Introduction to Mathematics II (MATH 140)
الدوال، الحدود، التفاضل، تطبيقات التفاضل، ورسم المنحنيات.
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About the Course
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Definition of the function, methods of representation of the function, classification of functions, finding the domain of the function, algebraic operations on functions the concept of the limit of the function, theories and the calculation of the limits, the cases of non-defined, the evaluation of the limits, the definition of the limit of the function, the continuity, concept of the function at a point on an interval, the definition of slope, tangent slope, the concept of derivative of function, rules, and evaluation of derivative of a function, chain rule, derivatives of trigonometric functions, exponential, logarithmic, higher derivatives of functions, implicit derivation of functions, mean value theory, some applications of derivatives: critical values, maximum values and minimum values of functions, calculation of intervals of increase and decrease, concavity, second derivative test, and some optimization issues.
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You Will Learn :
Definition of The Function, Methods of Representation of the Function, Classification of Functions, Finding the Domain of The Function, Algebraic Operations on Functions, The Concept of The Limit of The Function, Theories and The Calculation of The Limits, The Cases of Non-Defined and The Evaluation of The Limits, The Definition of The Limit of The Function, The Continuity, Continuity Concept of The Function at a Point and on an Interval, The Definition of Slope, Tangent Slope, Concept of Derivative of Function, Rules and Evaluation of Derivative of Function, The Chain Rule, Derivatives of Trigonometric Functions, Derivatives Exponential and Logarithmic, Derivatives of Exponential, Higher Derivatives of Functions, Implicit Derivation of Functions, Mean Value Theory, Some Applications of Derivatives, Critical Values, Maximum Values and Minimum Values of Functions, Calculation of Intervals of Increase and Decrease, Concavity, Second Derivative Test, and Some Optimization Issues.
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Target Group :
*Academic Level : Academic University Student
* Speciality : Mathematics
* Material : MATH 140
* University Name : Shaqra University -
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