MATH101 - Ders Notu & PS
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MATH101 - Ders Notu & PS

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Makine Mühendisliği Calculus I ders notudur.

Calculus 1 ders notları ve PS sorularıdır.

However, as n increases, the ratio still tends in the limit towards the same constant 1/2. The ratio test generalizes the simple test for geometric series to more complex series like this one where the quotient of two terms is not fixed, but in the limit tends towards a fixed value.

Calculus 1 (MATH101) ders notu içeriği:

  • differention
  • gradhs
  • vertical line test
  • the absolute value function
  • functions defined piecewise
  • operations on functions
  • quick check exercises
  • family of functions
  • limits
  • sandwich theorem
  • continuity
  • continuity an on interval
  • intermediate value theorem
  • inverse functions
  • the derivative
  • the chain rule
  • related rates
  • linear approximation
  • implicit differentiation
  • graph study examples
  • absolute extrema
  • polynomials
  • maximum minimum problems
  • application to economics
  • team volue theorem
  • integration
  • the natural logorithm
  • generally for inverse functions
  • l'hospital rule
  • partial fractions
  • infinite sequences
  • infinite series
  • telescoping sums
  • harmonic series
  • divergence test
  • the integral test
  • p-series
  • comparison test
  • limit comparison test
  • ratio test
  • root test
  • alternating series test
  • approximating the sum
  • ratio test for absolute convergence
  • power series madaurin
  • taylor series
  • remark
  • binomial

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