Course Content |
Fundamental conceptions of mathematical analysis, sets and number sets,induction,rectangular coordinate system,relation,inverse relation, functions,types of functions,special defined functions, trigonometric and inverse trigonometric, exponential ve logarithmic functions, limit of single-valued functions, properties of limit, continuity of single-valued functions, properties of continuous functions,limits at infinity,derivative of single-valued functions, geometric and physical meaning of the derivative, theorems on derivatives ,rules of derivative,chain rule, derivatives of trigonometric and inverse trigonometric, exponential , logarithmic and special defined functions implicit differentiation, higher order derivatives,Rolle’s Theorem,Mean Value Theorem,Cauchy’s Theorem,L’Hospital ‘s Rule, indeterminate forms,Newton’s Method,applications of derivative, the first derivative test, extreme values , concavity, the second derivative test, asymptotes, curve sketching, applied optimization problems, conic sections and quadratic equations, polar coordinates. |