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Linear Functions of Two Variables
In this linear function worksheet, students write linear functions, in intercept form, that satisfy given conditions. They find the local linearity for a function. This five-page worksheet contains examples, explanations, and six...
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Five Volume of Pyramids Problems
In this pyramids worksheet, learners calculate the volume of pyramids in four multiple choice and one free-response problem. The solutions are provided.
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Mathematical Modeling and constant Rate Equations
In this rates worksheet, students solve five story (word) problems related to rate and time. In two of the problems students are directed to create a graph of the problem.
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The Derivative
In this derivative worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...
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The Chain Rule and Applications
In this chain rule worksheet, students use the chain rule to differentiate compositions, and determine the value of the limits. They give reasons justifying each step of the chain theorem. This six-page worksheet contains theorems,...
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Complex Analysis: Graphical Representations
In this graphical representation worksheet, students draw an Argand diagram depicting two complex numbers in a complex plane. They draw vectors to represent complex numbers. This two-page worksheet contains five equations to solve.
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Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors instructional activity, students explore the geometrical appearance of given problems, determine if vector subtraction is commutative and graph a system of equations. This three-page...
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Numeral Analysis: Introduction To Fixed Point Iteration
In this fixed point iteration worksheet, students use given theorems to determine converged functional iteration. This six-page worksheet contains five problems. Explanations and examples are provided.
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Basic Calculus II: Fundamental Theorem of Calculus
In this fundamental theorem instructional activity, students find the antiderivative of a function. This two page instructional activity contains five multi-step problems.
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Complex Analysis: Using Laurent Series
In this Laurent series worksheet, students use the Laurent Series to evaluate residues. This two-page worksheet contains five equations.
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Complex Analysis: The Complex Logarithm
For this complex logarithm worksheet, students compute the log of given functions. They sketch the sketch the set of points and investigate the analyticity of the logs. This two-page worksheet contains approximately five problems, with...
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Multivariable Calculus: Conservative Vector Fields
In this vector field worksheet, students explore the properties of conservative vector fields. They solve problems for a given field. This two-page worksheet contains explanations, examples and five equations.
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Multivariable Calculus: Introduction to Path Integrals
In this path integral worksheet, students compute line integrals under given conditions, define vector fields, and explore gradient fields, as well as a potential function. This two-page worksheet contains five problems.
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Multivariable Calculus: Extrema of Multivariable Functions
In this multivariable function worksheet, students determine the extrema of multivariable functions, classify critical points, and solve functions with given boundaries. This two page worksheet contains five multi-step problems as well...
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Multivariable Calculus: Extrema of Multivariable Functions
In this multivariable functions worksheet, students find the extrema of a function under given conditions. They find the maximum and minimum values of functions. This two page worksheet contains examples, explanations, and five problems.
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Multivariable Calculus: Gradient Fields and Vector Fields
In this gradient field worksheet students draw vectors which correspond to the gradient. They sketch vector fields and identify functions as a vector field or gradient fields. This two-page worksheet contains approximately five...
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Multivariable Calculus: The Gradient
In this gradient worksheet, students explore the definition of differentiable and gradient. They find the tangent approximation of given situations, and determine the directional derivative. This two-page worksheet contains examples,...
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Multivariable calculus: Partial Derivatives
In this partial derivative learning exercise, students calculate the derivative of given problems and find the equation of the tangent plane to an equation. This two-page learning exercise contains five problems.
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Linear Systems: Projections
For this projection worksheet, students explore the intuition behind projections. They calculate the length using the norm and find the projection of a vector. This two-page worksheet contains approximately five problems.
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Linear Systems: Vector Spaces of a Matrix
In this vector space matrix worksheet, students decompose given vectors into two orthogonal pieces--one from the nullspace and another from the row space. this two-page worksheet contains examples and approximately five problems.
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Linear Systems: Matrix Operations
This matrix operations worksheet covers topics such as matrix addition, multiplication and properties such as associative, commutative and distributive. Students give examples and counter examples of matrix addition and multiplication. ...
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Linear Systems: The Matrix Inverse
In this matrix inverse worksheet, students identify a matrix which when multiplied by a coefficient matrix, it transforms into an identify matrix. They use the Gauss-Jordan elimination process to find an inverse matrix. This four-page...
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Linear Systems: The Nullspace Matrix and Rank
In this nullspace worksheet, students identify the rank and nullspace in a matrix. They compare the nullspace and column space of given matrices. This two-page worksheet contains examples, explanations and five problems.
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Part 3 of the Fundamental Theorem of Calculus
In this Fundamental Theorem of Calculus worksheet, students find the solution of given functions. This one-page worksheet contains five problems.