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Brainteasers

 

 

 

 

 

 

 
General Mathematics  
Interactive Exercises
 
Trigonometry
   How to generate sine, cosine and tangent curves; interactive exercises
  Interactive exercises on trigonometric equations
Polynomials
  

Interactive exercises on remainder theorem and factor theorem
  Powerpoint files:
  Synthetic Division - finding the quotient and remainder without using long division
 

A surprising application of polynomials in daily life
  Proof by dissection- a visual proof of (a+b)^2
AP and GP
   A brainteaser about the sum of AP and GP Part I, II, III
Linear Programming
   Important points to note
Probability
   Birthday problem, Monty Hall problem and one involving infinite series
Statistics
   Interactive Histogram; Normal distribution; Interactive standard score
   
 
Thinkquest
   excellent thinkquest library created by pre-collegiate students
 

algebra geometry trigonometry

     
Additional Mathematics  

Problem solving
   An introduction to problem solving
Calculus
    
Derivatives
   4 excellent interactive exercises and computer program to plot y=f'(x) and y=f"(x)
Solid of revolution
   Animation and 3-dimensional graphics of surfaces of revoltuion
   
  MathServ Calculus Toolkit by Vanderbilt University, USA
  Thinkquest library algebra geometry trigonometry calculus
Complex numbers
   A treasure hunt
 
 
 
 

 
Pure Mathematics  
Logic
  An interactive exercise
Problem solving
   Introduction to problem solving strategy and presentation techniques
 

Functions with special properties
  Calculus Toolkit MathServe Project by Vanderbilt University, USA
 

Curve Sketching by Vanderbilt University, USA

  Function Plotter by Maths Online, University of Vienna
  Famous Curves by University of St. Andrews, Scotland
e
 

Application of e Compound interest; Franklin Benjamin's will
System of Linear Equations
   An example
Matrices
   Powerpoint files
  about matrix multiplication, cofactor and inverse
  examples on linear transformations
     
Complex numbers
   A treasure hunt