Calculus II (MATH 111)
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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About the Course
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This Course will Discussed the Integration, Integration Technics, Applications of Integrations, Series and Sequences, Convergence, Divergence Series, Tests of convergence Parametric Equations, Arc Length, Surface Area, and Taylor Malarian Series, Conic Sections and Polar Coordinates.
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You Will Learn :
The Definite Integral, Rieman Sum, Indefinite Integration, and the NET Change Theorem, Definite Integration, The Fundamental Theorem of Calculus, The Substitution Rule, Integration by Parts, The Logarithm Defined as an Integral, Integration of Rational Functions by Partial Fractions, Areas Between Curves, Volumes, Volumes by Cylindrical Shells, Work, Trigonometric Integrals, Strategy for Integration Trigonometric Substitution, Integration of Inverse Trigonometric Functions, Arc Length, Area of a Surface of Revolution, Modeling with Differential Equations, Direction Fields and Euler’s Method, Separable Equations, Exponential Function, Curves Defined by Parametric Equations, Calculus with Parametric Curves, Polar Coordinates, Areas and Lengths in Polar Coordinates, Sequences, Series, The Integral Test and Estimates of Sums, The Comparison Tests, Alternating Series, Absolute Convergence and the Ratio and Root Tests, Strategy for Testing Series Power Series.
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Target Group :
*Academic Level : Academic University Student
* Speciality : Mathematics
* Material : MATH 111
* University Name : King Saud University -
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