Calculus 2 – Full College Course



Learn Calculus 1 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: https://www.youtube.com/channel/UCkyLJh6hQS1TlhUZxOMjTFw ⭐️ Prerequisites ⭐️
🎥 Algebra: https://www.youtube.com/watch?v=LwCRRUa8yTU
🎥 Precalculus: https://www.youtube.com/watch?v=eI4an8aSsgw
🎥 Calculus 1: https://www.youtube.com/watch?v=HfACrKJ_Y2w ⭐️ Lecture Notes ⭐️
🔗 Calculus 2 Notes: http://lindagreen.web.unc.edu/files/2020/08/courseNotes_m232_2018F.pdf ⭐️ Course Contents ⭐️
⌨️ (0:00:00) Area Between Curves
⌨️ (0:11:16) Volumes of Solids of Revolution
⌨️ (0:21:38) Volumes Using Cross-Sections
⌨️ (0:31:39) Arclength
⌨️ (0:39:55) Work as an Integral
⌨️ (0:51:35) Average Value of a Function
⌨️ (0:59:10) Proof of the Mean Value Theorem for Integrals
⌨️ (1:05:00) Integration by Parts
⌨️ (1:13:08) Trig Identities
⌨️ (1:25:06) Proof of the Angle Sum Formulas
⌨️ (1:29:42) Integrals Involving Odd Powers of Sine and Cosine
⌨️ (1:36:26) Integrals Involving Even Powers of Sine and Cosine
⌨️ (1:45:04) Special Trig Integrals
⌨️ (1:47:41) Integration Using Trig Substitution
⌨️ (1:56:26) Integrals of Rational Functions
⌨️ (2:04:04) Improper Integrals – Type 1
⌨️ (2:10:18) Improper Integrals – Type 2
⌨️ (2:14:25) The Comparison Theorem for Integrals
⌨️ (2:19:48) Sequences – Definitions and Notation
⌨️ (2:31:10) Series Definitions
⌨️ (2:39:46) Sequences – More Definitions
⌨️ (2:46:11) Monotonic and Bounded Sequences Extra
⌨️ (2:49:51) L'Hospital's Rule
⌨️ (2:57:07) L'Hospital's Rule on Other Indeterminate Forms
⌨️ (3:06:53) Convergence of Sequences
⌨️ (3:30:43) Geometric Series
⌨️ (3:43:37) The Integral Test
⌨️ (3:56:53) Comparison Test for Series
⌨️ (4:03:34) The Limit Comparison Test
⌨️ (4:09:29) Proof of the Limit Comparison Test
⌨️ (4:16:05) Absolute Convergence
⌨️ (4:25:08) The Ratio Test
⌨️ (4:30:27) Proof of the Ratio Test
⌨️ (4:39:39) Series Convergence Test Strategy
⌨️ (4:50:31) Taylor Series Introduction
⌨️ (5:02:33) Power Series
⌨️ (5:05:47) Convergence of Power Series
⌨️ (5:21:12) Power Series Interval of Convergence Example
⌨️ (5:30:51) Proofs of Facts about Convergence of Power Series
⌨️ (5:36:24) Power Series as Functions
⌨️ (5:43:41) Representing Functions with Power Series
⌨️ (5:52:12) Using Taylor Series to find Sums of Series
⌨️ (6:02:23) Taylor Series Theory and Remainder
⌨️ (6:15:43) Parametric Equations
⌨️ (6:27:11) Slopes of Parametric Curves
⌨️ (6:32:52) Area under a Parametric Curve
⌨️ (6:38:12) Arclength of Parametric Curves
⌨️ (6:45:25) Polar Coordinates

Calculus 2 – Full College Course

Calculus 2 – Full College Course

 

 

 

 

 

 

 

 

 

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