Curated OER
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. ...
Curated OER
Multivariable Calculus: Multiple Integration
For 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...
Curated OER
Improper Integrals
In this improper integral worksheet, students compare improper integrals, identify the convergence or divergence, and sketch pictures of answers. This four-page worksheet contains approximately ten problems.
Curated OER
Basic Calculus II: Numerical Integration
In this numerical integration instructional activity, students approximate the value of an integral using the methods taught in the class. They use left-hand Riemann sums, right-hand Riemann sums, the midpoint method and the trapezoidal...
Curated OER
Worksheet 14: Integrals
In this integral activity, students evaluate integrals and determine the volume of given polygons bounded by graphs. This three-page activity contains approximately twenty multi-step problems.
Curated OER
Lesson Plan on School Integration in Boston And Nantucket
Students use primary sources and timelines to begin a study of school integration; students watch "Nantucket Rock of Changes," and compare the case of Eunice Ross with the story of the Little Rock Nine.
Curated OER
Numerical Methods of Integration
Students review Riemann Sums with rectangles, used to approximate the area under a curve. They listen as the teacher introduces the Trapezoidal Rule to approximate the area under a curve. Students use Simpson's Rule to find the area...
College Board
Approximation
Sometimes close enough is appropriate. A curriculum document for AP® Calculus examines the importance of providing approximation questions throughout the course. It looks at approximating derivative values, approximating definite...
EngageNY
What Is Area?
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and upper...
CK-12 Foundation
Method of Cylindrical Shells
Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...
Virginia Department of Education
The Modern Model of Atomic Structure
The difference between atomic mass and atomic number can be confusing for some young chemists. Help your class better understand the concepts by allowing them to sketch an atom on paper and then discuss their experience. Upon completion...
Curated OER
Worksheet 15: Integrals
In this integral worksheet, students identify improper integrals as convergent or divergent. They compute the area and volume of regions bounded by a graph. This two-page worksheet contains approximately twenty-five problems. This is...
National Security Agency
Money Maters: Integers are Integral!
A thoroughly-written lesson plan and a plethora of worksheets about integers comprise this resource. Neophyte number crunchers learn to recognize integers, add and subtract them, and apply the concepts to the designing of a personal...
Curated OER
Worksheet 24
In this math worksheet, students find how a 1 kg bucket filled with 10 kg of water is lifted 10 m into the air. They set up an integral which gives the total amount of work done on the bucket and the water used for lifting it.
Curated OER
Simpson's Rule
In this integral learning exercise, students use the Simpsons's Rule for evaluating integrals. They use different methods to calculate integrals and compare the results. This eight-page learning exercise contains approximately 16...
Curated OER
Worksheet 18 - Spring 1996
In this math worksheet, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
Curated OER
Numerical Analysis: Dimensional Vectors
In this dimensional vector instructional activity, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page instructional activity contains approximately...
Curated OER
Calc 3 Review Problems - Function
In this integral worksheet, students evaluate integrals, integrate functions, find directional derivative of a function, identify the maximum and minimum values of a function, and compute Cartesian coordinates. This two-page worksheet...
Curated OER
Complex Analysis: Applications of Cauchy-Goursat Theorem
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.
Curated OER
Simpson's Rule
In this Simpson's Rule worksheet, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This nine-page...
Curated OER
Divergence and Convergence
In this divergence and convergence worksheet, students complete a comparison test for improper integrals. This four-page worksheet contains approximately ten problems.
Curated OER
Worksheet 3: Functions & Limits
In this function worksheet, students determine the limits and compute integrals. This two-page worksheet contains approximately ten problems.
Curated OER
Using Riemann Sums
In the Riemann sums worksheet, students use Riemann sums to estimate the area under a curve. They calculate intervals and subintervals. Students create a graph picturing the intervals. This seven-page worksheet contains explanations...
Curated OER
Gateway Arc Length
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.