
19-09-2008, 03:23 PM
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Surfing in Digital World
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التخصص: * Computer Engineering*
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الرد: دروس الحسبان
السـلام عليكـم
تفضـل اخوي :
SYLLABUS ITEMS:
Limits and Continuity:
The limit. One sided limits. Limit theorems. Vertical and horizontal asymptotes. Continuity. Continuity of trigonometric functions. The intermediate value theorem. The extreme value theorem.
Differentiation:
Tangent lines and rates of change. The derivative. Rules of differentiation. Derivatives of higher order. Differentiation of trigonometric, logarithmic and exponential functions. The chain rule. Implicit differentiation.
Applications of Derivatives:
Increasing and decreasing functions. Relative extreme values. The first derivative test. The second derivative test. Absolute extreme values. Concavity. Points of inflection. Vertical tangents and cusps. Curve sketching. Max Min problems. Mean Value theorem. Rolle's Theorem.
Integration:
Antiderivatives. Indefinite and definite integrals. The fundamental theorem of Calculus. Properties. Integral formulas. Average value. Integration by substitution.
Inverse Functions: Review of the inverse functions, continuity and differentiability of the inverse. Integration and differentiation of logarithmic and exponential functions. L’Hopital’s Rule.
Applications of the Integral: Area between two curves. Volumes by slicing. Volumes by cylindrical shells
ليس للتين أو الزيتون نغضبْ ......... نحن للإسلام لا للأرض ننسبْ
ما عشقنا في فلسطين ِصباها أو َصباها، أو رباها
بل عشقناها دويّاً وصليلا
وغبارا في سبيل الله يُسفى، وصهيلا
وسطورا بل فصولا في كتاب المجد تكتبْ
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