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MT-A315 Introduction to Linear Algebra: Worksheet 5.1
In this linear algebra activity, students identify the determinant of a matrix. They predict the determinant of a matrix and describe how they are related. Students answer three multi-step problems.
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Solving Mysteries!
Students solve a mystery. In this lesson on journalism, students learn how writing an article is like solving a mystery by answering the 5 "W" questions. Students solve a mystery provided to them on an attached worksheet.
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Drawing Objects To Match Number Words
In this kindergarten math worksheet, students will draw the correct number of five different types of objects to match the number words. Objects include a heart and happy face.
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Complex Analysis: Using Laurent Series
In this Laurent series instructional activity, students use the Laurent Series to evaluate residues. This two-page instructional activity contains five equations.
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Complex Analysis: The Complex Logarithm
In 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 instructional activity, students compute line integrals under given conditions, define vector fields, and explore gradient fields, as well as a potential function. This two-page instructional activity contains five...
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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 activity, students find the extrema of a function under given conditions. They find the maximum and minimum values of functions. This two page activity 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 worksheet, students calculate the derivative of given problems and find the equation of the tangent plane to an equation. This two-page worksheet contains five problems.
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Linear Systems: Projections
In 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
For 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.
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Introduction to Infinite Series
In this infinite series worksheet, students explore the pattern in a series of numbers. They solve a sequence of partial sums and identify the limit. This two-page worksheet contains explanations, examples and approximately five problems.
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Stability of Equilibrium Values
In this stability of equilibrium values worksheet, students explore equilibrium solutions and classify them as asymptotically stable or not asymptotically stable. They justify their reasoning. This four-page worksheet contains five...
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Higher Order Taylor Polynomials
In this polynomial activity, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. This...
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Introduction to the S-I-R Model of Disease
In this introduction to the S-I-R Model, students explore a scenario concerning the spread of an infectious disease. They use the S-I-R model to determine the number of people infected, how many will recover, etc. Students write an...
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Implicit Differentiation
In this implicit differentiation worksheet, students use the microscope approximation method and Euler's method to approximate values at a given point. This two-page worksheet contains five problems.
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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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