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
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
Average Value of a Function
In this value learning exercise, students determine the average amount of money in an account at various period of time. This one-page learning exercise contains one multi-step problem. An example and explanation is provided.
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
Convergence Tests for Infinite Series
In this convergence worksheet, students explore different tests for convergence of an infinite series of numbers. This six-page worksheet contains twelve multi-step problems.
Curated OER
Practicing Integration by Substitution
In this integration worksheet, students evaluate integrals using integration by substitution. This two-page worksheet contains explanations, examples and six problems to solve.
Curated OER
Discussion Sheet 5: Limits and Sequences
In this limits and sequences worksheet, students determine the limits of given sequences and convert triple integrals into rectangular and cylindrical coordinates. They sketch graphs in a three dimensional space. This one-page...
Curated OER
Discussion Sheet 4: Integrals
In this integral instructional activity, students sketch solids in three dimensional space, determine the coordinates, evaluate the integrals and identify the moment of inertia. This one-page instructional activity contains six...
Curated OER
Discussion Sheet 6: Convergence or Divergence
In this convergence or divergence worksheet, students perform tests for convergence or divergence. They estimate the sum in a series and determine the value of the convergent series. This one-page worksheet contains three problems.
Curated OER
Improper Integrals
In this improper integral activity, students evaluate the improper integral, draw pictures of improper integrals, and identify the limits. This four-page activity contains fifteen 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
Evaluating Definite Integral Using Riemann Sums
In this integral worksheet, students use the Riemann Sum to estimate the value of a function. This two-page worksheet contains two problems.
Curated OER
Evaluating Definite Integral Using Anti-Derivatives
In this integral worksheet, students compute the exact value of given functions. They specify the definite integral and antiderivatives. This two page worksheet contains five multi-step problems.
Curated OER
Improper Integrals
In this integral worksheet, students determine the convergence or divergence of a given integral. This two-page worksheet contains two problems.
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
Calc 2 Review Problems - Integral
In this integral worksheet, students review finding integrals by using various methods from Biller, Blaski, Fuentes, Juarez, Piazza, Salazar, Smith, and Youn. This two-page worksheet contains approximately 16 problems.
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
Math 312 Spring 2004: Complex Integration
In this complex integration worksheet, students compute the value of the integral, sketch the contour and identify the parameterizations used. This two-page worksheet contains approximately five problems.
Curated OER
Exploration 3: Introduction to Definite Integrals
In this integral learning exercise, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page learning exercise contains approximately 40...
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
Complex Analysis: Cauchy's Integral Formula and Integral Examples
In this integral formula activity, students examine Cauchy's formula and higher derivatives of analytic functions. They use this provided information to solve eight problems.
Curated OER
Math 312 Spring 98. Contour Integration
In this contour integration worksheet, students compute the value of integrals, sketch the contour and list the parameterization used. This two-page worksheet contains three problems.
Curated OER
Complex Analysis: Cauchy's Integral Formula
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...
Curated OER
Math 312 Spring 2004 Bonus Quiz. Integrals
In this integral instructional activity, students derive a formula for the value of a contour integral. They explain the method of choice. This two-page instructional activity contains five problems.