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1. Statistical Methods
on 30.03.18
1.
Permutation & combination
2.
Probability
2. Calculus
on 20.03.18
1.
Trigonometry
2.
Derivative
3.
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Secondary school, High school and College
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Problem Source
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What's new (Calculators)
1. Statistical Methods
on 30.03.18
1. Permutation & combination
1.
Find `n!`
2.
Find `(n!)/(m!)`
3.
Find `{::}^nP_r`
4.
Find `{::}^nC_r`
5.
How many words can be formed from the letters of the word daughter?
6.
How many ways a committee of players can be formed ?
7.
Permutation, Combination List
2. Probability
1.
Coin
2.
Dice
3.
Cards
4.
Balls
2. Calculus
1.
Trigonometry
on 20.03.18
1.
Simplifying trigonometric equations, proving identities
, eg. (1) `sin(30)*cos(60)+sin(30)*cos(60)`, (2) `tan(x)+cot(x)`, (3) `tan^2(x)-sin^2(x)`, (4) `csc(x)/cos(x)-cos(x)/sin(x)`
2.1
If `sin(x)=5/13` then Find the value of all the other five trigonometric functions
2.2
If `sin(x)=3/5` then solve expression `cos(x)csc(x)+tan(x)sec(x)`
2.
Derivative
on 20.03.18
1.
Find Derivative
, eg. (1) `d/(dx)(2x^(3)-2x^(2)-5x+4)`, (2) `d/(dx)(log(x)e^(x))`, (3) `d/(dx)(3cos(sin(x)))`
2.
Find maximum and minimum value of `y=x^3+6x^2-15x+7`
3.
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4. Algebra
1.
Functions
2.
Set Theory (using builder form)
3.
Interval notation and set builder notation
5. Word Problems
1.
Problem on Ages
2.
Unitary Method
6. Simplex method
1.
Branch and Bound method
2.
0-1 Integer programming problem
7. Game Theory
1.
Bimatrix method
8. Matrix operations
1.
Cholesky Decomposition
2.
QR Decomposition (GramSchmidt Method)
3.
QR Decomposition (HouseHolder Method)
9. Solve numerical differential equation using
1.
Adams bashforth predictor method
2.
Milne's simpson predictor corrector method
10.
Coordinate Geometry
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