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Accumulation Functions and Definite Integrals
In this accumulation functions worksheet, 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 determine the...
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Some Elementary Derivative Formulas and Rules
In this derivative formula learning exercise, students solve problems concerning the derivative of constant functions and linear functions. They explore the derivative of the cosine and sums and differences functions. This six-page...
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Interpreting Reaction Coordinates
In this reaction coordinates worksheet, students are given a diagram of the reaction coordinate for a reversible catalyzed and uncatalyzed reaction. Students answer eighteen questions related to the diagram.
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Limits of Functions as Undefined X-Values and L'Hopital's Rule
In this limits worksheet, students apply L'Hopital's rule to solve four limits problems. They solve a total of eleven short answer problems. The final seven problems ask students to find the asymptotes of functions.
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Rate Equation
In this rate equation worksheet, students use Euler's method to estimate the value of rate equations. They use the piecewise linear function approximation to determine the solution of an initial value problem. This two-page worksheet...
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Linear Systems: Applications of Determinants
In this determinant activity, students explore determinants, area and volume. This two-page activity contains explanations and examples. It provides two problems for students to solve.
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Derivatives of Elementary Functions
In this derivatives worksheet, students sketch the graphs of four functions. They write the derivatives of eight functions. Students complete two derivative tables.
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Applications of Derivatives: General Rules for Optimization
In this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.
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Accumulation Functions as Antiderivatives
In this accumulation functions worksheet, students describe the graph of an accumulation function for a constant function. Students describe the link between the slope of the graph of the accumulation function and the value of the function.
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Graphing Accumulation Functions
In this accumulation function worksheet, students find the graphical relationship between two functions. They describe the relationships between the graphs of a function when accumulation begins at 0 and at 2.
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Linear Systems: Graphical Interpretation of Vectors and Linear Systems
In this interpretation of vectors and linear systems worksheet, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of vector...
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Linear Systems: Methods of Computing Determinants
In this determinant activity, students explore the properties of the determinant. They compute determinants by using the co-factor method, the "big formula" and the product of pivots. This two-page activity contains explanations,...
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Learning the Anti-differentiation Process
In this math worksheet, students examine the data table and attempt to fill in the empty boxes for the functions. They are asked to list the pattern found there.
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Linear Systems: Identifying Pivots and Multipliers
In this pivot worksheet, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page worksheet contains examples, explanations, and approximately ten problems.
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General Solution to Ax=b
In this math instructional activity, students 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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Linear Systems Class Overview
In this math instructional activity, students find the solutions to the problems using the linear systems of equations. The sheet is a list of review topics.
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Linear Systems: Matrix Operations
In this matrix operations worksheet, students find the dot product of matrices. They use the elimination method to solve linear equations. This two-page worksheet contains explanations, examples and three problems.
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Comparing Improper Integrals
In this math worksheet, students compare the improper integrals. They determine if each integral converges or diverges. The improper integral test is read and applied.
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Introduction to Accumulation
In this math worksheet, students work in groups to estimate the area of the ellipses using the grids. Then they estimate the arclengths of the ellipses.
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Properties of the Definite Integrals
In this math instructional activity, students investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.
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Complex Analysis: Harmonic Functions
In this harmonic function worksheet, students explore harmonic functions and construct a harmonic conjugate. This three-page worksheet contains three problems, with explanations and examples.
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Complex Analysis: Polynomial Equations
For this polynomial equation worksheet, students explore real fractional powers of complex numbers. This three-page worksheet contains examples, explanations and approximately seven problems.
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Linear Systems: Orthogonality of Subspaces
In this subspace worksheet, students decompose a vector into two orthogonal pieces, one for the nullspace and another for the row space of a matrix. This two-page worksheet contains explanations, examples, and three problems.
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Linear Systems; Permutations and Transposes
In this permutations worksheet, students explore a permutation matrix, symmetric matrix, and the properties of the transpose. This three-page worksheet contains six problems.