Precalculus Course

Learn Precalculus in this full college course. These concepts are often used in programming. 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 ⭐️ Lecture Notes ⭐️ 🔗 Part 1 - Functions: http://lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part1_Functions.pdf 🔗 Part 2 - Trigonometry: http://lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part2_Trig.pdf 🔗 Part 3 - Conic Sections: http://lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part3_ConicSections.pdf 🔗 Part 4 - Parametric Equations, Polar Coordinates, and the Difference Quotient: http://lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part4_ParametricPolarDiffQuot.pdf ⭐️ Course Contents ⭐️ ⌨️ (0:00:00) Functions ⌨️ (0:12:06) Increasing and Decreasing Functions ⌨️ (0:17:35) Maximums and minimums on graphs ⌨️ (0:26:38) Even and Odd Functions ⌨️ (0:36:12) Toolkit Functions ⌨️ (0:43:18) Transformations of Functions ⌨️ (0:55:48) Piecewise Functions ⌨️ (1:00:19) Inverse Functions ⌨️ (1:14:34) Angles and Their Measures ⌨️ (1:22:47) Arclength and Areas of Sectors ⌨️ (1:28:39) Linear and Radial Speed ⌨️ (1:33:02) Right Angle Trigonometry ⌨️ (1:40:38) Sine and Cosine of Special Angles ⌨️ (1:48:41) Unit Circle Definition of Sine and Cosine ⌨️ (1:54:11) Properties of Trig Functions ⌨️ (1:04:50) Graphs of Sine and Cosine ⌨️ (2:11:23) Graphs of Sinusoidal Functions ⌨️ (2:21:36) Graphs of Tan, Sec, Cot, Csc ⌨️ (2:30:29) Graphs of Transformations of Tan, Sec, Cot, Csc ⌨️ (2:39:02) Inverse Trig Functions ⌨️ (2:48:49) Solving Basic Trig Equations ⌨️ (2:55:49) Solving Trig Equations that Require a Calculator ⌨️ (3:05:44) Trig Identities ⌨️ (3:13:16) Pythagorean Identities ⌨️ (3:18:37) Angle Sum and Difference Formulas ⌨️ (3:26:33) Proof of the Angle Sum Formulas ⌨️ (3:31:09) Double Angle Formulas ⌨️ (3:38:39) Half Angle Formulas ⌨️ (3:44:50) Solving Right Triangles ⌨️ (3:51:24) Law of Cosines ⌨️ (4:01:24) Law of Cosines - old version ⌨️ (4:09:44) Law of Sines ⌨️ (4:17:34) Parabolas - Vertex, Focus, Directrix ⌨️ (4:29:24) Ellipses ⌨️ (4:40:33) Hyperbolas ⌨️ (4:54:23) Polar Coordinates ⌨️ (5:01:55) Parametric Equations ⌨️ (5:13:22) Difference Quotient -- Learn to code for free and get a developer job: https://www.freecodecamp.org Read hundreds of articles on programming: https://www.freecodecamp.org/news ❤️ Support for this channel comes from our friends at Scrimba – the coding platform that's reinvented interactive learning: https://scrimba.com/freecodecamp