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Calculus 2 - Full College Course

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Learn Calculus 2 in this full college course.

This course was created by Dr. Linda Green, a lecturer at the University of North Carolina at Chapel Hill. Check out her YouTube channel:    / @lindagreen7859  

⭐ Prerequisites ⭐
Algebra:    • College Algebra  Full Course  
Precalculus:    • Precalculus Course  
Calculus 1:    • Calculus 1  Full College Course  

⭐ Lecture Notes ⭐
Calculus 2 Notes: http://lindagreen.web.unc.edu/files/2...

⭐ Course Contents ⭐
⌨ (0:00:00) Area Between Curves
⌨ (0:11:11) Volumes of Solids of Revolution
⌨ (0:21:33) Volumes Using CrossSections
⌨ (0:31:34) Arclength
⌨ (0:39:50) Work as an Integral
⌨ (0:51:30) Average Value of a Function
⌨ (0:59:05) Proof of the Mean Value Theorem for Integrals
⌨ (1:04:55) Integration by Parts
⌨ (1:13:03) Trig Identities
⌨ (1:25:01) Proof of the Angle Sum Formulas
⌨ (1:29:37) Integrals Involving Odd Powers of Sine and Cosine
⌨ (1:36:21) Integrals Involving Even Powers of Sine and Cosine
⌨ (1:44:59) Special Trig Integrals
⌨ (1:47:36) Integration Using Trig Substitution
⌨ (1:56:21) Integrals of Rational Functions
⌨ (2:03:59) Improper Integrals Type 1
⌨ (2:10:13) Improper Integrals Type 2
⌨ (2:14:20) The Comparison Theorem for Integrals
⌨ (2:19:43) Sequences Definitions and Notation
⌨ (2:31:05) Series Definitions
⌨ (2:39:41) Sequences More Definitions
⌨ (2:46:06) Monotonic and Bounded Sequences Extra
⌨ (2:49:46) L'Hospital's Rule
⌨ (2:57:02) L'Hospital's Rule on Other Indeterminate Forms
⌨ (3:06:48) Convergence of Sequences
⌨ (3:30:38) Geometric Series
⌨ (3:43:32) The Integral Test
⌨ (3:56:48) Comparison Test for Series
⌨ (4:03:29) The Limit Comparison Test
⌨ (4:09:24) Proof of the Limit Comparison Test
⌨ (4:16:00) Absolute Convergence
⌨ (4:25:03) The Ratio Test
⌨ (4:30:22) Proof of the Ratio Test
⌨ (4:39:34) Series Convergence Test Strategy
⌨ (4:50:26) Taylor Series Introduction
⌨ (5:02:28) Power Series
⌨ (5:05:42) Convergence of Power Series
⌨ (5:21:07) Power Series Interval of Convergence Example
⌨ (5:30:46) Proofs of Facts about Convergence of Power Series
⌨ (5:36:19) Power Series as Functions
⌨ (5:43:36) Representing Functions with Power Series
⌨ (5:52:07) Using Taylor Series to find Sums of Series
⌨ (6:02:18) Taylor Series Theory and Remainder
⌨ (6:15:38) Parametric Equations
⌨ (6:27:06) Slopes of Parametric Curves
⌨ (6:32:47) Area under a Parametric Curve
⌨ (6:38:07) Arclength of Parametric Curves
⌨ (6:45:20) Polar Coordinates

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