use the limit definition of the definite integral to evaluate a function. This two-page worksheet contains four multi-step problems.
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Discussion Sheet 9: Volume and Area
In this volume and area worksheet, students find the volume and area of three-dimensional figures. They consider regions bounded by graphs, use integration to derive a formula, and use the disc and shell methods for volume. This...
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Area of Cross-Sections
In this area worksheet, students find the area of regions bounded by graphs. They set up integral equations for determining the vertical cross-section and the horizontal cross-section of a given figure. This one-page worksheet contains...
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Studying Checks
While on-line banking and electronic payments seem to be the way of the future, next-generation wage earners still need to understand the details of check writing. Here the focus is on the details of the check including what the...
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Logic Plus Math Equals Critical Thinking
Logic problems can be an integral part of the school day.
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Equation of State Problem Set
Students demonstrate their understanding of the equation of state by computing the gas constant from air properties. They use online research tools and apply integrated math problem-solving strategies to solve problems outside the realm...
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Yellow Pages Ad-dition
Students determine the revenue generated by sample pages from the Yellow Pages. They discuss the value of advertising a business in this venue. They use the local telephone directory and some fictitious ad rates to lead their inquiry.
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Perfumania
Students identify various geometric shapes. Apply the given formulas to determine the volume of these shapes. Design their own container to conform to specifications provided. Use their knowledge of volume formulas and shapes to compute...
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Decimal Baseball
Young mathematicians represent recorded information in decimal form. In this decimals lesson, learners play a "classroom friendly" basketball game in which pupils take 10 shots. Number of shots made out of 10 is recorded as a fraction...
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Task: Miniature Golf
"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...
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The Class Trip
Mrs. Moore's class is trying to earn money for a trip to the science museum, but how much more do they need? Solve this problem with your own class as they develop their ability to model real-life situations algebraically. As an added...
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Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
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Access Ramp
Just about every public building that your students are familiar with has an access ramp which complies with ADA requirements. As it turns out, designing such a ramp is an excellent activity to incorporate slope, the Pythagorean Theorem,...
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Task: Range of Motion
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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