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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Linear Algebra: Orthogonality and Diagonalization (Coursera)

Apr 1st 2024
Linear Algebra: Orthogonality and Diagonalization (Coursera)
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This is the third and final course in the Linear Algebra Specialization that focuses on the theory and computations that arise from working with orthogonal vectors. This includes the study of orthogonal transformation, orthogonal bases, and orthogonal transformations. The course culminates in the theory of symmetric matrices, linking the [...]

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

Apr 1st 2024
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, [...]

Algebra: Elementary to Advanced - Equations & Inequalities (Coursera)

Apr 1st 2024
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 [...]

Algebra: Elementary to Advanced - Polynomials and Roots (Coursera)

Apr 1st 2024
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. [...]

Calculus through Data & Modelling: Integration Applications (Coursera)

Apr 1st 2024
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 [...]

Calculus through Data & Modelling: Series and Integration (Coursera)

Apr 1st 2024
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 [...]

Calculus through Data & Modelling: Vector Calculus (Coursera)

Apr 1st 2024
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 [...]

Calculus through Data & Modelling: Techniques of Integration (Coursera)

Apr 1st 2024
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 [...]

Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors (Coursera)

Mar 25th 2024
Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors (Coursera)
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This course is the second course in the Linear Algebra Specialization. In this course, we continue to develop the techniques and theory to study matrices as special linear transformations (functions) on vectors. In particular, we develop techniques to manipulate matrices algebraically. This will allow us to better analyze and [...]

Linear Algebra: Linear Systems and Matrix Equations (Coursera)

Mar 25th 2024
Linear Algebra: Linear Systems and Matrix Equations (Coursera)
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This is the first course of a three course specialization that introduces the students to the concepts of linear algebra, one of the most important and basic areas of mathematics, with many real-life applications. This foundational material provides both theory and applications for topics in mathematics, engineering and [...]