Calculus 2 Videos Over 29 Hours 46 Topics
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The Calc 2 vids prepares a student to be successful in Calc III,
Physics and beyond. Topic covered include Rules of
Integration, Arc Length, Limits of Trig Functions, Sequences
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
lectures you can see this. I hope to ignite some passion in the
student too who is taking math at this level.
Topics in Calc 2 Over 29 Hours46 Topics
 Basic Sigma Notations
 Using Sigma Notation
 Area using upper and lower rectangles
 Calculating Area Using Limits
 Rules of Integration
 Integration by Substitution
 Trapezoidal Rule
 Simpson Rule, n = even
 Area of a Region Between Two Curves
 The Disc Method
 Shell Method
 Volume of Solids With Known Cross Sectional Area
 Arc Length
 Exponential Functions
 Differentiation & Integration of Exponential Functions
 Inverse Functions
 Logarithmic Functions
 Laws of Logarithms
 Differentiation of Logarithmic Functions
 Integration of Logarithmic Functions
 Indeterminate Form & L'Hopital's Rule
 Limits of Trig Functions
 Derivatives of Trig Functions
 Integrals of Trig Functions
 Trig Inverses
 Derivatives of Trig Inverse Functions
 Integrals of Trig Inverse Functions
 Hyperbolic Functions
 Basic Integration Formulas
 Integration By Parts
 Trigonometric Integrals
 Trigonometric Substitution
 Partial Fractions
 Improper Integrals
 Sequences
 Series and Convergence
 Integral Test and Pseries
 Comparison Tests
 Alternating Series
 Remainder for Alternating Series
 Absolute and Conditional Convergence
 Ratio and Root Test
 Taylor and Maclaurin Polynomials and Appoximations
 Power Series
 Representation of Functions by Power Series
 Taylor and Maclaurin Series
