شرح مقرر ريض 106 لجامعة الملك سعود Math 106 حساب التكامل
BOOK: [ Calculus by Swokowski, Olinick, Pence "Sixth Edition"]
[ 4.1 ] Antiderivatives and Indefinite Integrals
[ 4.2 ] Change of Variables in Indefinite Integrals
[ 4.3 ] Summation Notation and Area
[ 4.4 ] The Definite Integral
[ 4.5 ] Properties of the Definite Integral
[ 4.6 ] The Fundamental Theorem of Calculus
[ 4.7 ] Numerical Integration
[ 6.2 ] The Natural Logarithm Function
[ 6.3 ] The Exponential Function Integration
[ 6.4 ] Using Natural Logarithm and Exponential Function
[ 6.5 ] General Exponential and Logarithmic function
[ 6.7 ] Inverse Trigonometric Functions
[ 6.8 ] Hyperbolic and Inverse Hyperbolic Functions
[ 6.9 ] Indeterminate Forms and l'Hopital's Rule
[ 7.1 ] Integration by parts
[ 7.2 ] Trigonometric Integrals
[ 7.3 ] Trigonometric Substitutions
[ 7.4 ] Integrals of Rational Functions (Partial fractions)
[ 7.5 ] Quadratic Expressions and Miscellaneous Substitutions
[ 7.7 ] Improper Integrals
[ 5.1 ] Area Between Curves
[ 5.2 ] Volume (By Disk or Washer )
[ 5.3 ] Volume ( By Cylindrical Shells )
[ 5.5 ] Are Length and Surfaces of Revolution
[ 9.1 ] Parametric Equations
[ 9.2 ] Arc Length and Surface Area
[ 9.3 ] Polar Coordinates
[ 9.4 ] Integrals in Polar Coordinates
(ملاحظة)
(جميع الشباتر المذكورة تم شرحها)
(مصدر التمارين من الكتاب المقرر و مذكرات الدكتورين الغامدي و الفاضل)
BOOK: [ Calculus by Swokowski, Olinick, Pence "Sixth Edition"]-----------------------------------------------------------------------
[ 4.1 ] Antiderivatives and Indefinite Integrals ------------------------------------------------------------------------------------------------
[ 4.2 ] Change of Variables in Indefinite Integrals -------------------------------------------------------------------------------------------
[ 4.3 ] Summation Notation and Area -----------------------------------------------------------------------------------------------------------
[ 4.4 ] The Definite Integral ------------------------------------------------------------------------------------------------------------------------
[ 4.5 ] Properties of the Definite Integral -------------------------------------------------------------------------------------------------------
[ 4.6 ] The Fundamental Theorem of Calculus -----------------------------------------------------------------------------------------------
[ 4.7 ] Numerical Integration -----------------------------------------------------------------------------------------------------------------------
[ 6.2 ] The Natural Logarithm Function ---------------------------------------------------------------------------------------------------------
[ 6.3 ] The Exponential Function Integration --------------------------------------------------------------------------------------------------
[ 6.4 ] Using Natural Logarithm and Exponential Function --------------------------------------------------------------------------------
[ 6.5 ] General Exponential and Logarithmic function ---------------------------------------------------------------------------------------
[ 6.7 ] Inverse Trigonometric Functions --------------------------------------------------------------------------------------------------------
[ 6.8 ] Hyperbolic and Inverse Hyperbolic Functions -----------------------------------------------------------------------------------------
[ 6.9 ] Indeterminate Forms and l'Hopital's Rule -----------------------------------------------------------------------------------------------
[ 7.1 ] Integration by parts ------------------------------------------------------------------------------------------------------------------------
[ 7.2 ] Trigonometric Integrals -------------------------------------------------------------------------------------------------------------------
[ 7.3 ] Trigonometric Substitutions ---------------------------------------------------------------------------------------------------------------
[ 7.4 ] Integrals of Rational Functions (Partial fractions) ------------------------------------------------------------------------------------
[ 7.5 ] Quadratic Expressions and Miscellaneous Substitutions --------------------------------------------------------------------------
[ 7.7 ] Improper Integrals ----------------------------------------------------------------------------------------------------------------------------
[ 5.1 ] Area Between Curves -----------------------------------------------------------------------------------------------------------------------
[ 5.2 ] Volume (By Disk or Washer ) --------------------------------------------------------------------------------------------------------------
[ 5.3 ] Volume ( By Cylindrical Shells ) ----------------------------------------------------------------------------------------------------------
[ 5.5 ] Are Length and Surfaces of Revolution ------------------------------------------------------------------------------------------------
[ 9.1 ] Parametric Equations ------------------------------------------------------------------------------------------------------------------------
[ 9.2 ] Arc Length and Surface Area -------------------------------------------------------------------------------------------------------------
[ 9.3 ] Polar Coordinates ---------------------------------------------------------------------------------------------------------------------
[ 9.4 ] Integrals in Polar Coordinates -------------------------------------------------------------------------------------------------------------
(ملاحظة)
(جميع الشباتر المذكورة تم شرحها)
(مصدر التمارين من الكتاب المقرر و مذكرات الدكتورين الغامدي و الفاضل)