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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:

Linear Equations

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

Intermediate Value Theorem
Graphs to Define Limits
Determine Limits of Functions
Limits for Asymptotes and Infinity

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

Abirami

Post Graduate in Math and in Computer Applications

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10,000+ hrs of Tutoring

Abi has over 25 years of teaching experience of which for 10 years, she’s been teaching online. ‘Teaching math is my passion. Algebra is my favorite, also interested in cooking and travelling.’

Priyanka

Pre Calculus Tutor
BE (IT)

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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.

Kamal

Engineering Graduate in Mechanics

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1,000+ hrs of Tutoring

A Mechanical Engineer by qualification, and a tutor by profession and passion. Have been helping students online, from all over the globe for 15+ years, in Math and Physics. Like to teach every student in a unique, best suited way. The subject could be any, from Algebra 1 to Multivariable Calculus to Advanced Probability in Mathematics and Classical Mechanics and Electromagnetism in Physics.

Bibin

Pre Calculus Tutor
MTech / Certified Teacher

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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.