Calculus I (MATH 111)
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: the concept of limits, computation of limits, limits involving infinity, asymptotes, and 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, application of first and second ordered derivatives, maximum and minimum values, increasing and decreasing functions, concavity and second derivatives tests, the L-Hospital's rule, indeterminate forms, Rolle’s theorem, mean value theorems, Maclurin and Taylor theorems.
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You Will Learn :
Computation of Limits, Limits Involving Infinity, Limit Laws for Limits at Infinity, Asymptotes, Limits of Trigonometry Functions, 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, Velocity and Acceleration, Maximum and Minimum Values, Increasing and Decreasing Functions, Concavity and Second Derivatives Test, L’Hospital’s Rule, Analyzing Functions, Graphing Functions, Indeterminate Forms, Rolle’s Theorems, Mean Value Theorem, and Maclurin and Taylor Theorem.
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Target Group :
*Academic Level : Academic University Student
* Speciality : Mathematics
* Material : MATH 111
* University Name : University of Hail -
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