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**Calculus 3 Tutor****Over 47 Hours-55 Topics**

**This video prepares a student to be successful in Physics and advanced math courses. Topic covered include Alternating Series Test , Vector in the Plane, Partial Derivatives, Lagrange Multipliers and more. Each example is explained in a step by step fashion that allows the student to follow the logic. Once again, central to my videos I endeavor to teach the student how to think mathematically. This calculus video is an excellent complement to your lectures and can be used with any textbook that your instructor may be using for this course. I am passionate about mathematics as well as teaching and I hope that in all of my videos you can see this. I hope to ignite some passion in the student too who is taking math at this level.**

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**Topics in Calculus 3**

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**Sequences****Series and Convergence****Integral Test and P-series****Comparison Tests****Alternating Series Test****Remainder for Alternating Series****Absolute and Conditional Convergence****Ratio and Root Test****Taylor and Maclaurin Polynomials and Approximations****Power Series****Representation of Functions by Power Series****Taylor and Maclaurin Series****Plane Curves and Parametric Equations****Parametric Equations and Calculus****Polar Coordinates and Graphs****Tangent Lines and Curve Sketching in Polar Coordinates****Area and Arc Length In Polar Coordinates****Vector in the Plane****The Dot Product****Vector-Valued Functions****Velocity and Acceleration****Tangent and Normal Vectors****Arc Length and Curvature****Space Coordinates and Vectors in Space****The Cross Product of 2 Vectors in Space****Lines and Planes in Space****Surfaces in Space****Curves and Vector-Valued Functions in Space****Tangent Vectors Normal Vectors and Curvature in Space****Intro to Functions of Several Variables****Limits and Continuity****Partial Derivatives****Differentials****Chain Rule for Functions of Several Variables****Directional Derivative and Gradients****Tangent Planes and Normal Lines****Extrema of Functions of Two Variables****Applications Extrema of Functions of Two Variables****Lagrange Multipliers****Iterated Integrals and Area in the Plane****Double Integrals and Volume****Change of Variables-Polar Coordinates****Surface Area****Triple Integrals and Applications****Cylindrical and Spherical Coordinates****Triple Integrals in Cylindrical and Spherical Coordinates****Change of Variable-Jacobians****Vector Fields****Line Integrals****Conservative Vector Fields and Independence of Path****Green's Theorem****Parametric Surfaces****Surface Integrals****Divergence Theorem****Stoke's Theorem**

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