 # PreCalculus

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Explore our rich collection of videos, games, activities and worksheets that are suitable for the study, practice or review of PreCalculus.

The topics covered are: Lines and Planes, Functions and Transformation of Graphs, Polynomials, Rational Functions, Limits of a Function, Complex Numbers, Exponential Functions, Logarithmic Functions, Conic Sections, Matrices, Sequences and Series, Probability and Combinatorics, Advanced Trigonometry, Vectors and Parametric Equations, and Polar Coordinates.

Related Topics:
PreCalculus Worksheets
Math Worksheets
Algebra II lessons

### Functions and Transformation of Graphs Videos

 Difference Quotient of Function I Difference Quotient of Function II Domain of a Function Greatest Integer Function I Greatest Integer Function II Piece-Wise Functions I Piece-Wise Functions II Piece-Wise Functions III Even and Odd Functions I Even and Odd Functions II Parent Functions and their Graphs Transformation of Linear Functions Transformation of Quadratic Functions Horizontal and Vertical Graph Transformations Horizontal And Vertical Graph Stretches and Compressions Reflective Transformations Examples of Graph Transformations Composite Functions I Composite Functions II Composite Functions III One-to-one Functions Inverse of a Function I Inverse of a Function II Finding the Inverse of a Function or Showing One Does not Exist

### Polynomials Videos

 Power Functions Polynomial Functions Graphing Polynomial Functions I Graphing Polynomial Functions II Families of Polynomials Graphing Polynomials with Repeated Factors Finding the Equation of a Polynomial Function Finding Maximum and Minimum Values of Polynomial Functions Finding the Zeros of a Polynomial Function I Finding the Zeros of a Polynomial Function II Conjugate Zeros Theorem Reciprocal of a Function

### Rational Functions Videos

 Introduction to Rational Functions Limits of Rational Functions Graphing Rational Functions I Graphing Rational Functions II Horizontal Asymptotes I Horizontal Asymptotes II Vertical Asymptotes Vertical and Horizontal Asymptotes Oblique or Slant Asymptotes Find all Asymptotes of a Rational Function Graphing Rational Functions with Holes Rational Function Problems

### Limits of a Function

 Introduction to Limits of Functions Limits of Rational Functions Examples to Learn about Limits Calculating Limits using Different Techniques I Calculating Limits using Different Techniques II Limit Laws to Evaluate a Limit One Sided Limits Squeeze Theorem for Limits The Limit definition of Continuity

### Complex Numbers Videos

 Introduction to Complex Numbers I Introduction to Complex Numbers II Adding and Subtracting Complex Numbers Multiplying Complex Numbers Dividing Complex Numbers Trigonometric or Polar Form of Complex Numbers Converting Complex Numbers between Trigonometric Form and Rectangular Multiplying and Dividing Complex Numbers in Trigonometric or Polar Form DeMoivre's Theorem and Euler Formula Roots of a Complex Number Complex Quadratic Equations I Complex Quadratic Equations II Simplify Complex Rational Expressions
Exponential form to find complex roots
Complex Conjugates
Complex Determinant Example

### Exponential Function Videos

 Introduction to Exponential Functions Graphing Exponential Functions I Graphing Exponential Functions II Applying Exponential Functions I Applying Exponential Functions II Solving Exponential Equations with the Same Base Solving Exponential Equations with Different Bases I Solving Exponential Equations with Different Bases II Solving Exponential Equations with Different Bases III

### Logarithmic Function Videos

 Introduction to Logarithmic Functions Exponential and Logarithmic Functions Logarithm Review Product Rule Logarithm Review Product & Quotient Rules Logarithm Review Power Rule Logarithm Review Change of Base Rule Properties of Logarithms (or Rules of Logarithms) Proof of Logarithm Properties Expanding Logarithmic Expressions Simplifying (or Condensing) Logarithmic Expressions Simplifying and Expanding Logarithmic Expressions Solving Logarithmic Equations I Solving Logarithmic Equations II Graphs of Logarithmic Functions

### Conic Sections Videos

 Introduction to Conic Sections Conic Sections - Circles I Conic Sections - Circles II Conic Sections - Ellipses I Conic Sections - Ellipses II Conic Sections - Parabolas Conic Sections - Hyperbolas I Conic Sections - Hyperbolas II Conic Sections - Hyperbolas III Conic Sections Summary Identify and Graph Conic Sections

### Matrices Videos

 Introduction to Matrices Matrix Addition and Subtraction I Matrix Addition and Subtraction II Matrix Scalar Multiplication Matrix Multiplication I Matrix Multiplication II Matrix Multiplication III Identity Matrix Determinant of a 2x2 Matrix Determinant of a 3x3 Matrix I Determinant of a 3x3 Matrix II Simplifying Determinant Inverse of 2x2 Matrix Inverse of 3x3 Matrix Singular Matrix - A Matrix with no Inverse Solving a 2x2 System of Equations Using a Matrix Inverse I Solving a 2x2 System of Equations Using a Matrix Inverse II Solving a 3x3 System of Equations Using a Matrix Inverse Using Gauss-Jordan to Solve a System of Three Linear Equations Row Reducing a Matrix to solve a System of Equations Solving a System of Equations using Matrix Row Transformations Cramer's Rule Using Determinant to find the Area of a Parallelogram Using Determinant to find the Area of a Triangle and a Polygon Cross Product of Vectors and Determinants(area of triangle and parallelogram)

### Sequences and Series Videos

 Introduction to Sequences Arithmetic Sequences I Arithmetic Sequences II Arithmetic Sequences Finding the nth Term Geometric Sequences I Geometric Sequences II Geometric Sequences Finding the nth Term Recursion Sequences Series and Summation Arithmetic Series I Arithmetic Series II Geometric Series I Geometric Series II Infinite Geometric Series Mathematical Induction Examples of Mathematical Induction I Examples of Mathematical Induction II

### Probability and Combinatorics Videos

 Introduction to Probability I Introduction to Probability II Fundamental Counting Principles Permutations I Permutations II Permutations III Combinations I Combinations II Permutations and Combinations Probability using Permutations and Combinations Probability of Multiple Events Probability of Independent Events Probability of Dependent Events Probability of Complementary Events Conditional Probability I Conditional Probability II Conditional Probability III Pascal's Triangle and the Binomial Theorem Binomial Theorem I Binomial Theorem II

 Inverse Trigonometric Functions I Inverse Trigonometric Functions II Factoring Trigonometric Equations Trig Identities cofunctions, reciprocal, quotient, ratio, Pythagorean, and even/odd Sum and Difference Identities I Sum and Difference Identities II Sine and Cosine Addition Formulas (Proofs) Double Angle Identities I Double Angle Identities II Power Reducing Identities Half Angle Identities Half Angle and Double Angle Examples

### Vectors and Parametric Equations Videos

 Geometric Representation of Vectors Algebraic Representation of Vectors Components of a Vector Adding Vectors Graphically or Head-to-Tail Method Adding Vectors using Components I Adding Vectors using Components II Vector Addition and Scalar Multiplication Vector Magnitude and Direction The Resultant of Two Forces Components of a Force Solve Navigation Problems using Vectors Unit Vectors I Unit Vectors II Vector Equation of a Line Parametric Equations and Motion Parameterize a Line Segment and a Circle Parametric Equations Dot Product of Vectors Angle between Two Vectors Vectors in Three Dimensions Lines in 3D Coordinate Systems Vectors and Planes I Vectors and Planes II

### Polar Coordinates Videos

 Introduction to Polar Coordinates Conversion between Polar Coordinates & Rectangular Coordinates Polar Coordinates Distance Formula Equations of Lines in Polar Coordinates Convert between Polar Equations and Rectangular Equations Symmetry of Polar Graphs Graphing Polar Equations Families of Polar Curves: Circles, Cardiods, Lima?on, Roses & Conic Sections

### IIT JEE Questions

Questions from previous IIT JEE 2010 PreCalculus Calculator with step by step solutions
Relations, Functions,
Operations on Functions,
Points, Lines, and Line Segments,
Absolute Value Expressions and Equations,
Rational Expressions and Equations,
Polynomial and Rational Functions,
Factoring Polynomials, Conic Sections,
Exponential and Logarithmic Functions,
Trigonometry, Analytic Trigonometry,
Inequalities, Linear Equations,
Matrices, Sequences and Series,
Analytic Geometry in Rectangular Coordinates,
Analytic Geometry in Polar Coordinates,
Limits and an Introduction to Calculus,
Vectors, Number Sets

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