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Linear and Quadratic Approximations

By David Jerison - MIT
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Lecture Description

Course Description

This introductory calculus course covers differentiation and integration of functions of one variable, with applications.

Course Index

  1. Derivatives, slope, velocity, rate of change
  2. Limits, Continuity, Trigonometric limits
  3. Derivatives of products, quotients, sine, cosine
  4. Chain rule, Higher derivatives
  5. Implicit differentiation, inverses
  6. Exponential and log Logarithmic differentiation; hyperbolic functions
  7. Hyperbolic functions (cont.) and exam 1 review
  8. Linear and Quadratic Approximations
  9. Curve Sketching
  10. Max-min problems
  11. Related Rates