This course is designed for the Python programmer who wants to develop the foundations of Calculus to help solve challenging problems as well as the student of mathematics looking to learn the theory and numerical techniques of applied calculus implemented in Python. By the end of this course, you will have learned how to apply essential calculus concepts to develop robust Python applications that solve a variety of real-world challenges. Video lectures, readings, worked examples, assessments, and Python code are all provided in the course. These are used to illustrate techniques to solve equations, work with functions, and compute and apply derivatives and integrals. If you are interested in starting to develop concepts in fields such as applied math, data science, cybersecurity, or artificial intelligence, or just need a refresher of calculus or coding in Python, then this course is right for you.
Programming now has relevance well beyond just Computer Science. In this module and throughout this course, you will learn not only about programming using Python, but also how to use those skills to solve real, complex problems in future classes, at work, or elsewhere. To ensure this, copious amou…
Functions arise whenever one quantity depends on another. Mathematically speaking, a function is a rule that assigns to each element x in a set D (called the domain) exactly one element, called f(x), in a set called the range. Because we continually make theories about dependencies between quantiti…
Calculus is the science of measuring change. Early in its history, its tools were developed to solve problems involving the position, velocity, and acceleration of moving objects. Prior to the development of calculus, there was no way to express this change in a variable. In this section, we introd…
The derivative is defined as a limit of the difference quotient. Computing this limit symbolically is very challenging for complicated functions. In this section, we develop rules that find the derivative without having to fall back on the limit definition each time. These rules are purely algebrai…
One major topic in calculus is what is called "integral calculus," which involves finding areas or volumes of regions by adding up small slices. We start to think about areas or volumes as an accumulation of the smaller slices that make them and from that we can apply the theory of integral calculu…
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Johns Hopkins University is in Tier 1: world-leading universities and India's top institutes of our institution ranking (93/100).
Instructor(s): Tom Leighton, Marten van Dijk This course covers elementary discrete mathematics. Mathematical definitions and proofs are emphasized. Topics include formal logic, induction, graph theory, asymptotic notation and growth of functions, counting principles, and discrete probability.
Harvard University · edX
Contracts are a part of our everyday life, arising in collaboration, trust, promise and credit. How are contracts formed? What makes a contract enforceable? What happens when one party breaks a promise?
Our economic institutions, organizations, and skills have not kept up with rapid advances in AI. In this growing gap lie many of society’s greatest challenges and opportunities. This course will explore how AI can and will transform our economy and society in the coming years. Each week, we will le…
Harvard University · edX
This introduction to moral and political philosophy is one of the most popular courses taught at Harvard College.
Harvard University · edX
Learn about successful collaborations between families and educators and why they lead to improved outcomes for students and schools.
Harvard University · edX
Learn how to protect children from violence, exploitation, and neglect through law, policy, and practice in a human rights framework.
