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)

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⭐️ 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

AcademicLesson
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I basically just cried by how much effort you put it in😭. So much nice content.

rabiranjanpattanaik
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MAM I AM JUST 14 YEARS OLD I WILL SEE YOUR EVERY VIDEOS AND THE VIDEOS WAS VERY VERY NICE AND I AM IN INDIA FROM TAMIL NADU .

asuslaptop
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i have to take the act as a sophomore for ccp courses, and we haven't learned precalc yet, so this is a lifesaver. I've asked a couple of people who've taken the act in recent years what was on it, and they said geometry (which i learned last year) and a lot of precalc stuff. Thank you!

hipeople
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This is from free code boot camp so cool y’all have collabed . Thank you for all you do, y’all are incredible people that I’m eternally grateful for. Learning is interesting and I will continue to do so until the every end.

daughteroftheking
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I havent taken math since highschool back in 2006, Im just now going for a bachelors in Computer Science and calculus is a requirement, got to admit I'm pretty nervous about this class...I want to learn it but this is intimidating

exiawildfire
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Thank you so much! I haven't done a math class in forever and really needed this.

SusanDeguchi
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This is a great video, I am 12 years old and I am learning pre calculus and calculus, I want to learn them to use them in quantum physics equations

smartscience
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Very helpful, I needed this before starting my applied business Calculus class. Thank you. 🙏

Tactical_DZ
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Excellent presentation mam .. love and respect from India.

santhoshkumarp
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This is the most helpful thing I’ve ever come across

jennabaynham
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1:24:37 The answer should have been 20 m and not 10 m

rabiranjanpattanaik
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This is the type of content that I don't mind watching ads for

LeoA
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Can you suggest any good book after I complete the precalculus for better understanding of calculus. Is J. Stewart a good book?

rabiranjanpattanaik
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Thank you very Very Much as I was not able to understand Calculus and you made understand 🙏🙏🥰

anantapadmanabhmyatagiri
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11:04

just writing where i left off

cheesymobro
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At 25:54, even though that's not considered an actual point, isn't it still technically the lowest absolute value at 1.5?

beowulf
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Hi I’m confused on where the 6a comes from in the functions part if she squares a and the 3

diegomexiko
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Why does it seem similar to trigonometry.

jack
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Taking an online Pre-Cal course and absolutely failed at teaching myself lol

NickieMonee