Youtor
Calculus 2 Full College Course
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=7gigNsz4Oe8
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 Cross-Sections • ⌨️ (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 • ❤️ Support for this channel comes from our friends at Scrimba – the coding platform that's reinvented interactive learning: https://scrimba.com/freecodecamp
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