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# New Precalculus Video Playlist

### Syllabus

Functions - Vertical Line Test, Ordered Pairs, Tables, Domain and Range.
Organic Chemistry Tutor - Youtube Channel Membership.
What Is a Function?.
Evaluating Functions - Basic Introduction.
Evaluating Piecewise Functions.
Graphing Piecewise Functions.
Increasing and Decreasing Functions.
Identifying The Relative Maximum and Minimum Values of a Function.
Domain and Range of a Function From a Graph.
How To Find The Domain of a Function - Radicals, Fractions & Square Roots - Interval Notation.
How To Find The Range of a Function.
Difference Quotient.
Function Operations.
Composite Functions.
How To Evaluate Composite Functions Using Function Tables.
Decomposing Functions - Composition of Functions.
Even, Odd, or Neither Functions The Easy Way! - Graphs & Algebraically, Properties & Symmetry.
Linear Functions.
Average Rate of Change of a Function Over an Interval.
Introduction to Inverse Functions.
How To Find The Inverse of a Function.
Verifying Inverse Functions.
Horizontal Line Test and One to One Functions.
Vertical Line Test.
Graphing Inverse Functions.
Transformations of Functions.
Transformations of Functions - Membership.
Functions and Graphs.
Functions and Graphs - Membership.
The Weird Graph of y = x^x.
Distance Formula.
Distance Between a Point and a Line In 2D & 3D - Geometry.
Midpoint Formula.
Imaginary Numbers - Basic Introduction.
Graphing Complex Numbers.
Absolute Value of Complex Numbers.
Multiplying Complex Numbers.
Dividing Complex Numbers.
Simplifying Complex Numbers.
Solving Equations With Complex Numbers.
Complex Numbers - Practice Problems.
Complex Numbers - Basic Operations.
How To Find The Vertex of a Parabola - Standard Form, Factored & Vertex Form.
Graphing Quadratic Functions Using a Data Table.
Graphing Quadratic Functions In Vertex Form.
Graphing Quadratic Functions In Standard Form Using X & Y Intercepts.
Maximum and Minimum Value Word Problems - Quadratic Equations.
Graphing Quadratic Functions in Vertex & Standard Form - Axis of Symmetry - Word Problems.
Writing Quadratic Equations In Vertex Form & Standard Form Given 3 Points.
Writing Quadratic Equations In Standard Form Given The Solution.
Quadratic Equations Multiple Choice Practice Problems.
How To Graph Polynomial Functions Using End Behavior, Multiplicity & Zeros.
How To Graph Polynomial Functions - Membership.
Intermediate Value Theorem Explained - To Find Zeros, Roots or C value - Calculus.
Polynomials - Long Division.
Long Division With Polynomials - The Easy Way!.
How To Use Synthetic Division on Any Polynomial!.
Synthetic Division of Polynomials.
Remainder Theorem and Synthetic Division of Polynomials.
Factoring Trinomials - Quick & Simple.
Factor Theorem and Synthetic Division of Polynomial Functions.
Finding All Zeros of a Polynomial Function Using The Rational Zero Theorem.
How To Find The Real & Imaginary Solutions of Polynomial Equations.
Solving Polynomial Equations By Factoring and Using Synthetic Division.
Solving Polynomial Equations Using Goal Seek In Excel.
Writing Polynomial Functions With Given Zeros.
Descartes Rule of Signs.
Solving Polynomial Inequalities.
How To Find The Vertical Asymptote of a Function.
Horizontal Asymptotes and Slant Asymptotes of Rational Functions.
Graphing Rational Functions Using Transformations With Vertical and Horizontal Asymptotes.
Graphing Advanced Rational Functions With Asymptotes and Holes Using Transformations.
Rational Inequalities.
Direct Inverse and Joint Variation Word Problems.
Logarithms - The Easy Way!.
Writing Logarithmic Equations In Exponential Form.
Change of Base Formula - Logarithms.
Logarithms.
Properties of Logarithms.
Expanding Logarithmic Expressions.
Condensing Logarithmic Expressions.
Natural Logarithms.
Solving Exponential Equations.
Solving Exponential Equations In Quadratic Form - Using Logarithms, With e.
Solving Exponential Equations Using Logarithms & The Quadratic Formula.
Solving Logarithmic Equations.
Logarithmic Equations.
Solving Logarithmic Equations With Different Bases - Algebra 2 & Precalculus.
Exponential Logarithmic Equations.
Graphing Logarithmic Functions.
How To Graph Exponential Functions.
Graphing Natural logarithmic functions and Exponential Functions.
Compound Interest.
Interest Compounded Continuously.
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra.
Compound Interest & Population Growth Word Problems - Logarithms.
Logarithms - Practice Problems.
Logarithms - e - Euler's Number.
Exponential Growth and Decay Word Problems & Functions - Algebra & Precalculus.
Exponential Equations.
Logistic Growth Function and Differential Equations.
Solving Complex Logarithmic Equations.
Newton's Law of Cooling Calculus, Example Problems, Differential Equations.
Exponential Equations With Powers of X.
Math Problems - Exponential Equations With Radicals.
Trigonometry.
Introduction to Angles.
Trigonometry - What Exactly Is a Radian?.
Coterminal Angles In Radians & Degrees - Basic Introduction, Trigonometry.
Decimal Degrees to DMS Formula - Converting Degrees Minutes and Seconds to Decimal - Trigonometry.
Arc Length of a Circle Formula - Sector Area, Examples, Radians, In Terms of Pi, Trigonometry.
Linear Speed and Angular Velocity.
Clock Aptitude Reasoning Tricks & Problems - Finding Angle Between The Hands of a Clock Given Time.
The Unit Circle, Basic Introduction, Trigonometry.
How To Find The Reference Angle In Radians and Degrees - Trigonometry.
How To Remember The Unit Circle Fast!.
The Six Trigonometric Functions, Basic Introduction, Trigonometry.
Trigonometry - How To Solve Right Triangles.
Reciprocal Identities - Evaluating Secant and Cosecant Functions.
Quotient Identities - Evaluating Tangent and Cotangent Functions.
Even and Odd Trigonometric Functions & Identities - Evaluating Sine, Cosine, & Tangent.
Pythagorean Identities - Examples & Practice Problems, Trigonometry.
Pythagorean Theorem - Basic Introduction.
How To Evaluate Trigonometric Functions Using Periodic Properties - Trigonometry.
How To Find The Exact Values of Trig Functions.
Trigonometry For Beginners!.
30-60-90 Triangles - Special Right Triangle Trigonometry.
30-60-90 Special Right Triangles For ACT & SAT Math - Geometry & Trigonometry.
45-45-90 Triangles, Special Right Triangle Trigonometry.
45-45-90 Triangles For SAT & ACT Math - Trigonometry & Geometry.
Special Patterns of the Pythagorean Theorem For Right Triangles.
Cofunction Identities Examples & Practice Problems Trigonometry.
Angle of Elevation and Depression Word Problems Trigonometry, Finding Sides, Angles, Right Triangles.
Evaluating Trigonometric Functions Given a Point on the Terminal Side - Trigonometry.
A Simple Trick To Remember Trigonometry Values.
How To Find The Exact Value of the Five Remaining Trigonometric Functions.
How To Use Reference Angles to Evaluate Trigonometric Functions.
How To Graph Trigonometric Functions Sine and Cosine - Membership.
Evaluating Inverse Trigonometric Functions.
Evaluating Inverse Trigonometric Functions - Membership.
How To Calculate The Missing Side Length of a Triangle.
How To Calculate The Missing Angle In a Triangle.
How To Solve Two Triangle Trigonometry Problems.
Bearings vs Direction - Trigonometry Word Problems.
Trigonometry - How To Solve Right Triangles.
Verifying Trigonometric Identities.
Verifying Trigonometric Identities - Membership.
Sum and Difference Identities of Sine and Cosine.
Double Angle Identities & Formulas of Sin, Cos & Tan - Trigonometry.
Verifying Trigonometric Identities With Double Angle Formulas.
Simplifying Trigonometric Expressions Using Power Reducing Formulas.
Half Angle Formulas & Identities - Evaluating Trigonometric Expressions.
Verifying Trigonometric Identities Using Half Angle Formulas.
Inverse Trig Functions With Double Angle Formulas and Half Angle Identities - Trigonometry.
Right Triangle Trigonometry and Half Angle Identities & Formulas.
Product To Sum Identities and Sum To Product Formulas - Trigonometry.
Solving Trigonometric Equations By Finding All Solutions.
How To Solve Trigonometric Equations With Multiple Angles - Trigonometry.
Solving Trigonometric Equations By Factoring & By Using Double Angle Identities.
Law of Sines - Basic Introduction.
Law of Sines, Basic Introduction, AAS & SSA - One Solution, Two Solutions vs No Solution, Trigonomet.
Area of an Oblique Triangle - SAS & SSS - Heron's Formula, Trigonometry.
How To Calculate The Height of a Triangle Using Heron's Formula.
Law of Cosines, Finding Angles & Sides, SSS & SAS Triangles - Trigonometry.
Polar Coordinates Basic Introduction, Conversion to Rectangular, How to Plot Points, Negative R Valu.
Polar Equations to Rectangular Equations, Precalculus, Examples and Practice Problems.
Rectangular Equation to Polar Equations, Precalculus, Examples and Practice Problems.
How To Graph Polar Equations.
Graphing Polar Equations - Membership.
How To Graph Functions Using an Online Calculator.
Complex Numbers In Polar - De Moivre's Theorem.
Complex Numbers In Polar Form - De Moivre's Theorem - Membership.
Trigonometry Final Exam Review - Membership.
How To Find The Unit Vector.
Vectors - Precalculus.
Vectors - Precalculus - Membership.
Dot Product of Two Vectors.
Dot Product of Two Vectors - Membership.
Cross Product of Two Vectors Explained!.
Solving Systems of Equations By Elimination & Substitution With 2 Variables.
Solving Systems of Equations With Fractions and Decimals.
One Solution, No Solution, or Infinitely Many Solutions - Consistent & Inconsistent Systems.
Mixture Problems.
Solving Systems of Equations By Graphing.
Solving Systems of Equations With 3 Variables & Word Problems.
Substitution Method For Solving Systems of Linear Equations, 2 and 3 Variables, Algebra 2.
Elimination Method For Solving Systems of Linear Equations Using Addition and Multiplication, Algebr.
Simultaneous Equations - Tons of Examples!.
How To Solve Systems of Nonlinear Equations.
Graphing Systems of Linear Inequalities.
Partial Fraction Decomposion.
Partial Fraction Decomposition - Membership.
Linear Programming.
Intro to Matrices.
Scalar Multiplication of Matrices and Matrix Operations.
Solving Matrix Equations.
Multiplying Matrices.
How To Multiply Matrices - Quick & Easy!.
Gaussian Elimination & Row Echelon Form.
Gauss Jordan Elimination & Reduced Row Echelon Form.
Gaussian Elimination With 4 Variables Using Elementary Row Operations With Matrices.
Inverse of a 2x2 Matrix.
Inverse of a 3x3 Matrix.
Determinant of 3x3 Matrices, 2x2 Matrix, Precalculus Video Tutorial.
How To Find The Determinant of a 3x3 Matrix.
How To Find The Determinant of a 4x4 Matrix.
Cramer's Rule - 2x2 Linear System.
Cramer's Rule - 3x3 Linear System.
Conic Sections - Basic Introduction.
How To Find The Center and Radius of a Circle.
Graphing Circles and Writing Equations of Circles In Standard Form - Conic Sections.
Writing Equations of Ellipses In Standard Form and Graphing Ellipses - Conic Sections.
Writing Equations of Ellipses In Standard Form and Graphing Ellipses - Conic Sections - Membership.
Hyperbolas - Conic Sections.
Hyperbolas - Conic Sections - Membership.
Finding The Focus and Directrix of a Parabola - Conic Sections.
Finding The Focus and Directrix of a Parabola - Conic Sections - Membership.
Conic Sections Quiz - Parabolas, Hyperbolas, Ellipses, & Circles.
Parametric Equations Introduction, Eliminating The Paremeter t, Graphing Plane Curves, Precalculus.
Factorials Explained!.
Double Factorials.
Math - What is Zero Factorial?.
Arithmetic Sequences and Arithmetic Series - Basic Introduction.
Arithmetic Sequences and Arithmetic Series - Membership.
Geometric Series and Geometric Sequences - Basic Introduction.
Geometric Series and Geometric Sequences - Basic Introduction - Membership.
Mathematics - Fibonacci Sequence and the Golden Ratio.
Number Series Reasoning Tricks - The Easy Way!.
Number Series Reasoning Tricks & Shortcuts - More Problems!.
Mathematical Induction Practice Problems.
Induction Divisibility.
Binomial Theorem Expansion, Pascal's Triangle, Finding Terms & Coefficients, Combinations, Algebra 2.
Permutations and Combinations Tutorial.
Probability Explained!.
Precalculus Final Exam Review.
Precalculus Final Exam Review Part 1 - Membership.
Precalculus Final Exam Review Part 2 - Membership.
ACT Math Test Prep.
Calculus 1 Review - Basic Introduction - Membership.
Math - Addition, Multiplication, Exponents, & Tetration.
Introduction to Statistics.
Simplifying a Super Complex Fraction!.
How To Calculate Your GPA In College.
Greek Alphabet Symbols List - College Math, Chemistry, & Physics.

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