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Multivariable Calculus: Dot Product

For Students Higher Ed
In this dot product worksheet, students identify the properties of the dot product. They sketch vectors and obtain expressions for diagonals. This two-page worksheet contains examples and explanations with two problems.
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Multivariable Calculus: Introduction to Vectors

For Students 11th - Higher Ed
In this vector learning exercise, students find the length of vectors and the distance between two points. This two-page learning exercise contains examples, definitions, and explanations, as well as two problems.
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Multivariable Calculus: Euclidean Geometry

For Students Higher Ed
In this Euclidean geometry learning exercise, students determine if planes are parallel or perpendicular to each other. They identify the vector position. This two-page learning exercise contains definitions, examples and explanations...
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Multivariable Calculus: Parametric Equations of Lines and Planes

For Students 11th - Higher Ed
In this parametric equation worksheet, students find a parametric representation by using the vector formula. They find the equation of a plane passing through given points. This two-page worksheet contains examples, explanations and...
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Multivariable Calculus: Review of Linear Systems

For Students 11th - Higher Ed
In this linear system worksheet, students determine the point of intersection between two lines, they complete linear combination problems. This two-page worksheet contains four multi-step problems.
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Multivariable Calculus: Linear Systems

For Students 11th - Higher Ed
In this linear systems worksheet, students perform matrix multiplication. This two-page worksheet contains examples, explanations, definitions, and four problems.
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Multivariable Calculus: Vector Functions

For Students 12th
In this vector function instructional activity, 12th graders identify a helix and a smooth curve. They find the equation of the tangent line to a helical curve. This two-page instructional activity contains examples, explanations and...
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Multivariable Calculus: Linear Systems

For Students 12th - Higher Ed
In this linear system worksheet, students compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page worksheet contains examples, explanations, and three multi-step...
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Multivariable Calculus: Quiz 6

For Students Higher Ed
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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Multivariable Calculus: Bonus Quiz 6

For Students Higher Ed
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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Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem worksheet, students give antiderivatives of functions, find the area under a curve, and evaluate continuous functions. This two-page worksheet contains ten problems.
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Applying the Fundamental Theorem of Calculus

For Students Higher Ed
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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Basic Calculus II: Numerical Integration

For Students Higher Ed
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

For Students Higher Ed
In this differentiation learning exercise, 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

For Students Higher Ed
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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Basic Calculus: Extrema, and Optimization: Putting it all Together

For Students Higher Ed
In this extrema and optimization worksheet, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page worksheet contains two...
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Calculus Assignment: Limits

For Students 11th - Higher Ed
In this limit learning exercise, students evaluate limits on given equations. This two-page learning exercise contains 14 multi-step problems. Answers are provided on page three of the learning exercise.
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Calculus Review Worksheet

For Students 11th - Higher Ed
In this review worksheet, students evaluate given limits. They evaluate graphs. This four-page worksheet contains 27 multi-step problems. Answers are provided on pages three and four.
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Calculus Worksheet: Trig Limits

For Students 10th - 12th
In this trig limits worksheet, learners evaluate the limits of given equations. This two-page worksheet contains 14 multi-step problems. Answers are provided on page two.
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Sixteen Angle Pre-calculus Trig Problems

For Students 11th - Higher Ed
In this angle learning exercise, students solve ten multiple choice and six free response questions.  These precalculus questions cover angles, radians, and right triangles.
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Matchboxes

For Students 12th
In this calculus worksheet, 12th graders fill in rows of boxes so that the boxes with connecting lines have matching letters.  This is a review of first semester calculus vocabulary. 
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Partial Fraction Review Problems

For Students Higher Ed
In this college Calculus worksheet, students determine the value of the integrals using partial fractions.  The one page worksheet contains six problems.  Answers are not included. 
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Math 305 Handout 2

For Students Higher Ed
In this college level calculus worksheet, students determine if the given equation is linear and determine the order of the equation.  The one page worksheet contains forty-three problems.  Answers are provided. 
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Curve Sketching

For Students 11th - 12th
In this calculus instructional activity, students identify the point of increase and decrease on a graph. They analyze the curve of a graph using the derivative. There are 10 open questions about derivatives.

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