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
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