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لاحقا لما ارسلته لكم بخصوص موضوعات الامتحان
ستكون موضوعات الامتحان النهائي كل موضوعات الخطة باستثناء
Chapter 12: Vector-Valued Functions,
Section 14.4: Surface Area
اي ان موضوع
Surface Area
ايضا غير داخل في الامتحان
وبالتالي تكون الموضوعات الداخلة في الامتحان النهائي
11.5 Parametric Equations of Lines
11.6 Planes in 3-Space
11.7 Quadric Surfaces
13.1 Functions of Two or More Variables
13.2 Limits and Continuity
13.3 Partial Derivatives
13.4 Differentiability and Local Linearity
13.5 The Chain Rule
13.6 Directional Derivatives and Gradients
13.7 Tangent Planes and Normal Vectors
13.8 Maxima and Minima in 2-Variables
13.9 Lagrange Multipliers
14.1 Double Integrals
14.2 Double Integrals Over Non-rectangular
14.3 Double Integrals in Polar Coordinates
14.5 Triple Integrals
14.6 Triple Integrals in Cylindrical and Spherical Coordinates
15.1 Vector Fields
15.2 Line Integrals
15.3 Independence of Path; Conservative Vector Fields
15.4 Green's Theorem
علما بان التركيز في الامتحان النهائي سيكون على الموضوعات التي لم
تدخل في الامتحان النصفي حيث سيكون نصيب هذه الموضوعات مالايقل عن 40 علامة من علامة الامتحان النهائي
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