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Simplify algebraic and trigonometric expressions with Precalculus teachers who understand your abilities and requirements. Our aim is to enable you to understand precalculus concepts and solve complicated precalculus problems.

Many advanced math concepts and theories are not covered in algebra, geometry and other courses in a student’s high school math curriculum. Precalculus commonly focuses on properties of functions along with the study of trigonometric, logarithmic and exponential functions. It includes topics about sequences, limits and other concepts crucial to the study of calculus.

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Connect to eTutorWorld and you will have a tutor to help you with Functions, Vectors, Matrices, Parameterizations, Conic Sections and of course the functioning of your Graphing Calculator. Our Learning by Design Methodology helps you understand precalculus concepts better, improve grades and prepare you for a bright and promising future.

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Below are the topics often included in the Precalculus syllabus:

Inequalities

  • Systems of Inequalities
  • Graph Absolute Value Inequalities

Absolute Value Equations

  • Transformations
  • Dilations
  • Reflections

Complex Numbers

  • Imaginary Numbers
  • Operations with Complex Numbers
  • Graphing Complex Numbers

Systems of Linear Equations

  • Solving Systems of Linear Equations

Quadratic Functions

  • Definition of Quadratic Equations
  • Greatest Common Factor
  • Multiplication Property Of Zero
  • Solving Quadratics not in the Standard Form
  • Parabolas
  • Completing the Square
  • Factoring Quadratic Equations

Geometry for Precalculus

  • Area and Circumference of a Circle
  • Midpoint and Distance Formula
  • The Pythagorean Theorem

Functions

  • Domain and Range of a Function
  • Power of a Function
  • Radical Functions
  • Operations with Functions
  • Graphing Functions
  • One-On-One Functions
  • Polynomial Functions

Symmetry

  • Graphic Symmetry
  • Algebraic Symmetry
  • Numerical Symmetry

Polynomials

  • Binomial Theorem
  • Factoring Polynomials in Quadratic Form
  • Dividing Polynomials
  • Long and Synthetic Division
  • Remainder and Factor Theorem

Rational Expressions

  • Operations of Rational Expressions
  • Solve Rational Equations

Exponential and Logarithmic Functions

  • Exponential growth and decay
  • Natural base
  • Logarithmic properties
  • Inverse of logarithmic functions

Trigonometry Functions & Graphs

  • Sine and cosine Functions
  • Unit Circles
  • Special Right Triangles
  • Graphing sine and cosine transformations
  • Determining trigonometric identities using graphs

Trigonometry Equations

  • Inverse Trigonometric Functions
  • Sinusoidal Functions

Trigonometry Identities & Applications

  • Basic Trigonometric Identities
  • Pythagorean Identities
  • Double-Angle Identities
  • Law of Cosines
  • Law of Sines
  • Formulas for sine, cosine and tangent

Vectors, Matrices and Determinants

  • Operations on Vectors
  • Operations on Matrices
  • Inverse of a matrix
  • Determinants
  • Gaussian elimination
  • Linear Programming

Mathematical Sequences and Series

  • The sigma and factorial notation.
  • Arithmetic sequences
  • Geometric sequences
  • Mathematical Induction
  • Binomial Theorem
  • Pascal’s Triangle

Polar Coordinates and Parameterization and Conic Sections

  • Conversion between polar and rectangular coordinates.
  • Graph of functions in polar coordinates.
  • De Moivre’s Theorem
  • Parametric and Rectangular forms of equations.
  • Locus
  • Graphs of parabolas, ellipses and hyperbolas

Limits & Continuity

Practice is essential in precalculus and will lead to successful performance on exams. Tests and quizzes are given every precalculus topic studied.

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