Tuesday, September 23, 2008

Free Mathematics Tutorials, Problems and Worksheets

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


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

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

Multiplicity of Zeros and Graphs Polynomials
Polynomial Functions

Rational Functions
Rational Functions

Matrix Multiplication
Matrix Multiplication

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


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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