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Table of Content:

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

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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

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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.

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Direct Link to Part 1:
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Direct Link to Part 2:
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Precalculus Final Exam Review Part 1 - Questions 1-30:
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Precalculus Final Exam Review Part 2 - Questions 31-54:
youtube.com/watch?v=H3mkE2yzpPw

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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

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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.

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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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