MATH2311 - CALCULUS 3 - Birzeit University

Math231-Course-Outline

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354047573_757379369518362_504443870039985810_n

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Extra+examples+14.1+and+14.2

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12.6+New+notes

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14.4+notes

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14.7+and+14.8+new+notes

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20230613105116637

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calc3

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Chapter+12+notes

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Chapter+13+Notes

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Chapter+14+Notes

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Chapter+15+Calculus+3

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Final

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final 2021

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FINAL CALC3

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Final calculas 3

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Final calculas 3

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Final CALCULUS3

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First

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first

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first 2021

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First Soln

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Midterm+-+key

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Second

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Second

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Third Exam

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13.1 Curves in Space and Their Tangents

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13.2 Integrals of Vector Functions

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13.3 Arc Length in Space

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13.4 Curvature and Normal Vectors of a Curve

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14.1 Functions of Several Variables

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14.3 Partial Derivatives

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14.4 The Chain Rule

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14.6 Tangent Planes and Differentials

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14.7 Extreme Values and Saddle Points

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14.8 Lagrange Multipliers

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15.1 Double and Iterated Integrals over Rectangles

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15.3 Area by Double Integration

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15.4 Double Integrals in Polar Form

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15.6 Moment and Centers of Mass

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15.7 Triple Integrals in Cylindrical and Spherical Coordinates

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15.8 Substitution in Multiple Integrals

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16.1 Line Integrals

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16.2 Vector Fields and Line Integrals

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16.3 Path Independence - Conservative Fields and Potential Functions

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16.4 Greens Theorem in the Path

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16.6 Surface Integrals

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15.4_Polar Graphs from 11.4

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Lecture Note Dr.Alaa

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13.5 Tangential and Normal Components of Acceleration

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14.2 Limits and Continuity in Higher Dimensions

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14.5 Directional Derivatives and Gradient Vectors

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15.2 Double Integrals over General Regions

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15.5 Triple Integrals in Rectangular Coordinates

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16.5 Surfaces and Area

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Midterm

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Midterm+-+key

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q1

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quiz 1

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Quiz 1 Key

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Quiz 2 Key

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Quiz 3 Key

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Quiz 4 key

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Q8 Q9

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Quiz1

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Quiz2+Key

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quiz

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Quiz+1+-+Key

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Quiz+1+-+Key

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Quiz+2+_+Key

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Quiz+2+_+Key

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Quiz+3+-+Key

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Quiz+3+-+Key

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Quiz+4+-+key

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Quiz+4+-+key

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Dr. Abdelrahim Musa

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