Sci: Mathematics

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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 [...]

Matrix Algebra for Engineers (Coursera)

This course is all about matrices, and concisely covers the linear algebra that an engineer should know. The mathematics in this course is presented at the level of an advanced high school student, but typically students should take this course after completing a university-level single variable calculus [...]

Logic for Economists (Coursera)

This course provides a very brief introduction to basic mathematical concepts like propositional and predicate logic, set theory, the number system, and proof techniques.

Matrix Methods (Coursera)

Mathematical Matrix Methods lie at the root of most methods of machine learning and data analysis of tabular data. Learn the basics of Matrix Methods, including matrix-matrix multiplication, solving linear equations, orthogonality, and best least squares approximation. Discover the Singular Value Decomposition that plays a fundamental [...]

Differential Equations for Engineers (Coursera)

This course is about differential equations and covers material that all engineers should know. Both basic theory and applications are taught. In the first five weeks we will learn about ordinary differential equations, and in the final week, partial differential equations. The course is composed of [...]