Calculus
Sequences, series and function approximation

Maclaurin and Taylor series

  1. Maclaurin and Taylor Series Intuition
  2. Cosine Taylor Series at 0 (Maclaurin)
  3. Sine Taylor Series at 0 (Maclaurin)
  4. Taylor Series at 0 (Maclaurin) for e to the x
  5. Euler's Formula and Euler's Identity
  6. Complex number polar form intuition
  7. Multiplying and dividing complex numbers in polar form
  8. Powers of complex numbers
  9. Visualizing Taylor Series Approximations
  10. Generalized Taylor Series Approximation
  11. Visualizing Taylor Series for e^x
  12. Error or Remainder of a Taylor Polynomial Approximation
  13. Proof: Bounding the Error or Remainder of a Taylor Polynomial Approximation

Powers of complex numbers Use Euler's formula to determine the value of a complex number raised to an nth power.