BASICS (complement)

BASICS (complement)

1. INTRODUCTION: FUNCTIONS

   • relative definitions
     • f: A->B/ y=f(x),x∈A
       • your life is my domain, your thoughts are my corresponding laws.
       • domain decided by inequalities
         • range decided by domain
       • mapping: special correspondence
   • functional image
     • transformation
       • symmetry
       • translation
   • representation method
     • analitical expressions with domain
       • parametric function f(t)
       • piecewise function
       • complimentry function f(u)=y, u=g(x)
     • graphing
       • 1. simplify the analytical expression
         • 2. domain
           • 3. features
   • monotonicity
     • dy/dx>0 OR <0
   • odd and even functions
   • application
     • roots and zero point of a function
     • NUMERICAL SOLUTIONS OF A EQUATIONS

2. INTEGRATION & DIFFERENTIATION

   • δ: extremely small d: differences e.g. ∫ds=S OR =&gt;∫1 ds=S(+c ??)