Calculus I (MATH 115)
الدوال، الحدود، التفاضل، تطبيقات التفاضل، ورسم المنحنيات.
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About the Course
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This course will cover the understanding of limits and continuity of functions, the meaning of derivatives of a function in terms of rate of change, differentiation rules, local linear approximation and integration for functions, and the use of derivatives to solve a variety of derivatives with one variable. This course also includes the fundamental theorem of calculus, the use of the Reiman sum, and finding the integration for functions.
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You Will Learn :
Functions, Limits and Continuity, Formal Definition of Limits, Computation of limits and Finding limits Graphically, Continuity, Limits Involving Infinity, Asymptotes, The Derivative Definition, Derivatives Rules, Tangent Lines and Velocity, The Product and Quotient Rules, The Chain Rule, Higher Derivatives, Derivatives of Trigonometric, Derivatives Exponential and Logarithmic Functions, Implicit Differentiation, and Inverse Trigonometric Functions, The Mean Value Theorem, Indeterminate Forms & L'Hopital's Rule, Intermediate Value Theorem and Rolle’s Theorem, Extrema Values and Maximum and Minimum Values, Increasing and Decreasing Functions, Concavity & Second Derivative Test, Curve Sketching, Antiderivatives, Sums and Sigma Notation, Riemann Sum, Area, The Definite Integral, The Fundamental Theorem of Calculus, and Integration by Substitution and Area between Two Curves.
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Target Group :
*Academic Level : Academic University Student
* Speciality : Mathematics
* Material : MATH 115
* University Name : Imam Mohammad Ibn Saud Islamic University -
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