ريض 115-105 ريض حساب التفاضل و التكامل 1 جامعة الإمام محمد

تفاصيل المقرر
BOOK: [ Calculus Early Transcendental Function "4 Edition" Robert T. Smith And Ronald B. Minton ] [ 1.2 ] Concept of limit [ 1.3 ] Computation of limits [ 1.4 ] Continuity and its consequences [ 1.5 ] Limits involving infinity; Asymptotes [ 2.1 ] Tangent Lines ans Velocity [ 2.2 ] Derivative [ 2.3 ] Computation of derivatives: The Power Rule [ 2.4 ] The product and Quotient rules [ 2.5 ] the Chain rule [ 2.6 ] Derivatives of trigonometric functions [ 2.7 ] Derivatives Exponential and logarithmic functions [ 2.8 ] Implicit differentiation, and Inverse Trigonometric functions [ 2.10 ] The mean Value Theorem [ 3.1 ] Linear Approximation [ 3.2 ] Indeterminate forms & I'Hopital's rule [ 3.3 ] Maximum and Minimum Values [ 3.4 ] Increasing and decreasing functions [ 3.5 ] Concavity & second derivative test [ 3.6 ] Overview of curve sketching [ 3.7 ] Optimization [ 4.1 ] Antiderivatives [ 4.4 ] The Definite Integral and Area As A Definite Integral [ 4.5 ] The Fundamental Theorem of Calculus [ 4.6 ] Integration by substitution [ 6.2 ] Integration By Part

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