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18.01x Single Variable Calculus

David Jerison, Gigliola Staffilani, Jen French, Karene Chu, Jennifer French, and Duncan Levear

Master the calculus of derivatives, integrals, coordinate systems, and infinite series.

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Master the calculus of derivatives, integrals, coordinate systems, and infinite series.

In this series, you will learn the mathematical notation, physical meaning, and geometric interpretation of a variety of calculus concepts. Along with the fundamental computational skills required to solve these problems, you will also gain insight into real-world applications of these mathematical ideas.

- Ivan (completed this course)

- Dna47a (completed this course, spending 10 hours a week on it and found the course difficulty to be medium)

- Dna47a (completed this course)

What you'll learn

  • Various ways to interpret the derivative and integral of a function and how to compute these quantities
  • How to use linear and quadratic approximations of functions to simplify computations and gain insight into the system behavior
  • Applications of the derivative and integral such as in optimizing the cost of production or computing the stress on a construction beam
  • The calculus of parameterized curves and polar coordinates
  • How to approximate complicated functions by a series of simpler functions

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