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Precalculus - College Algebra/Trigonometry

Professor Leonard via YouTube

Syllabus

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).
How to Use the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 28).
How to Use Product to Sum and Sum to Product Formulas in Trig (Precalculus - Trigonometry 29).
Introduction to Right Triangle Trigonometry (Precalculus - Trigonometry 30).
Finding Sides and Angles with Right Triangle Trigonometry (Precalculus - Trigonometry 31).
How to Use the Law of Sines in Trigonometry (Precalculus - Trigonometry 32).
How to Use the Law of Cosines in Trigonometry (Precalculus - Trigonometry 33).
How to Find the Area of a Triangle with Trigonometry (Precalculus - Trigonometry 34).
Simple Harmonic Motion in Trig (Precalculus - Trigonometry 35).
Introduction to Polar Coordinates (Precalculus - Trigonometry 36).
How to Convert From Polar Coordinates to Rectangular Coordinates (Precalculus - Trigonometry 37).
How to Convert From Rectangular Coordinates to Polar Coordinates (Precalculus - Trigonometry 38).
How to Convert From Rectangular Equations to Polar Equations (Precalculus - Trigonometry 39).
How to Convert From Polar Equations to Rectangular Equations (Precalculus - Trigonometry 40).
How to Graph Basic Polar Equations (Precalculus - Trigonometry 41).
How to Graph Advanced Polar Equations with Symmetry (Precalculus - Trigonometry 42).

Taught by

Professor Leonard

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