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

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)

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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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