Differential Calculus (MATH 1050)
الدوال، الحدود، التفاضل، تطبيقات التفاضل، ورسم المنحنيات.
Total Lessonses 47
Total hours : 25:44:42
Duration Of Course 17 weeks
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About the Course
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Real numbers, polynomials, functions, limits, and continuity: algebraic functions exponential functions; logarithmic functions; trigonometric functions; limits – continuity, derivatives; techniques of differentiation; derivatives of algebraic functions; derivatives of exponential functions; derivatives of logarithmic functions; derivatives of trigonometric functions; equations of the tangent and normal; the chain rule, inverse trigonometric functions; hyperbolic function; inverse hyperbolic functions; inverse trigonometric functions; derivatives of inverse trigonometric functions; derivatives of hyperbolic functions; inverse hyperbolic functions; derivatives of inverse hyperbolic functions; calculation of the derivative; differentiation of composite functions; differentiation of implicit functions; applications to calculus: function graph; Rolle's theorem; mean value theorem differentials; L'Hospital’s theorem; maxima and minima related rates; horizontal and vertical asymptotes.
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You Will Learn :
Real Numbers System, Functions, Some Important Functions, The Value of the Function, Composition of Functions, Even and Odd Functions, Trigonometry Functions, Definition of Limits and Graphs, Evolution of Limits, Limits Rules, Limits of Trigonometry Functions, Two Side Limits, Continuity, Techniques of Differentiation, Derivatives of Algebraic Functions, Derivatives of Exponential Functions, Derivatives of Logarithmic Functions, Derivatives of Trigonometric Functions, Equations of the Tangent and Normal, The Chain Rule, Inverse Trigonometric Functions, Hyperbolic Function and Inverse Hyperbolic Functions, Inverse Trigonometric Functions, Derivatives of Inverse Trigonometric Functions, Derivatives of Hyperbolic Functions, Related Rates Derivatives of Trigonometric Functions, Inverse Hyperbolic Functions, Derivatives of Inverse Hyperbolic Functions, Calculation of the Derivatives, Differentiation of a Composite Functions, Differentiation of Implicit Functions, Applications to Calculus, Rolle's Theorem, Mean Value Theorem, Differentials L'Hospital’s Theorem, Maxima and Minim, Increasing and Decreasing Functions, Concavity, Related Rates, Horizontal and Vertical Asymptotes, and Application of Derivatives .
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Target Group :
*Academic Level : Academic University Student
* Speciality : Mathematics
* Material : MATH 1050
* University Name : Prince Sattam Bin Abdulaziz University -
Suggested courses:
0 Homeworks 
0 Quiz Total Lessonses 47
Total Hours 25:44:42
Duration Of Course 17 weeks
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