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Math 224: Review of Linear Systems
In this linear systems learning exercise, students find the intersection of two planes, and identify solutions for a linear equation. This two-page learning exercise contains five problems.
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Quiz 8: Multivariable Calculus
Students list all equations needed to solve a three variable equation using the Method of Lagrange, after first signing an honor pledge to promise that they have followed the rules on the first page. They solve each equation, telling the...
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Multivariable Calculus Quiz 9
In this math activity, students practice the calculus problems that involve integrals. Then they use the rules to complete the quiz by showing all the work for the two problems.
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Multivariable Calculus Quiz 7
In this math worksheet, learners practice using the concept of multivariable optimization. They find the maximum and minimum values of the surface z.
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Multivariable Calculus: Quiz 6
In this multivariable chain rule worksheet, students find the derivative of four multivariable functions. They make the change of variables when given the functions.
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Math 212: Constrained Multivariable Optimization
In this optimization worksheet, students solve problems using the method of Lagrange. They identify the points and distance from the origin in an equation. This two-page worksheet contains three problems.
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Math 212: Multiple Integration
In this integration learning exercise students evaluate integrals. Students explore double and triple integrals. This two-page learning exercise contains three problems.
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Math 212: Path Integrals
For this integral worksheet, students identify a vector field and explore line integrals. Students use the Fundamental Theorem for path integrals to solve problems. This two-page worksheet contains three problems.
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Multivariable Calculus: Bonus Quiz 6
For this gradient operator and gradient fields worksheet, students determine if two vectors are gradient fields. They solve for the appropriate scalar functions of a vector variable. Students show that the gravitation al force exerted on...
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Multivariable Calculus/ Method of LaGrange
In this math worksheet, students write down the three equations which need to be solved in order to maximize P subject to the constraint.
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Approximating a Multivariable Function
In this math learning exercise, students practice approximating the multivariable functions. They also complete the two problems in the form of a quiz.
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Changing Order of Integration of a Triple Integral
In this math activity, students practice writing the 5 integral solutions. Then they sketch pictures of the volume that is integrated.
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Multivariable Calculus/ Bonus Quiz 10
In this math worksheet, students investigate the calculus concept of multiple integration in the form of a quiz. They find the correct value for each integration.
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Multivariable Calculus/ Bonus Quiz 11
In this math worksheet, students practice finding the solutions to the problems that focus upon the differential operators of vector fields.
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Math 212: Vectors
In this vector worksheet, students find the coordinates of a midpoint, compute the position of vectors, and write a vector equation. This two-page worksheet contains four problems.
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Math 212: Dot Product and Cross Product
In this dot product worksheet, students consider vectors, find the value of an angle, and confirm the area of a given parallelogram. This two-page worksheet contains three problems.
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Math 212: Review of Linear Systems
In this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page worksheet contains four problems.
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Multivariable Calculus/ Bonus Quiz 4, Partial Derivatives
In this math worksheet, students practice solving the problems that focus upon the concept of partial derivatives. The problems are in the form of a quiz.
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Math 212: Limits of Multivariable Function
In this multivariable function worksheet, students compute the limits of given functions and determine if a limit exists. This two page worksheet contains three problems.
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Math 212: Planes
In this planes worksheet, students consider the position of given vectors and find the vector equation of a plane. They identify the points that lie on a plane and determine the equation of a line through given points. This two-page...
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Multivariable Calculus Bonus Quiz 3, Determinants
in this math worksheet, students practice finding the determinant for each matrix. Then they use the solutions to develop a hypothesis for the determinants.
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Math 212: Application of Partial Derivatives
In this partial derivatives worksheet, students find the equation of the tangent plane to a given surface, they compute functions, and sketch graphs of a tangent plane. This two-page worksheet contains three problems.
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Math 212: Planes
In this plane worksheet, students find the midpoint of a line, determine points on a plane, and use the cross product to find an equation with given parameters. This two-page worksheet contains three problems.
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Evaluating Definite Integrals Using Accumulation
In this integral worksheet, students sketch functions and use their graph to evaluate functions. This two-page worksheet contains four multi-step problems.