Calculus I (MATH 101)
الدوال، الحدود، التفاضل، تطبيقات التفاضل، ورسم المنحنيات.
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About the Course
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This course covers several techniques in calculus (trigonometric functions and their inverse, hyperbolic functions and their inverse), the concept of limits, computation of limits, limits involving infinity, asymptotes, continuity, tangent line, and rates of change. This course also focuses on an introduction to techniques of differentiation, the product and quotient rules, derivatives of exponential functions, derivatives of logarithms functions, derivatives of trigonometry functions, derivatives of inverse trigonometric functions, derivatives of hyperbolic functions, the chain rule, parametric differentiation, implicit differentiation, maximum and minimum values, increasing and decreasing functions, concavity and second derivatives tests, the L'Hospital's rule, indeterminate forms, Rolle's theorems, and the mean value theorem.
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You Will Learn :
Trigonometric Function, Inverse of Trigonometric Function, Hyperbolic Functions, Inverse of Hyperbolic Functions, Computation of Limits, Limits Involving Infinity, Asymptotes, Continuity, Tangent Line and Rates of Change, Techniques of Differentiation, The Product and Quotient Rules, Derivatives of Exponential Functions, Derivatives of Logarithms Functions, Derivatives of Trigonometry Functions, Derivatives of Inverse Trigonometric Functions, Derivatives of Hyperbolic Functions, The Chain Rule, Parametric Differentiations, Implicit Differentiation, Maximum and Minimum Values, Increasing and Decreasing Functions, Concavity and Second Derivatives Test, L’Hospital’s Rule, Indeterminate Forms, Rolle’s Theorems, Mean Value Theorem, Functions Graphs, and Optimization Problems.
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Target Group :
*Academic Level : Academic University Student
* Speciality : Mathematics
* Material : MATH 101
* University Name : University of Prince Mugrin -
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