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.
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