Mathematics Online Courses & Certifications

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Learn to use R programming to apply linear models to analyze data in life sciences. Matrix Algebra underlies many of the current tools for experimental design and the analysis of high-dimensional data. In this introductory online course in data analysis, we will use matrix algebra to represent the linear models that commonly used to model differences between experimental units....

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Introduction to linear optimization, duality and the simplex algorithm. Introduction to linear optimization, duality and the simplex algorithm. The course is structured into 5 sections. Formulation: you will learn from simple examples how to formulate, transform and characterize an optimization problem. Duality: you will learn how to derive a companion problem called the "dual"....

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Take a deep dive intoPrime Numbers - one of the most mysterious and important subjects in mathematics! 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 are all prime numbers and they hold special significance. In this course, I will present several attractive topics on prime numbers. You will learn basic concepts of prime numbers from the beginning....

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Introduction to unconstrained nonlinear optimization, Newton’s algorithms and descent methods. Introduction to unconstrained nonlinear optimization, Newton’s algorithms and descent methods. The course is structured into 6 sections: Formulation: you will learn from simple examples how to formulate, transform and characterize an optimization problem. Objective function: you will review the mathematical properties of the objective function that are important in optimization....

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Introduction to network optimization and discrete optimization Introduction to the mathematical concept of networks, and to two important optimization problems on networks: the transshipment problem and the shortest path problem. Short introduction to the modeling power of discrete optimization, with reference to classical problems. Introduction to the branch and bound algorithm, and the concept of cuts....

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Apply mathematics to solve real-life problems. Make a mathematical model that describes, solve and validates your problem. Improve your model. How do populations grow? How do viruses spread? What is the trajectory of a glider? Many real-life problems can be described and solved by mathematical models. In the verified track of this course you will additionally:...

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Learn key mathematical tools necessary to anticipate the performance levels of queueing systems and understand the behavior of other systems that evolve randomly over time. Situations where resources are shared among users appear in a wide variety of domains, from lines at stores and toll booths to queues in telecommunication networks....

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This course is an introduction to linear algebra. You will discover the basic objects of linear algebra – how to compute with them, how they fit together theoretically, and how they can be used to solve real problems. We will be emphasizing the vocabulary throughout, so that students become comfortable working with the different aspects....

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Take control of data and gain a better understanding of the tools used in public policy planning, management, and evaluation. In this age of information, data is available everywhere and grows at an exponential rate. How can we make sense of all this data? , how do we take advantage of data when making decisions?...

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Learn fundamental concepts of single-variable calculus and ordinary differential equations, as well as their applications in engineering fields. Apply mathematical skills to model and solve engineering problems. How do electrical engineers find out all the currents and voltages in a network of connected components? How do space flight engineers launch an exploratory probe?...

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