Calculus 3 Tutor -Over 47 Hours- 55 Topics on Flash Drive or Instant Access (State Preference During PayPal Checkout Process)

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This Calculus video prepares a student to be successful in Physics and advanced math courses. Topic covered in the Calculus video 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.

Topics in Calculus 3-Over 47 Hours-55 Topics

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