Joseph W. Cutrone

Dr. Joseph Cutrone received his PhD in Mathematics from Johns Hopkins University. His publications and research interests are in higher dimensional algebraic geometry. Since 2006, he has taught mathematics at all levels, both online and in the classroom, with different positions at Johns Hopkins, Northwestern University, Towson University, and Goucher College.

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Algebra: Elementary to Advanced - Functions & Applications (Coursera)

Dec 13th 2021
Algebra: Elementary to Advanced - Functions & Applications (Coursera)
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After completing this course, students will learn how to successfully apply functions to model different data and real world occurrences. This course reviews the concept of a function and then provide multiple examples of common and uncommon types of functions used in a variety of disciplines. Formulas, domains, [...]
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Algebra: Elementary to Advanced - Equations & Inequalities (Coursera)

Dec 13th 2021
Algebra: Elementary to Advanced - Equations & Inequalities (Coursera)
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This course is intended for students looking to create a solid algebraic foundation of fundamental mathematical concepts from which to take more advanced courses that use concepts from precalculus, calculus, probability, and statistics. This course will help solidify your computational methods, review algebraic formulas and properties, and apply these [...]
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Algebra: Elementary to Advanced - Polynomials and Roots (Coursera)

Dec 13th 2021
Algebra: Elementary to Advanced - Polynomials and Roots (Coursera)
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This course is the final course in a three part algebra sequence, In this course, students extend their knowledge of more advanced functions, and apply and model them using both algebraic and geometric techniques. This course enables students to make logical deductions and arrive at reasonable conclusions. [...]
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Calculus through Data & Modelling: Integration Applications (Coursera)

Dec 13th 2021
Calculus through Data & Modelling: Integration Applications (Coursera)
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This course continues your study of calculus by focusing on the applications of integration. The applications in this section have many common features. First, each is an example of a quantity that is computed by evaluating a definite integral. Second, the formula for that application is derived [...]
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Calculus through Data & Modelling: Series and Integration (Coursera)

Dec 13th 2021
Calculus through Data & Modelling: Series and Integration (Coursera)
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This course continues your study of calculus by introducing the notions of series, sequences, and integration. These foundational tools allow us to develop the theory and applications of the second major tool of calculus: the integral. Rather than measure rates of change, the integral provides a means [...]
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Calculus through Data & Modelling: Vector Calculus (Coursera)

Dec 13th 2021
Calculus through Data & Modelling: Vector Calculus (Coursera)
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This course continues your study of calculus by focusing on the applications of integration to vector valued functions, or vector fields. These are functions that assign vectors to points in space, allowing us to develop advanced theories to then apply to real-world problems. We define line integrals, which [...]
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Calculus through Data & Modelling: Techniques of Integration (Coursera)

Dec 13th 2021
Calculus through Data & Modelling: Techniques of Integration (Coursera)
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In this course, we build on previously defined notions of the integral of a single-variable function over an interval. Now, we will extend our understanding of integrals to work with functions of more than one variable. First, we will learn how to integrate a real-valued multivariable function over different [...]
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Calculus through Data & Modeling: Differentiation Rules (Coursera)

Dec 6th 2021
Calculus through Data & Modeling: Differentiation Rules (Coursera)
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Calculus through Data & Modeling: Differentiation Rules continues the study of differentiable calculus by developing new rules for finding derivatives without having to use the limit definition directly. These differentiation rules will enable the calculation of rates of change with relative ease the derivatives of polynomials, rational [...]
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Calculus through Data & Modeling: Precalculus Review (Coursera)

Dec 6th 2021
Calculus through Data & Modeling: Precalculus Review (Coursera)
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This course is an applications-oriented, investigative approach to the study of the mathematical topics needed for further coursework in single and multivariable calculus. The unifying theme is the study of functions, including polynomial, rational, exponential, logarithmic, and trigonometric functions. An emphasis is placed on using these functions to model [...]
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Calculus through Data & Modeling: Limits & Derivatives (Coursera)

Dec 6th 2021
Calculus through Data & Modeling: Limits & Derivatives (Coursera)
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This first course on concepts of single variable calculus will introduce the notions of limits of a function to define the derivative of a function. In mathematics, the derivative measures the sensitivity to change of the function. For example, the derivative of the position of a moving object with [...]
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