Free mathematics tutorials to help you explore and gain deep understanding of math topics. The site includes several java applets to investigate Graphs of Functions, Equations, and Algebra. Topics explored are: equations of line, ellipse, circle, parabola, hyperbola, polynomials; graphs of quadratic, rational, hyperbolic, exponential and logarithmic functions; one-to-one and inverse functions and inverse trigonometric functions; systems of linear equations; determinants and Cramer's rule; inverse matrix and matrix multiplication; vectors, complex numbers, polar equations; absolute value function; slope of a line; angle in trigonometry, unit circle, solutions to trigonometric equations; graph shifting, stretching, compression and reflection. Applets used as Online Math Calculators and Solvers and Online Geometry Calculators and Solvers are also included.

Calculus Tutorials and Problems and Questions with answers on topics such as limits, derivatives, integrals, natural logarithm, runge kutta method in differential equations, the mean value theorem and the use of differentiation and integration rules are also included. Free Calculus Worksheets to Download are included in this website.

Trigonometry Tutorials and Problems for Self Tests on sine, cosine, tangent, secant functions, trigonometric identities and formulas are also included. Free trigonometry worksheets to download are in this site. Interactive Geometry Tutorials and Problems on topics such as reflection across a line, sine and cosine laws, central and inscribed angles, perpendicular bisector, medians and circumcircle of a triangle are also included. Free Geometry Worksheest to Download are also included. Each math topic is explored interactively and graphically through tutorials .

Math problems for self tests and free math worksheets to download, analytical tutorials with examples and detailed solutions on: algebra; solving equation and inequalities; domain and range; composition of functions; solving exponential, logarithmic and trigonometric equations; graphs of trigonometric and exponential functions; equations of line, parabola, circle, hyperbola and graphing of linear, quadratic, rational, sine, logarithmic, exponential and absolute value functions are included.

Elementary statistics and probability tutorials are also included.

All applets used to explore topics in mathematics in this site are grouped as online math software.

Table Of Contents

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1- Interactive Exploring and Tutorials in Precalculus

Java applets are used to explore interactively important topics in precalculus. These tutorials can be used either as complements to topics already studied or to learn a new topic through exploration.

Equations in Two Variables

Slope of a Line

General Equation of a Line: ax + by = c

Slope Intercept Form Of The Equation Of a Line: y = mx + b

Find Equation of a Line - applet

Construct a Parabola

Equation of Parabola

Find Equation of Parabola - applet

Equation of Hyperbola

Equation of a Circle

Find Equation of Circle - applet

Equation of an Ellipse

Functions and Graphs

Graph, Domain and Range of Common Functions

Quadratic Functions (general form)

Quadratic Functions in Standard Form

Horizontal Shift of Graphs

Vertical Shifting or translation of Graphs

Horizontal Stretching and Compression of Graphs

Vertical Stretching and Compression(scaling) of Graphs

Definition of the Absolute Value

Absolute Value Function

Reflection of Graphs In x-axis

Reflection of Graphs In y-axis

Inverse of a Function and One to One Functions

Inverse Function Definition

One-To-One function

Inverse Function

Explore Other Functions

Explore graphs of functions

Exponential and Logarithmic Functions

Exponential Functions

Logarithmic Functions

Hyperbolic Functions

Graphs of Hyperbolic Functions

Trigonometry

Graphs of Basic Trigonometric Functions.

Trigonometric Equations and the Unit Circle.

Angle in Trigonometry

Unit Circle And The Trigonometric Functions sin(x), cos(x) and tan(x)

Inverse Trigonometric Functions

Sine Function

Cosine Function

Tangent Function

Secant Function

Applications Of Trigonometry

Sine Law - Ambiguous Case - applet

Systems Of Equations

Systems of Linear Equations - Graphical Approach

Polar Coordinates And Equations

Polar Coordinates and Equations

Polynomials

Multiplicity of Zeros and Graphs Polynomials

Polynomial Functions

Rational Functions

Rational Functions

Matrix Multiplication

Matrix Multiplication

Geometry

Medians of Triangle - Interactive applet

Perpendicular Bisector- Interactive applet

Central and Inscribed Angles - Interactive applet

Reflection Across a Line

Triangles, Bisectors and Circumcircles - interactive applet

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2- Online Algebra and Trigonometry Tutorials

Tutorials using step by step approach with examples and matched exercises are presented here. Detailed solutions to the examples are also included. Several tutorials have been designed so that they can be used with the applet tutorials in this site.

Graphs of Rational Functions - Tutorials

Identify Graphs of Functions - Tutorials

Domain and Range of Functions

Ellipse Problems

Hyperbola Problems

Solve Linear Inequalities

Solve Polynomial Inequalities

Solve Inequalities With Absolute Value - Tutorials

Solve Rational Inequalities

Solve Equations of the Quadratic Form

Solve Equations with Absolute Value

Slope of a line

Tutorial on Equation of Line

Find inverse function

Tutorial on equation of circle

Tutorial on equation of circle (2)

Solve Systems of Linear Equations

Solve Equations Graphically

Algebra Tutorial

Tutorial on Inequalities

Composition of Functions

Equations with Rational Expressions - Tutorials

Solve Exponential and Logarithmic Equations

Solve Trigonometric Equations

4 - Online Problems and self tests with Answers

Several precalculus problems are included in these pages. The applets are easy to use and answers are provided once the test is finished.

Equations And Inequalities with Absolute Value - Problems

Polynomial and Rational Inequalities - Questions and Answers

Solve Trigonometric Equations

Domain of a Function

Composition of Functions

Solve Exponential and Logarithmic Equations

Graphs of Functions - Questions

Graphs of Polynomial Functions - Questions

Graphs of Rational Functions - Questions

Graphs of Logarithmic and Exponential Functions - Questions

Find Inverse Functions - Questions

Graphs of Trigonometric Functions - Questions

Solve Quadratic Equations With Rational Expressions - Problems

Algebra Problems

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