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CREATIVE MATH VIDEOS & TUTORING BY COLLEGE MATH PROFESSOR
Calculus III
This video has 55 topics covered in over 47 hours. The topics are covered in my usual thorough teaching style using numerous examples. The 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 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 Over 47 Hours-55 Topics 1 Sequences 2 Series and Convergence 3 Integral Test and P-series 4 Comparison Tests 5 Alternating Series Test 6 Remainder for Alternating Series 7 Absolute and Conditional Convergence 8 Ratio and Root Test
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10 Power Series 11 Representation of Functions by Power Series 12 Taylor and Maclaurin Series 13 Plane Curves and Parametric Equations 14 Parametric Equations and Calculus 15 Polar Coordinates and Graphs 16 Tangent Lines and Curve Sketching in Polar Coordinates 17 Area and Arc Length In Polar Coordinates 18 Vector in the Plane 19 The Dot Product 20 Vector-Valued Functions 21 Velocity and Acceleration
22 Tangent and
23 Arc Length and Curvature 24 Space Coordinates and Vectors in Space 25 The Cross Product of 2 Vectors in Space 26 Lines and Planes in Space 27 Surfaces in Space |
28 Curves and Vector-Valued Functions in Space
29 Tangent Vectors
30 Intro to Functions of Several Variables 31 Limits and Continuity 32 Partial Derivatives 33 Differentials 34 Chain Rule fof Functions of Several Variables 35 Directional Derivative and Gradients
36 Tangent Planes and
37 Extrema of Functions of Two Variables 38 Applications Extrema of Functions of Two Variables 39 Lagrange Multipliers 40 Iterated Integrals and Area in the Plane 41 Double Integrals and Volume 42 Change of Variables-Polar Coordinates 43 Surface Area 44 Triple Integrals and Applications 45 Cylindrical and Spherical Coordinates 46 Triple Integrals in Cylindical and Spherical Coordinates 47 Change of Variable-Jacobians 48 Vector Fields 49 Line Integrals
50 Conservative Vector
Fields and
51 Green's Theorem 52 Parametric Surfaces 53 Surface Integrals 54 Divergence Theorem 55 Stoke's Theorem |