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Math 312. Harmonic Functions
In this harmonic function activity, students use the Cauchy-Riemann equations to find the imaginary part of the function. They explore the harmonic conjugate and solve a 2-dimensional Laplace equation. This two-page activity contains...
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Math 312 Spring 98 - Complex Exponential Functions
In this function learning exercise, students solve complex exponential and logarithm functions. This two-page learning exercise contains approximately six problems.
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Math 312 Spring 98 - Cauchy's Residue Theorem
In this Cauchy's Residue Theorem, students use the theorem to solve given functions. They evaluate integrals. This two-page worksheet contains two problems.
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Math 312 Spring 98: Cauchy's Integral Formula
In this integral formula worksheet, students find the area of odd shapes by using the contour integration formula. They compute the area enclosed by an ellipse. This two-page worksheet contains three problems.
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Math 312 Spring 98. Contour Integration
For 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.
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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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Multivariable Calculus Quiz 9
In this math activity, learners 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 instructional activity, students 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 learning exercise, 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 worksheet students evaluate integrals. Students explore double and triple integrals. This two-page worksheet contains three problems.
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Math 212: Path Integrals
In 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
In 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
For 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 worksheet, learners 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 worksheet, students practice writing the 5 integral solutions. Then they sketch pictures of the volume that is integrated.
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