DANIEL STANISLAW JANKOWSKI

M A T H E M A T I C S .. T U T O R I A L S
  • Integral.
    • Integration by substitution,
    • Integration by parts,
    • Changing the order of integration,
    • Integration by trigonometric substitution,
    • Integration by partial fractions,
    • Integration by reduction formulae,
    • Integration using parametric derivatives,
    • Integration using Euler's formula,
    • Differentiation under the integral sign,
    • Contour Integration.
  • Riemann integral.
  • Integration of function (polynomial, trigonometric, rational, exponential).
  • Improper integral.
  • Applications.
  • Multiple integral.
  • Line/contour integral.
  • Differential calculus of function with many variables.
    • Partial derivative.
    • Exact differential.
    • Chain rule.
    • Implicit functions.
    • Ekstrema of function of more than one variable.
    • Field theory.
  • Series.
    • Corvergent series.
    • Conditionally corvergent.
    • Series of functions.
    • Power of series.
    • Taylor series.
    • Maclaren series.
    • Fourier series.
    • Leibniz criterion.
    • Weierstrass criterion.
    • Dirichlet criterion.
    • Corvengence criterion.
  • Function.
    • Properties.
    • Inverse function.
    • Linear function.
    • Polynomonal.
    • Rational function.
    • Exponential function.
    • Logarithm function.
    • Trigonometric function.
    • Cyclometric function.
    • Hiperbolic function.
    • Limit of a function at a point.
    • Limits involving infinity .
    • Limit of a function with two variables.
    • One-sided limits .
    • Funkcion with complex number.
    • Asymptote. Continouous functions.
    • Extremum analysis.
    • Function analysis.
  • Sequence.
    • Sequence in mertic space.
    • Limit of sequence. Monotonic.
    • Sequence of complex number.
    • Sequence with metric units.
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