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Learn about Linear, Non-Linear Equations, Factorization and more:

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.

As a regular student, you’ll be able to schedule tutoring sessions with your precalculus tutor at a time convenient to you.

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:


  • 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


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


  • Graphic Symmetry
  • Algebraic Symmetry
  • Numerical Symmetry


  • 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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Pre Calculus Tutors


Pre Calculus Tutor
Master Degree in Math

10,000+ hrs of Tutoring

I spend my free time solving cross word puzzles Sudoku etc. I am passionate about solving mathematical problems. I also love listening to good film music, classical music concerts, travelling with friends and relatives widely. Helping others is my primary interest and have always felt that we should live for others than for ourselves.


Pre Calculus Tutor

1,000+ hrs of Tutoring

I’m passionate about giving my students the best possible education. The philosophy of my life is in sync with the Einstein’s educational philosophy “If you can’t explain it simply, you don’t understand it well enough”. My hobbies are to solve puzzles, reading books and painting. I enjoy meeting new people and that is what connects me to my new students.


Pre Calculus Tutor
BE (Elect & Telecom)

2,500+ hrs of Tutoring

I love teaching and helping students achieve their goals, watch their insecurities dissolve while their confidences grow more and more. I always try to have students understand concepts well and guide them to solve problems independently.


Pre Calculus Tutor
MTech / Certified Teacher

5,000+ hrs of Tutoring

I am a positive person with an enthusiastic outlook on life. I love my job and get a great sense of achievement on seeing my students develop and grow as individuals. If I can have a positive impact on their future, I feel I am doing my job well. Being a technical post graduate, it is easy for me to relate mathematical concepts with their real time importance.