Bilgisayar Mühendisliği Bölümü Genel Matematik I ders notudur.

Aslı hoca genel matematik 1 ders notudur.

Genel matematik 1 (MATH153) ders notu içeriği:

• preliminaries
• rules for inqualities
• intervals
• absolute value
• cartesion coordinates
• circle equatior
• straight lines
• equation of a parabola
• equation of on ellipse
• equation of a hyperbols
• even and odd functions
• composite funstion
• piecewise defined functions
• polynamials
• the trigonometric functions
• limit and continuity
• limits of functions
• one-sided limits
• examples
• rules for limit
• trigonometrik limits
• limits at infinity and infinite limits
• infinite limits
• continuity
• examples
• continuous extensions
• theorems
• examples
• the derivative
• leibnez natation
• differentiation rules
• the chain rule
• derivatives of trigonometric functions
• higher order derivatives
• examples
• the mean
• increasing and decreasing functions
• implicit differentation
• examples
• antiderivatives and initial-value problems
• inverse functions
• properties of the inverse
• derivatives of inverse function
• exponencial and logarithmic functions
• inverse trigonometric functions
• hyperbolic functions
• the related rates
• indeterminate forms
• L'hospitals rule
• extreme values
• the first derivative test
• examples
• sketching the graph of a function
• lineer approximations
• approximating values of functions
• taylor polynomials
• sums and sigma notation
• areas of limits of sums
• examples
• the definite integral
• examples
• properties of the definite integral
• the method of sunstitution
• trigonometric integrals
• fundamental theorem of calculus
• areas of plane regions
• integration by parts
• examples
• reduction formula
• integrals of rational functions
• partial fractions
• inverse substitution
• examples

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