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Properties of the Definite Integrals
In this math worksheet, learners investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.
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Examples of Integral Exchange Using Substitution
In this math learning exercise, students find the solutions to the problems using the operation of substitution. Then they pay attention to relating this while further evaluating integrals.
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Applying the Fundamental Theorem of Calculus
In this fundamental theorem worksheet, students identify the anti-derivative and write equations as an explicit function. This two-page worksheet contains two multi-step problems.
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Properties of Definite Integrals
For this definite integral worksheet, students evaluate the properties of definite integrals. Students graph their answers. This two-page worksheet contains two multi-step problems.
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Riemann Sums and Error Control
In this Riemann sums learning exercise, students use the Riemann sums to approximate a given area. This two-page learning exercise contains two multi-step problems.
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Accumulation Functions and Definite Integrals
In this accumulation functions learning exercise, students write expressions that involve the definite integral of a given function. They use a graph to find given values of areas of the line. Students follow guiding questions to...
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General Solution to Ax=b
In this math worksheet, learners practice finding the vector spaces associated with the rectangular matrices. Then they find the complete solutions to the given equation using a matrix.
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Integration By Parts
in this math worksheet, students read the example for the product rule. Then they apply the rule individually or in groups to the following integrals.
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Basic Calculus II: Numerical Integration
In this numerical integration worksheet, 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 rule.
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Basic Calculus II: Techniques of Integration
In this differentiation worksheet, students select from a list of differentiation rules which one they have to use to find the derivative of the given equation. They evaluate one integral exactly.
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Basic Calculus II: Quiz 7
In this improper integrals worksheet, students explain the reasons each of three integrals may be considered improper. They evaluate each by determining if it converges to a number or diverges.
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Introduction to Substitution
in this math worksheet, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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Linear Systems; Permutations and Transposes
In this permutations activity, students explore a permutation matrix, symmetric matrix, and the properties of the transpose. This three-page activity contains six problems.
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Identifying Similar Triangles
In this identifying similar triangles worksheet, 10th graders solve 6 different types of problem that include identifying and comparing similar triangles. First, they identify the three ways that determine whether two triangles are...
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Elimination: Using Matrix Operations
In this math worksheet, students practice using a matrix with the method of elimination to find the solutions. They practice using matrix multiplication.
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Linear Systems: Eigenvalues and Eigenvectors
For this eigenvalues worksheet, students find the eigenvalues and eigenvectors of a given matrix. This two-page worksheet contains examples, explanations and two practice problems.
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Limits and Continuity
In this limit worksheet, student evaluate functions and determine the continuous limits. This one-page worksheet contains three multi-step problems.
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Linear Systems: Applications of Eigenvalues and Eigenvectors
In this eigenvalue and eigenvector activity, students find the eigenvalue and eigenvector of a given matrix. This two-page activity contains four problems.
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Dimensions of Subspaces
In this math worksheet, students practice to find the dimensions of subspaces. They also find the solutions to the systems of equations using the matrices.
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Using Linear Algebra to Solve Systems of ODE's
In this math worksheet, students examine the coupled differential equations. Then they find the eigenvalues and eigenvectors for the 2x2 matrix.
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Math 214 Quiz 10 - Linear Systems
In this linear systems worksheet, students find the parameter of a given matrix, and solve linear systems. This two-page worksheet contains four problems.
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Linear Systems Quiz 3
In this math worksheet, students practice finding the solutions to the linear systems. Then they execute the Gaussian elimination process to complete the quiz.
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Quiz 1/ Operations on Vectors and Matrices
In this math learning exercise, students examine the operations of vectors and matrices. Then they use the operations to compare the vectors that are parallel and perpendicular.
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Linear Systems Quiz 6
In this math worksheet, students practice finding the solutions for the linear systems in the form of a quiz. They focus upon finding the eigenvalues and eigenvectors of a matrix.