Precalculus - College Algebra/Trigonometry

A Complete Video Series intended to prepare students for Calculus 1. The playlist will cover both College Algebra and Trigonometry.

Curated by: Professor Leonard (115 videos)

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Currently Playing: Introduction to Angles (Precalculus - Trigonometry 1)

An introduction to Angles and their usage from standard position on the rectangular coordinate system. Support: https://www.patreon.com/ProfessorLeonard

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Tracks in this Playlist

• Intro to Precalculus (Precalculus - College Algebra 1)
• Introduction to Functions (Precalculus - College Algebra 2)
• How to Evaluate Functions (Precalculus - College Algebra 3)
• Finding the Domain of Functions (Precalculus - College Algebra 4)
• Operations of Functions (Precalculus - College Algebra 5)
• Using the Vertical Line Test (Precalculus - College Algebra 6)
• Features of Graphs, Domain, Range (Precalculus - College Algebra 7)
• Properties of Functions - Even vs Odd (Precalculus - College Algebra 8)
• Properties of Functions - Increasing vs Decreasing (Precalculus - College Algebra 9)
• Properties of Functions - Extrema (Precalculus - College Algebra 10)
• Average Rate of Change of a Function (Precalculus - College Algebra 11)
• How to Graph Piecewise Functions (Precalculus - College Algebra 12)
• Graphs You Must Know (Precalculus - College Algebra 13)
• Introduction to Graph Transformations (Precalculus - College Algebra 14)
• How to Graph with Transformations (Precalculus - College Algebra 15)
• Introduction to Solving Quadratics (Precalculus - College Algebra 16)
• The Square Root Method in Solving Quadratics (Precalculus - College Algebra 17)
• Using Factoring to Solve Quadratics (Precalculus - College Algebra 18)
• Completing the Square Made Easy (Precalculus - College Algebra 19)
• Proving the Quadratic Formula - Twice (Precalculus - College Algebra 20)
• Using the Quadratic Formula (Precalculus - College Algebra 21)
• Finding Intersections of Functions (Precaluclus - College Algebra 22)
• Using Substitutions to Solve Equations (Precalculus - College Algebra 23)
• Graphing Quadratic Functions (Precalculus - College Algebra 24)
• Solving Quadratic Inequalities (Precalculus - College Algebra 25)
• Applications of Quadratic Functions (Precalculus - College Algebra 26)
• Introduction to Polynomial Functions (Precalculus - College Algebra 27)
• Power Functions (Precalculus - College Algebra 28)
• Multiplicity and End Behavior of Polynomials (Precalculus - College Algebra 29)
• Creating Polynomials from Real Zeros (Precalculus - College Algebra 30)
• How to Sketch Polynomial Functions (Precalculus - College Algebra 31)
• Synthetic Division and Long Division of Polynomials (Precalculus - College Algebra 32)
• Descartes Rule of Signs (Precalculus - College Algebra 33)
• How to Use the Rational Zeros Theorem (Precalculus - College Algebra 34)
• Introduction to Complex Solutions of Polynomials (Precalculus - College algebra 35)
• Creating Polynomials from Complex Solutions (Precalculus - College Algebra 36)
• Finding ALL Solutions of Polynomials (Precalculus - College Algebra 37)
• Finding Vertical Asymptotes of Rational Functions (Precalculus - College Algebra 38)
• Graphing Rational Functions with Transformations (Precalculus - College Algebra 39)
• Finding a Horizontal Asymptote of a Rational Function (Precalculus - College Algebra 40)
• Finding an Oblique Asymptote of a Rational Function (Precalculus - College Algebra 41)
• Finding End Behavior of Rational Functions (Precalculus - College Algebra 42)
• Finding Asymptotes and Holes of Rational Functions (Precalculus - College Algebra 43)
• Graphing Rational Functions (Precalculus - College Algebra 44)
• Inequalities with Functions - Graphically (Precalculus - College Algebra 45)
• Inequalities with Polynomial Functions (Precalculus - College Algebra 46)
• Inequalities with Rational Functions (Precalculus - College Algebra 47)
• Composition of Functions (Precalculus - College Algebra 48)
• Finding Domain of Composite Functions (Precalculus - College Algebra 49)
• One to One Functions (Precalculus - College Algebra 50)
• Finding Inverse Functions (Precalculus - College Algebra 51)
• Graphs of Exponential Functions (Precalculus - College Algebra 52)
• Graphing Exponential Functions with Transformations (Precalculus -College Algebra 53)
• Solving Exponential Equations with Common Bases (Precalculus - College Algebra 54)
• Introduction to Logarithms and Their Graphs (Precalculus - College Algebra 55)
• Graphing Logarithms with Transformations (Precalculus - College Algebra 56)
• Introduction to Solving Logarithms and Exponentials (Precalculus - College Algebra 57)
• Properties of Logarithms (Precalculus - College Algebra 58)
• How to Expand Logarithms (Precalculus - College Algebra 59)
• How to Combine Logarithms (Precalculus - College Algebra 60)
• How to Change the Base of a Logarithm (Precalculus - College Algebra 61)
• Solving Logarithms with Common Bases (Precalculus - College Algebra 62)
• Solving Logarithmic Equations with Exponentials (Precalculus - College Algebra 63)
• Solving Exponential Equations with Logarithms (Precalculus - College Algebra 64)
• Review of Compound Interest (Precalculus - College Algebra 65)
• Exponential Growth and Decay (Precalculus - College Algebra 66)
• Introduction to Sequences (Precalculus - College Algebra 67)
• Introduction to Series and Summation Notation (Precalculus - College Algebra 68)
• Arithmetic Sequences (Precalculus - College Algebra 69)
• Arithmetic Series (Precalculus - College Algebra 70)
• Geometric Sequences (Precalculus - College Algebra 71)
• Geometric Series (Precalculus - College Algebra 72)
• Proof by Mathematical Induction (Precalculus - College Algebra 73)
• Introduction to Angles (Precalculus - Trigonometry 1)
• Converting Degrees, Minutes, and Seconds (Precalculus - Trigonometry 2)
• Introduction to Radians (Precalculus - Trigonometry 3)
• Converting Radians and Degrees (Precalculus - Trigonometry 4)
• Area of a Sector, Angular Velocity, Applications (Precalculus - Trigonometry 5)
• Trigonometric Functions and the Unit Circle (Precalculus - Trigonometry 6)
• How to Use the Unit Circle in Trigonometry (Precalculus - Trigonometry 7)
• Basic Properties of Trigonometric Functions (Precalculus - Trigonometry 8)
• Reciprocal Identities in Trigonometry (Precalculus - Trigonometry 9)
• Pythagorean Identities for Trigonometric Functions (Precalculus - Trigonometry 10)
• The Graphs of Sine and Cosine (Precalculus - Trigonometry 11)
• Graphing Transformations with Sine and Cosine (Precalculus - Trigonometry 12)
• How to Graph Tangent and Cotangent (Precalculus - Trigonometry 13)
• Graphing Transformations with Tangent and Cotangent (Precalculus - Trigonometry 14)
• How to Graph Cosecant and Secant (Precalculus - Trigonometry 15)
• How to Graph Phase Shifts of Trigonometric Functions (Precalculus - Trigonometry 16)
• Introduction to Inverse Trigonometric Functions (Precalculus - Trigonometry 17)
• How to Use Inverse Trigonometric Functions (Precalculus - Trigonometry 18)
• How to Find Inverse Trigonometric Functions (Precalculus - Trigonometry 19)
• How to Solve Basic Inverse Trigonometric Functions (Precalculus - Trigonometry 20)
• An Indepth Look at Using Inverse Trig Functions (Precalculus - Trigonometry 21)
• How to Solve Trigonometric Equations (Precalculus - Trigonometry 22)
• Introduction to Using Trigonometric Identities (Precalculus - Trigonometry 23)
• How to Prove Trigonometric Identities (Precalculus - Trigonometry 24)
• Introduction to Sum and Difference Formulas in Trigonometry (Precalculus - Trigonometry 25)
• Using Sum and Difference Formulas in Trigonometry (Precalculus - Trigonometry 26)
• Proving the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 27)