Makine Mühendisliği Calculus II ders notudur.

Calculus 2 dersinin ders notudur. (PS dahil değildir.)

Green teoremi çoğunlukla iki boyutlu akış integrallerinin çözümünde kullanılır. Akış integrallerinde, bir hacim içinde bulunan herhangi bir noktadaki dışarıya akan akışkan toplamı çevreleyen alan etrafındaki toplam dışarıya akana eşittir.

Calculus 2 (MATH102) ders notu içeriği:

• folar coordinates
• remark
• the relation between rectaugular and polar coordinates
• grauphs in polaar coordiunates
• taugent line for parametric and polar curve
• area in polar coordiuates
• dimensional space
• cyeinolirical surfaces
• vectors
• properties
• dot product and projetions
• directional angles and diectional cosines
• merrices and determinount
• the cross product of vectors
• resmit
• the equation of line in 3 olim
• the equation of a plane
• the distance between a plain or point
• quadratic surface
• cylindirical and spherical coordinates
• vector valmed functions
• integration
• arclengtin
• changing the parameter
• arc lemgtin as a parameter
• unit taugent normal and binomal vector
• curvature
• pautial derivatives
• functions of several variables
• partiral derivates
• implicit differentiation
• higher order derivatives
• differenti ability
• differeutials
• the chain rule
• directional derivatives and graudients
• tangeut planes and normal lines
• minimum and maximum of this of two variables
• absolute minimum and maximum
• lagrange multipliers
• multiple integrals
• area as a double integral
• double integral in polar coordinates
• surface area
• triple integrals
• triple integraus over general regions
• triple integrals in spherical coordinates
• change of variables in multiple integrals
• the effect on integration
• change of variables in triple integrals
• vector fields
• line integrals
• integration of vector fields
• the fundemental theorem of calculus for line integrals
• green's theorem

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