Integral Calculus (MATH 106)
Definition of Integration and principles of integrals, finding areas and volumes, the length of the curve for a defined function, sequences, and series.
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نبذة عن المقرر
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The Definite Integrals, Fundamental Theorem of Calculus, The Indefinite Integrals, Change of Variables, Numerical Integration, Area, Volume of Revolution, Work, Arc Length, Differentiation and Integration of Inverse Trigonometric Functions, The Logarithmic, Exponential, Hyperbolic and Inverse Hyperbolic Functions, Techniques of Integration: Substitution, by Parts, Trigonometric Substitutions, Partial Fractions, Miscellaneous Substitutions. Indeterminate Forms, Improper Integrals, and Polar Coordinates.
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ماذا ستتعلم :
Antiderivatives and Indefinite Integrals, Change of Variables in Indefinite Integrals, Summation Notation and Area, The Definite Integral, Properties of the Definite Integral, The Fundamental Theorem of Calculus, Numerical Integration, The Natural Logarithm Function, The Exponential Function, Integration Using Natural Logarithm and Exponential Function, General Exponential and Logarithmic Functions, Inverse Trigonometric Functions, Hyperbolic and Inverse Hyperbolic Functions, Indeterminate Forms and l'Hopital's Rule, Integration by parts, Trigonometric Integrals, Trigonometric Substitutions, Integrals of Rational Functions (Partial fractions), Quadratic Expressions and Miscellaneous Substitutions, Improper Integrals, Area Between Curves, Volume (By Disk or Washer), Volume (By Cylindrical Shells), Arc Length and Surfaces of Revolution.
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الفئة المستهدفة :
* المرحلة الجامعية
* الاختصاص : الرياضيات
* المادة : MATH 106
* اسم الجامعة : جامعة الملك سعود -
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مجموعة المستقبل للتعليم
المرحلة الجامعية
التخصص : الرياضيات
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تقييمات وتعليقات الطلاب
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