## 1. 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: youtube.com/channel/UCkyLJh6hQS1TlhUZxOMjTFw

⭐️ Lecture Notes ⭐️

🔗 Part 1 - Functions: lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part1_Functions.pdf

🔗 Part 2 - Trigonometry: lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part2_Trig.pdf

🔗 Part 3 - Conic Sections: lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part3_ConicSections.pdf

🔗 Part 4 - Parametric Equations, Polar Coordinates, and the Difference Quotient: 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: freecodecamp.org

Read hundreds of articles on programming: freecodecamp.org/news

## 2. PreCalculus Full Course For Beginners

In mathematics education, #precalculus or college algebra 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.

⭐ Table of Contents ⭐

⌨️ (0:00:00) The real number system

⌨️ (0:08:24) Order of operations

⌨️ (0:16:31) Interval notation

⌨️ (0:24:19) Union and intersection

⌨️ (0:30:36) Absolute value

⌨️ (0:38:16) Absolute value inequalities

⌨️ (0:46:38) Fraction addition

⌨️ (0:55:06) Fraction multiplication

⌨️ (1:02:16) Fraction devision

⌨️ (1:10:46) Exponents

⌨️ (1:34:40) Lines

⌨️ (1:43:44) Expanding

⌨️ (1:52:00) Pascal's review

⌨️ (1:59:14) Polynomial terminology

⌨️ (2:08:22) Factors and roots

⌨️ (2:17:50) Factoring quadratics

⌨️ (2:28:54) Factoring formulas

⌨️ (2:37:30) Factoring by grouping

⌨️ (2:43:52) Polynomial inequalities

⌨️ (2:52:57) Rational expressions

⌨️ (3:00:12) Functions - introduction

⌨️ (3:04:05) Functions - Definition

⌨️ (3:10:08) Functions - examples

⌨️ (3:19:05) Functions - notation

⌨️ (3:27:21) Functions - Domain

⌨️ (3:34:43) Functions - Graph basics

⌨️ (3:44:33) Functions - arithmetic

⌨️ (3:53:00) Functions - composition

⌨️ (4:03:40) Fucntions - inverses

⌨️ (4:17:32) Functions - Exponential definition

⌨️ (4:27:25) Functions - Exponential properties

⌨️ (4:35:55) Functions - logarithm definition

⌨️ (4:44:00) Functions - logarithm properties

⌨️ (4:53:21) Functions - logarithm change of base

⌨️ (4:59:31) Functions - logarithm examples

⌨️ (5:09:29) Graphs polynomials

⌨️ (5:20:14) Graph rational

⌨️ (5:39:32) Graphs - common expamples

⌨️ (5:50:36) Graphs - transformations

⌨️ (5:58:37) Graphs of trigonometry function

⌨️ (6:08:20) Trigonometry - Triangles

⌨️ (6:16:04) Trigonometry - unit circle

⌨️ (6:25:14) Trigonometry - Radians

⌨️ (6:34:10) Trigonometry - Special angles

⌨️ (6:43:56) Trigonometry - The six functions

⌨️ (6:51:19) Trigonometry - Basic identities

⌨️ (6:57:15) Trigonometry - Derived identities

## 3. PreCalculus Lesson 1

This video is a review of the exponent laws and the rules for simplifying rationals in preparation for a course in calculus.

## 4. Precalculus Crash Course: Trigonometry full course

In this course you will learn about precalculus specially focusing on Trigonometry. You will have gentle introduction and deep dive into trigonometry. Enjoy this #precalculus course and leave your feedback.

Table of Contents:

Introduction to Trigonometry

4.1 - Video 1 - Angles

4.1 - Video 2 - Measuring Angles

4.1 - Video 3 - Angle Conversions

4.2 - Video 1 - The Unit Circle

4.2 - Video 2 - Special Coordinates on the Unit Circle

4.2 - Video 3 - Applications of the Unit Circle

4.3 - Video 1 - Introduction to Right Triangle Trigonometry

4.3 - Video 2 - Special Triangles

4.3 - Video 3 - Basic Trigonometric Identities

4.4 - Video 1 - Evaluating Trigonometric Functions from Points

4.4 - Video 2 - Reference Angles

4.4 - Video 3 - Calculating Trigonometric Functions Algebraically

4.5a - Video 1 - The Sine and Cosine Graphs

4.5a - Video 2 - Transformations of the Sine and Cosine Graphs

4.5a - Video 3 - The Fundamental Period

4.5b - Video 1 - Graphing by Key Values

4.5b - Video 2 - Examples of Graphing by Key Values

4.5b - Video 3 - Transformations of Graphs

4.6 - Video 1 - Graphing the Tangent Function

4.6 - Video 2 - Graphing the Cotangent Function

4.6 - Video 3 - Graphing the Secant and Cosecant Functions

4.7 - Video 1 - Inverses of Functions

4.7 - Video 2 - Inverse Trigonometric Functions

4.7 - Video 3 - Geometric Interpretations of Inverse Trigonometric Functions

4.8 - Video 1 - Solving Right Triangles

4.8 - Video 2 - Trigonometric Word Problem Preparation

4.8 - Video 3 - Trigonometric Word Problem Example

4.8 - Video 4 - Introduction to Simple Harmonic Motion

***************************

Author of this course: The Math Repository

Visit channel: youtube.com/channel/UCBvO3V-CAyAaoQP3Ekd9ZDA/playlists

**************************

## 5. Schaum's Outline PreCalculus

More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams.

McGraw-Hill is pleased to introduce Schaum's Outline of Precalculus Enhanced E-book, featuring 30 videos of instructors working through common precalculus problems.

In this video we are solving an exponents problem.

## 6. Precalculus Final Exam Review

This precalculus final exam review covers topics on logarithms, graphing functions, domain and range, arithmic sequences, geometric series, asymptotes, and more.

Get The Full Video on Patreon:

patreon.com/MathScienceTutor

Direct Link to Part 1:

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Direct Link to Part 2:

bit.ly/3jvlsNl

Precalculus Final Exam Review Part 1 - Questions 1-30:

youtube.com/watch?v=4CvrM4l_SZc

Precalculus Final Exam Review Part 2 - Questions 31-54:

youtube.com/watch?v=H3mkE2yzpPw

Join The Membership Program:

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## 7. Algebra 2 Introduction, Basic Review, Factoring, Slope, Absolute Value, Linear, Quadratic Equations

This algebra 2 introduction / basic review lesson video tutorial covers topics such as solving linear equations, absolute value equations, inequalities, and quadratic equations. It shows you how to factor trinomials and polynomials in addition to simplify rational and radical expressions. This video contains a ton of examples and practice problems.

Algebra Review:

video-tutor.net/algebra-for-beginners-basic-introduction.html

Here is a list of topics:

1. Algebra 2 Introduction - Basic Review lesson

2. Solving Linear Equations With Variables, Parentheses and Fractions

3. Solving and Graphing Inequalities on a Number line

4 Solving Absolute Value Equations With Inequalities

5. Calculating the Slope Between Two Points With Fractions

6. Writing Linear Equations In Slope Intercept Form, Point Slope Form, and Standard Form

7. Parallel and Perpendicular Lines

8. Rate of Change Problems - Formula & Calculations

9. Graphing Linear Equations Using the Slope and Y Intercept

10. Graphing Linear Equations Using X and Y Intercepts

11. Horizontal and Vertical Lines

12. Graphing Absolute Value Equations

13. Parent Functions and Transformations

14. Systems of Equations - Substitution, Elimination and Graphically - Point of Intersection

15. Horizontal and Vertical Shifts - Reflection about X and Y axis

16. Factoring Binomials - Difference of Perfect Squares Method

17. Factoring Trinomials - Leading Coefficient

18. Factoring By Grouping and GCF Method

19. Factoring Polynomials - Cubic and With Synthetic Division

20. Solving Quadratic Equations By Factoring

21. Solving Quadratic Equations By Completing The Square

22. Factoring Quadratic Expressions Using the Quadratic Formula

23. Graphing Quadratic Equations In Standard and Vertex Form

24. Vertex, Axis of Symmetry, Maximum and Minimum Values

25. Domain and Range of Linear, Absolute Value and Quadratic Equations - Interval Notation

26. Discriminant Formula - Real Solutions vs Imaginary Solutions

27. Imaginary Numbers - Adding, Subtracting, Multiplying, Dividing and Simplifying

28. Graphing Complex Numbers - Absolute Value Calculation

29. Exponent Properties - Multiplying and Dividing

30. Negative Exponents - Simplifying

31. Zeros of Polynomial Functions

32. List of Possible Rational Zeros

33. Synthetic Division and Long Division

34. Factoring Cubic Polynomials Using Synthetic Division and Factoring By Grouping

35. Evaluating Functions Using Synthetic Division

36. Inverse Functions

37. Composite Functions - F(g(x))

38. Evaluating Logarithmic Functions

39. Properties of Logarithms

40. Condensing, Expanding and Solving Logarithmic Equations

41. Simplifying Radical Expressions and Solving Radical Equations

42. Graphing Square Root / Radical Equations With Transformation - Domain and Range

43. Simplifying Rational Expressions and Solving Rational Equations

44. Rational Expressions - Adding, Subtracting, Multiplying and Dividing

45. Rationalizing the Denominator

46. Graphing Rational Equations

47. Horizontal and Vertical Asymptotes Plus Holes

Disclaimer: Some of the links associated with this video may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.

## 8. How To Figure Out Math Proofs On Your Own

In this video I provide several strategies that you can use in order to figure out proofs. Note that this is a response to an email I received from a subscriber. Do you have any advice for people? If so, please leave a comment below.

If you enjoyed this video please consider liking, sharing, and subscribing.

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Donate via PayPal: paypal.com/donate/?cmd=_s-xclick&hosted_button_id=7XNKUGJUENSYU

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## 9. Become a Calculus Master in 60 Minutes a Day

In this video I go over how to become much better at calculus by spending about 60 minutes a day.

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Abstract Algebra Course

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Advanced Calculus Course

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## 10. Learn Functions – Understand In 7 Minutes

Learning about functions is critical in math, especially in Algebra. Many students struggle with the concept of what a function is and how to determine is a relation is a function. This video will explain in detail the foundation of what a function is in algebra to include how to evaluate a function and what the domain and range represent with respect to functions.

TabletClass Math Algebra:

tabletclass-academy.teachable.com/p/tabletclass-math-algebra1

## 11. Calculus 1 - 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: youtube.com/channel/UCkyLJh6hQS1TlhUZxOMjTFw

This course combines two courses taught by Dr. Green. She teaches both Calculus 1 and a Calculus 1 Corequisite course, designed to be taken at the same time. In this video, the lectures from the Corquisite course, which review important Algebra and Trigonometry concepts, have been interspersed with the Calculus 1 lectures at the places suggested by Dr. Green.

⭐️ Prerequisites ⭐️

🎥 Algebra: youtube.com/watch?v=LwCRRUa8yTU

🎥 Precalculus: youtube.com/watch?v=eI4an8aSsgw

⭐️ Lecture Notes ⭐️

🔗 Calculus 1 Corequisite Notes: lindagreen.web.unc.edu/files/2020/08/courseNotes_math231L_2020Fall.pdf

🔗 Calculus 1 Notes: lindagreen.web.unc.edu/files/2019/12/courseNotes_m231_2018_S.pdf

⭐️ Course Contents ⭐️

(0:00:00) [Corequisite] Rational Expressions

(0:09:40) [Corequisite] Difference Quotient

(0:18:20) Graphs and Limits

(0:25:51) When Limits Fail to Exist

(0:31:28) Limit Laws

(0:37:07) The Squeeze Theorem

(0:42:55) Limits using Algebraic Tricks

(0:56:04) When the Limit of the Denominator is 0

(1:08:40) [Corequisite] Lines: Graphs and Equations

(1:17:09) [Corequisite] Rational Functions and Graphs

(1:30:35) Limits at Infinity and Graphs

(1:37:31) Limits at Infinity and Algebraic Tricks

(1:45:34) Continuity at a Point

(1:53:21) Continuity on Intervals

(1:59:43) Intermediate Value Theorem

(2:03:37) [Corequisite] Right Angle Trigonometry

(2:11:13) [Corequisite] Sine and Cosine of Special Angles

(2:19:16) [Corequisite] Unit Circle Definition of Sine and Cosine

(2:24:46) [Corequisite] Properties of Trig Functions

(2:35:25) [Corequisite] Graphs of Sine and Cosine

(2:41:57) [Corequisite] Graphs of Sinusoidal Functions

(2:52:10) [Corequisite] Graphs of Tan, Sec, Cot, Csc

(3:01:03) [Corequisite] Solving Basic Trig Equations

(3:08:14) Derivatives and Tangent Lines

(3:22:55) Computing Derivatives from the Definition

(3:34:02) Interpreting Derivatives

(3:42:33) Derivatives as Functions and Graphs of Derivatives

(3:56:25) Proof that Differentiable Functions are Continuous

(4:01:09) Power Rule and Other Rules for Derivatives

(4:07:42) [Corequisite] Trig Identities

(4:15:14) [Corequisite] Pythagorean Identities

(4:20:35) [Corequisite] Angle Sum and Difference Formulas

(4:28:31) [Corequisite] Double Angle Formulas

(4:36:01) Higher Order Derivatives and Notation

(4:39:22) Derivative of e^x

(4:46:52) Proof of the Power Rule and Other Derivative Rules

(4:56:31) Product Rule and Quotient Rule

(5:02:09) Proof of Product Rule and Quotient Rule

(5:10:40) Special Trigonometric Limits

(5:17:31) [Corequisite] Composition of Functions

(5:29:54) [Corequisite] Solving Rational Equations

(5:40:02) Derivatives of Trig Functions

(5:46:23) Proof of Trigonometric Limits and Derivatives

(5:54:38) Rectilinear Motion

(6:11:41) Marginal Cost

(6:16:51) [Corequisite] Logarithms: Introduction

(6:25:32) [Corequisite] Log Functions and Their Graphs

(6:36:17) [Corequisite] Combining Logs and Exponents

(6:40:55) [Corequisite] Log Rules

(6:49:27) The Chain Rule

(6:58:44) More Chain Rule Examples and Justification

(7:07:43) Justification of the Chain Rule

(7:10:00) Implicit Differentiation

(7:20:28) Derivatives of Exponential Functions

(7:25:38) Derivatives of Log Functions

(7:29:38) Logarithmic Differentiation

(7:37:08) [Corequisite] Inverse Functions

(7:51:22) Inverse Trig Functions

(8:00:56) Derivatives of Inverse Trigonometric Functions

(8:12:11) Related Rates - Distances

(8:17:55) Related Rates - Volume and Flow

(8:22:21) Related Rates - Angle and Rotation

(8:28:20) [Corequisite] Solving Right Triangles

(8:34:54) Maximums and Minimums

(8:46:18) First Derivative Test and Second Derivative Test

(8:51:37) Extreme Value Examples

(9:01:33) Mean Value Theorem

(9:09:09) Proof of Mean Value Theorem

(0:14:59) [Corequisite] Solving Right Triangles

(9:25:20) Derivatives and the Shape of the Graph

(9:33:31) Linear Approximation

(9:48:28) The Differential

(9:59:11) L'Hospital's Rule

(10:06:27) L'Hospital's Rule on Other Indeterminate Forms

(10:16:13) Newtons Method

(10:27:45) Antiderivatives

(10:33:24) Finding Antiderivatives Using Initial Conditions

(10:41:59) Any Two Antiderivatives Differ by a Constant

(10:45:19) Summation Notation

(10:49:12) Approximating Area

(11:04:22) The Fundamental Theorem of Calculus, Part 1

(11:15:02) The Fundamental Theorem of Calculus, Part 2

(11:22:17) Proof of the Fundamental Theorem of Calculus

(11:29:18) The Substitution Method

(11:38:07) Why U-Substitution Works

(11:40:23) Average Value of a Function

(11:47:57) Proof of the Mean Value Theorem for Integrals

## 12. The Map of Mathematics

The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.

#mathematics #DomainOfScience

If you would like to buy a poster of this map, they are available here:

North America: store.dftba.com/products/map-of-mathematics-poster

Everywhere else: redbubble.com/people/dominicwalliman/works/25095968-the-map-of-mathematics

French version: redbubble.com/people/dominicwalliman/works/40572671-the-map-of-mathematics-french-version?asc=u

Spanish Version: redbubble.com/people/dominicwalliman/works/40572693-the-map-of-mathematics-spanish-version?asc=u

I have also made a version available for educational use which you can find here: flickr.com/photos/[email protected]/32264483720/in/dateposted-public/

To err is to human, and I human a lot. I always try my best to be as correct as possible, but unfortunately I make mistakes. This is the errata where I correct my silly mistakes. My goal is to one day do a video with no errors!

1. The number one is not a prime number. The definition of a prime number is a number can be divided evenly only by 1, or itself. And it must be a whole number GREATER than 1. (This last bit is the bit I forgot).

2. In the trigonometry section I drew cos(theta) = opposite / adjacent. This is the kind of thing you learn in high school and guess what. I got it wrong! Dummy. It should be cos(theta) = adjacent / hypotenuse.

3. My drawing of dice is slightly wrong. Most dice have their opposite sides adding up to 7, so when I drew 3 and 4 next to each other that is incorrect.

4. I said that the Gödel Incompleteness Theorems implied that mathematics is made up by humans, but that is wrong, just ignore that statement. I have learned more about it now, here is a good video explaining it: youtu.be/O4ndIDcDSGc

5. In the animation about imaginary numbers I drew the real axis as vertical and the imaginary axis as horizontal which is opposite to the conventional way it is done.

Thanks so much to my supporters on Patreon. I hope to make money from my videos one day, but I’m not there yet! If you enjoy my videos and would like to help me make more this is the best way and I appreciate it very much. patreon.com/domainofscience

Here are links to some of the sources I used in this video.

Links:

Summary of mathematics: en.wikipedia.org/wiki/Mathematics

Earliest human counting: mathtimeline.weebly.com/early-human-counting-tools.html

First use of zero: en.wikipedia.org/wiki/0#History livescience.com/27853-who-invented-zero.html

First use of negative numbers: quora.com/Who-is-the-inventor-of-negative-numbers

Renaissance science: en.wikipedia.org/wiki/History_of_science_in_the_Renaissance

History of complex numbers: rossroessler.tripod.com/ en.wikipedia.org/wiki/Mathematics

Proof that pi is irrational: quora.com/How-do-you-prove-that-pi-is-an-irrational-number

and en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Laczkovich.27s_proof

Also, if you enjoyed this video, you will probably like my science books, available in all good books shops around the work and is printed in 16 languages. Links are below or just search for Professor Astro Cat. They are fun children's books aimed at the age range 7-12. But they are also a hit with adults who want good explanations of science. The books have won awards and the app won a Webby.

Frontiers of Space: nobrow.net/shop/professor-astro-cats-frontiers-of-space/

Atomic Adventure: nobrow.net/shop/professor-astro-cats-atomic-adventure/

Intergalactic Activity Book: nobrow.net/shop/professor-astro-cats-intergalactic-activity-book/

Solar System App: minilabstudios.com/apps/professor-astro-cats-solar-system/

Find me on twitter, instagram, and my website:

dominicwalliman.com

twitter.com/DominicWalliman

instagram.com/dominicwalliman

facebook.com/dominicwalliman

## 13. PreCalculus Full Course For Beginners

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 ⭐️

Join our FB Group: facebook.com/groups/cslesson

Like our FB Page: facebook.com/cslesson/

Website: cslesson.org

## 14. Trigonometry full course for Beginners

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of #triangles. Throughout history, #trigonometry has been applied in areas such as geodesy, surveying, celestial mechanics, and navigation. Trigonometry is known for its many identities, which are equations used for rewriting #trigonometrical expressions to solve equations, to find a more useful expression, or to discover new relationships.

In this trigonometry full course you will learn everything of trigonometry in details. The following topics of trigonometry have been discussed in this course.

⭐️ Table of Contents ⭐

(0:00) Angles

(26:32) Right triangle Trigonometry

(53:03) Law of Sines

(1:14:10) Law of Cosines

(1:30:22) Points on a circle

(2:00:47) Others trigonometry functions

(2:17:19) Graphs of sinx and cosx

(2:50:00) Graphs of tan, cot, sec

(3:13:17) Invers trigonometric function

(3:33:39) Solve trig equations

(3:53:49) Modeling with trigonometry

(4:11:10) Solve trig equations with identities

(4:30:58) Finding new identities

(5:03:18) More identities

(5:24:56) Using identities

(5:57:59) Finding new identities

(6:10:20) More identities

(6:31:51) Review trigonometry function

(6:53:53) Riview trig proofs

(7:08:03) Polar coordinates

(7:34:56) Polar form of complex numbers

(7:57:25) DeMivre's theorem

(8:15:18) Sequences

(8:35:23) Series

(8:52:00) Arithmetic Series

(9:10:26) Geometric Series

(9:26:18) Mathematical induction

⭐️ Credit ⭐

Author: Tyler Wallace

License: Creative Commons Attribution license (reuse allowed)

Website: youtube.com/user/wallacemath

⭐️ Join Us ⭐️

Join our FB Group: facebook.com/groups/cslesson

Like our FB Page: facebook.com/cslesson/

Website: cslesson.org

## 15. Best Free CLEP Pre-calculus Study Guide

►CLEP Pre-calculus Study Guide - mometrix.com/studyguides/clep/

►CLEP Pre-calculuss Flashcards - flashcardsecrets.com/clep/

Right Triangle Word Problem 0:02

Absolute Value 4:29

Domain and Range 7:23

Graphing Solutions to Linear Inequalities 10:54

Graphing the Inverse of a Function 18:16

Graphs of Functions 23:51

Linear Equations 27:00

Rational Numbers 31:24

Solving a Quadratic Inequality 35:35

Solving Problems with Quadratic Equations 39:28

Square Root and Perfect Square 43:11

Unit Circles and Standard Position 46:14

For your convenience, we have compiled several CLEP Pre-calculus videos into a CLEP Pre-calculus Study Guide for you to study all at once.

►CLEP College Math: youtu.be/UU2cVLf4xRU

►CLEP Natural Sciences: youtu.be/Hrbbyc8jCDM

►CLEP Chemistry: youtu.be/pg2oYgv4umQ

►CLEP Biology: youtu.be/AI9PHhR4_hM

►CLEP Western Civilization 1: youtu.be/NqyDSkw5u-c

►CLEP Western Civilization 2: youtu.be/4clIDVCVeZ4

►CLEP Social Sciences and History Part 1: youtu.be/U9JiRe-oIpU

►CLEP Social Sciences and History Part 2: youtu.be/baV20oJv0yg

►CLEP Humanities: youtu.be/Nbs3Pr9HeuQ

►CLEP Human Growth and Development: youtu.be/sz8HCYAH1ko

►CLEP English Literature: youtu.be/n6872WzjAjE

►CLEP College Composition: youtu.be/eCGqr2dcQ48

►CLEP Analyzing Literature: youtu.be/C_KY9MUATw4

►CLEP U.S. History 2: youtu.be/cH3GF5VQOuM

►CLEP U.S. History 1: youtu.be/OTU3ECgVkVE

►CLEP American Government: youtu.be/lxdiYzktvwcv

#mometrixtestprep #mometrixclep #clep #clepexam #cleptest #clepreview #clepprep #cleppractice #clepstudy #cleppracticetest