Calculus I (MATH 101)
الدوال، الحدود، التفاضل، تطبيقات التفاضل، ورسم المنحنيات.
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About the Course
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This course is a first in calculus, dealing mainly with differential calculus. After a discussion of a few mathematical preliminaries, we introduce fundamental functions (polynomials, power, trigonometric, logarithmic, exponential, and hyperbolic functions), limits, continuity, derivatives, differentiation rules, and finally applications of differentiation (monotonicity, concavity, extrema, sketching the plane curves, Taylor and Maclaurin polynomials).
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You Will Learn :
Functions, Solving Linear Equations, Solving Linear Inequalities, Absolute Value, Inverse Functions, Trigonometry Functions and their Inverse, Definition of Limits, Limits Rules, Limits of Trigonometry Functions, Continuity of Functions, The Derivative and Tangent Line problems, Differentiation Rules, Derivatives of Trigonometric Functions, The Chain Rule, Implicit Differentiation, Higher Order Derivatives, The Derivatives of Inverse Functions, Related Rates, Extrema of Functions, The Mean Value Theorem, Increasing and Decreasing Functions, Concavity, Curve Sketching, and Optimization Problems.
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Target Group :
*Academic Level : Academic University Student
* Speciality : Mathematics
* Material : MATH 101
* University Name : Northern Border University -
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Speciality : Mathematics
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