13.1 Part 1 Curves in Space and Their Tangents

Dr. Abdelrahim S. Mousa Assistant Professor of Applied Mathematics Department of Mathematics Faculty of Science Birzeit University Palestine [email protected] https://sites.google.com/a/ritaj.ps/a... --------------------------------------------------------- Study Math Online https://sites.google.com/view/study-m... --------------------------------------------------------- د. عبد الرحيم موسى دائرة الرياضيات جامعة بيرزيت فلسطين --------------------------------------------------------- Calculus III - Math2311 13.1 Curves in Space and Their Tangents 13.2 Integrals of Vector Functions 13.3 Arc Length in Space 13.4 Curvature and Normal Vectors of a Curve 13.5 Tangential and Normal Components of Acceleration 14.1 Functions of Several Variables 14.2 Limits and Continuity in Higher Dimensions 14.3 Partial Derivatives 14.4 The Chain Rule 14.5 Directional Derivatives and Gradient Vectors 14.6 Tangent Planes and Differentials 14.7 Extreme Values and Saddle Points 14.8 Lagrange Multipliers 15.1 Double and Iterated Integrals over Rectangles 15.2 Double Integrals over General Regions 15.3 Area by Double Integration 15.4 Double Integrals in Polar Form 15.5 Triple Integrals in Rectangular Coordinates 15.6 Moment and Centers of Mass 15.7 Triple Integrals in Cylindrical and Spherical Coordinates 15.8 Substitution in Multiple Integrals 16.1 Line Integrals 16.2 Vector Fields and Line Integrals 16.3 Path Independence - Conservative Fields and Potential Functions 16.4 Greens Theorem in the Path 16.5 Surfaces and Area 16.6 Surface Integrals