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PreCalculus Full Course For Beginners
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In mathematics education, #precalculus is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework. In this precalculus course following topics have been discussed in a very comprehensive way.
⭐️ Table of Content ⭐️
0:00 Functions
11:53 Increasing and Decreasing Functions
17:22 Maximums and minimums on graphs
26:25 Even and Odd Functions
35:39 Toolkit Functions
43:05 Transformations of Functions
55:34 Piecewise Functions
1:00:06 Inverse Functions
1:14:20 Angles and Their Measures
1:22:23 Arclength and Areas of Sectors
1:28:27 Linear and Radial Speed
1:32:49 Right Angle Trigonometry
1:40:24 Sine and Cosine of Special Angles
1:48:28 Unit Circle Definition of Sine and Cosine
1:53:58 Properties of Trig Functions
2:4:36 Graphs of Sine and Cosine
2:11:09 Graphs of Sinusoidal Functions
2:21:22 Graphs of Tan, Sec, Cot, Csc
2:30:15 Inverse Trig Functions
2:39:49 Pythagorean Identities
2:45:09 Angle Sum and Difference Formulas
2:53:06 Proof of the Angle Sum Formulas
2:57:41 Double Angle Formulas
3:05:11 Half Angle Formulas
3:11:23 Solving Right Triangles
3:17:57 Law of Cosines
3:27:57 Law of Cosines - old version
3:36:16 Law of Sines
3:44:06 Parabolas - Vertex, Focus, Directrix
3:55:56 Ellipses
4:7:05 Hyperbolas
4:20:55 Polar Coordinates
4:28:27 Parametric Equations
4:39:54 Difference Quotient
⭐️ Credit ⭐️
Author: Prof. Linda Green
License: Creative Commons Attribution license (reuse allowed)
⭐️ Join Us ⭐️
⭐️ Table of Content ⭐️
0:00 Functions
11:53 Increasing and Decreasing Functions
17:22 Maximums and minimums on graphs
26:25 Even and Odd Functions
35:39 Toolkit Functions
43:05 Transformations of Functions
55:34 Piecewise Functions
1:00:06 Inverse Functions
1:14:20 Angles and Their Measures
1:22:23 Arclength and Areas of Sectors
1:28:27 Linear and Radial Speed
1:32:49 Right Angle Trigonometry
1:40:24 Sine and Cosine of Special Angles
1:48:28 Unit Circle Definition of Sine and Cosine
1:53:58 Properties of Trig Functions
2:4:36 Graphs of Sine and Cosine
2:11:09 Graphs of Sinusoidal Functions
2:21:22 Graphs of Tan, Sec, Cot, Csc
2:30:15 Inverse Trig Functions
2:39:49 Pythagorean Identities
2:45:09 Angle Sum and Difference Formulas
2:53:06 Proof of the Angle Sum Formulas
2:57:41 Double Angle Formulas
3:05:11 Half Angle Formulas
3:11:23 Solving Right Triangles
3:17:57 Law of Cosines
3:27:57 Law of Cosines - old version
3:36:16 Law of Sines
3:44:06 Parabolas - Vertex, Focus, Directrix
3:55:56 Ellipses
4:7:05 Hyperbolas
4:20:55 Polar Coordinates
4:28:27 Parametric Equations
4:39:54 Difference Quotient
⭐️ Credit ⭐️
Author: Prof. Linda Green
License: Creative Commons Attribution license (reuse allowed)
⭐️ Join Us ⭐️
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