Precalculus (English)

   Wednesday, December 20, 2023   

Starting a new Lecture Notes Series on Precalculus

Youtube Lecture Playlist Credits 

Channel Name: Professor Leonard

So Let Us Start to This Journey of Learning 

Precalculus By Lecture Notes together!

Lecture 1: Intro to Precalculus (Precalculus - College Algebra 1)

Lecture 2: Introduction to Functions (Precalculus - College Algebra 2)

Lecture 3: How to Evaluate Functions (Precalculus - College Algebra 3)

Lecture 4: Finding the Domain of Functions (Precalculus - College Algebra 4)

Lecture 5: Operations of Functions (Precalculus - College Algebra 5)

Lecture 6: Using the Vertical Line Test (Precalculus - College Algebra 6)

Lecture 7: Features of Graphs, Domain, Range (Precalculus - College Algebra 7)

Lecture 8: Properties of Functions - Even vs Odd (Precalculus - College Algebra 8)

Lecture 9: Properties of Functions - Increasing vs Decreasing (Precalculus - College Algebra 9)

Lecture 10: Properties of Functions - Extrema (Precalculus - College Algebra 10)

Lecture 11: Average Rate of Change of a Function (Precalculus - College Algebra 11)

Lecture 12: How to Graph Piecewise Functions (Precalculus - College Algebra 12)

Lecture 13: Graphs You Must Know (Precalculus - College Algebra 13)

Lecture 14: Introduction to Graph Transformations (Precalculus - College Algebra 14)

Lecture 15: How to Graph with Transformations (Precalculus - College Algebra 15)

Lecture 16: Introduction to Solving Quadratics (Precalculus - College Algebra 16)

Lecture 17: The Square Root Method in Solving Quadratics (Precalculus - College Algebra 17)

Lecture 18: Using Factoring to Solve Quadratics (Precalculus - College Algebra 18)

Lecture 19: Completing the Square Made Easy (Precalculus - College Algebra 19)

Lecture 20: Proving the Quadratic Formula - Twice (Precalculus - College Algebra 20)

Lecture 21: Using the Quadratic Formula (Precalculus - College Algebra 21)

Lecture 22: Finding Intersections of Functions (Precaluclus - College Algebra 22)

Lecture 23: Using Substitutions to Solve Equations (Precalculus - College Algebra 23)

Lecture 24: Graphing Quadratic Functions (Precalculus - College Algebra 24)

Lecture 25: Solving Quadratic Inequalities (Precalculus - College Algebra 25)

Lecture 26: Applications of Quadratic Functions (Precalculus - College Algebra 26)

Lecture 27: Introduction to Polynomial Functions (Precalculus - College Algebra 27)

Lecture 28: Power Functions (Precalculus - College Algebra 28)

Lecture 29: Multiplicity and End Behavior of Polynomials (Precalculus - College Algebra 29)

Lecture 30: Creating Polynomials from Real Zeros (Precalculus - College Algebra 30)

Lecture 31: How to Sketch Polynomial Functions (Precalculus - College Algebra 31)

Lecture 32: Synthetic Division and Long Division of Polynomials (Precalculus - College Algebra 32)

Lecture 33: Descartes Rule of Signs (Precalculus - College Algebra 33)

Lecture 34: How to Use the Rational Zeros Theorem (Precalculus - College Algebra 34)

Lecture 35: Introduction to Complex Solutions of Polynomials (Precalculus - College algebra 35)

Lecture 36: Creating Polynomials from Complex Solutions (Precalculus - College Algebra 36)

Lecture 37: Finding ALL Solutions of Polynomials (Precalculus - College Algebra 37)

Lecture 38: Finding Vertical Asymptotes of Rational Functions (Precalculus - College Algebra 38)

Lecture 39: Graphing Rational Functions with Transformations (Precalculus - College Algebra 39)

Lecture 40: Finding a Horizontal Asymptote of a Rational Function (Precalculus - College Algebra 40)

Lecture 41: Finding an Oblique Asymptote of a Rational Function (Precalculus - College Algebra 41)

Lecture 42: Finding End Behavior of Rational Functions (Precalculus - College Algebra 42)

Lecture 43: Finding Asymptotes and Holes of Rational Functions (Precalculus - College Algebra 43)

Lecture 44: Graphing Rational Functions (Precalculus - College Algebra 44)

Lecture 45: Inequalities with Functions - Graphically (Precalculus - College Algebra 45)

Lecture 46: Inequalities with Polynomial Functions (Precalculus - College Algebra 46)

Lecture 47: Inequalities with Rational Functions (Precalculus - College Algebra 47)

Lecture 48: Composition of Functions (Precalculus - College Algebra 48)

Lecture 49: Finding Domain of Composite Functions (Precalculus - College Algebra 49)

Lecture 50: One to One Functions (Precalculus - College Algebra 50)

Lecture 51: Finding Inverse Functions (Precalculus - College Algebra 51)

Lecture 52: Graphs of Exponential Functions (Precalculus - College Algebra 52)

Lecture 53: Graphing Exponential Functions with Transformations (Precalculus -College Algebra 53)

Lecture 54: Solving Exponential Equations with Common Bases (Precalculus - College Algebra 54)

Lecture 55: Introduction to Logarithms and Their Graphs (Precalculus - College Algebra 55)

Lecture 56: Graphing Logarithms with Transformations (Precalculus - College Algebra 56)

Lecture 57: Introduction to Solving Logarithms and Exponentials (Precalculus - College Algebra 57)

Lecture 58: Properties of Logarithms (Precalculus - College Algebra 58)

Lecture 59: How to Expand Logarithms (Precalculus - College Algebra 59)

Lecture 60: How to Combine Logarithms (Precalculus - College Algebra 60)

Lecture 61: How to Change the Base of a Logarithm (Precalculus - College Algebra 61)

Lecture 62: Solving Logarithms with Common Bases (Precalculus - College Algebra 62)

Lecture 63: Solving Logarithmic Equations with Exponentials (Precalculus - College Algebra 63)

Lecture 64: Solving Exponential Equations with Logarithms (Precalculus - College Algebra 64)

Lecture 65: Review of Compound Interest (Precalculus - College Algebra 65)

Lecture 66: Exponential Growth and Decay (Precalculus - College Algebra 66)

Lecture 67: Introduction to Sequences (Precalculus - College Algebra 67)

Lecture 68: Introduction to Series and Summation Notation (Precalculus - College Algebra 68)

Lecture 69: Arithmetic Sequences (Precalculus - College Algebra 69)

Lecture 70: Arithmetic Series (Precalculus - College Algebra 70)

Lecture 71: Geometric Sequences (Precalculus - College Algebra 71)

Lecture 72: Geometric Series (Precalculus - College Algebra 72)

Lecture 73: Proof by Mathematical Induction (Precalculus - College Algebra 73)

Lecture 74: Introduction to Angles (Precalculus - Trigonometry 1)

Lecture 75: Converting Degrees, Minutes, and Seconds (Precalculus - Trigonometry 2)

Lecture 76: Introduction to Radians (Precalculus - Trigonometry 3)

Lecture 77: Converting Radians and Degrees (Precalculus - Trigonometry 4)

Lecture 78: Area of a Sector, Angular Velocity, Applications (Precalculus - Trigonometry 5)

Lecture 79: Trigonometric Functions and the Unit Circle (Precalculus - Trigonometry 6)

Lecture 80: How to Use the Unit Circle in Trigonometry (Precalculus - Trigonometry 7)

Lecture 81: Basic Properties of Trigonometric Functions (Precalculus - Trigonometry 8)

Lecture 82: Reciprocal Identities in Trigonometry (Precalculus - Trigonometry 9)

Lecture 83: Pythagorean Identities for Trigonometric Functions (Precalculus - Trigonometry 10)

Lecture 84: The Graphs of Sine and Cosine (Precalculus - Trigonometry 11)

Lecture 85: Graphing Transformations with Sine and Cosine (Precalculus - Trigonometry 12)

Lecture 86: How to Graph Tangent and Cotangent (Precalculus - Trigonometry 13)

Lecture 87: Graphing Transformations with Tangent and Cotangent (Precalculus - Trigonometry 14)

Lecture 88: How to Graph Cosecant and Secant (Precalculus - Trigonometry 15)

Lecture 89: How to Graph Phase Shifts of Trigonometric Functions (Precalculus - Trigonometry 16)

Lecture 90: Introduction to Inverse Trigonometric Functions (Precalculus - Trigonometry 17)

Lecture 91: How to Use Inverse Trigonometric Functions (Precalculus - Trigonometry 18)

Lecture 92: How to Find Inverse Trigonometric Functions (Precalculus - Trigonometry 19)

Lecture 93: How to Solve Basic Inverse Trigonometric Functions (Precalculus - Trigonometry 20)

Lecture 94: An Indepth Look at Using Inverse Trig Functions (Precalculus - Trigonometry 21)

Lecture 95: How to Solve Trigonometric Equations (Precalculus - Trigonometry 22)

Lecture 96: Introduction to Using Trigonometric Identities (Precalculus - Trigonometry 23)

Lecture 97: How to Prove Trigonometric Identities (Precalculus - Trigonometry 24)

Lecture 98: Introduction to Sum and Difference Formulas in Trigonometry (Precalculus - Trigonometry 25)

Lecture 99: Using Sum and Difference Formulas in Trigonometry (Precalculus - Trigonometry 26)

Lecture 100: Proving the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 27)

Lecture 101: How to Use the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 28)

Lecture 102: How to Use Product to Sum and Sum to Product Formulas in Trig (Precalculus - Trigonometry 29)

Lecture 103: Introduction to Right Triangle Trigonometry (Precalculus - Trigonometry 30)

Lecture 104: Finding Sides and Angles with Right Triangle Trigonometry (Precalculus - Trigonometry 31)

Lecture 105: How to Use the Law of Sines in Trigonometry (Precalculus - Trigonometry 32)

Lecture 106: How to Use the Law of Cosines in Trigonometry (Precalculus - Trigonometry 33)

Lecture 107: How to Find the Area of a Triangle with Trigonometry (Precalculus - Trigonometry 34)

Lecture 108: Simple Harmonic Motion in Trig (Precalculus - Trigonometry 35)

Lecture 109: Introduction to Polar Coordinates (Precalculus - Trigonometry 36)

Lecture 110: How to Convert From Polar Coordinates to Rectangular Coordinates (Precalculus - Trigonometry 37)

Lecture 111: How to Convert From Rectangular Coordinates to Polar Coordinates (Precalculus - Trigonometry 38)

Lecture 112: How to Convert From Rectangular Equations to Polar Equations (Precalculus - Trigonometry 39)

Lecture 113: How to Convert From Polar Equations to Rectangular Equations (Precalculus - Trigonometry 40)

Lecture 114: How to Graph Basic Polar Equations (Precalculus - Trigonometry 41)

Lecture 115: How to Graph Advanced Polar Equations with Symmetry (Precalculus - Trigonometry 42)