Calculus 3 Videos Over 47 Hours 55 Topics
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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 3Over 47 Hours55 Topics
Sequences
Series and Convergence
Integral Test and Pseries
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
VectorValued 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 VectorValued 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 VariablesPolar Coordinates
Surface Area
Triple Integrals and Applications
Cylindrical and Spherical Coordinates
Triple Integrals in Cylindrical and Spherical Coordinates
Change of VariableJacobians
Vector Fields
Line Integrals
Conservative Vector Fields and Independence of Path
Green's Theorem
Parametric Surfaces
Surface Integrals
Divergence Theorem
Stoke's Theorem
