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 All Calculators 1. Algebra Calculators 2. Matrix Algebra Calculators 3. Numerical Methods Calculators 4. Statistical Methods Calculators 5. Operation Research Calculators 6. Word Problems Calculators 7. Calculus Calculators 8. Geometry Calculators 9. Pre-Algebra Calculators 10. College Algebra Calculators 11. Games
 1. Algebra Calculators 1. Addition, subtraction, multiplication, division of two polynomials eg.(X^3-4X^2+4X-8) xx (X-2) 2. Factoring Polynomials eg. (1) 25x^2-36, (2) 4x^2+12xy+9y^2, (3) x^3-3x^2-6x+8, (4) a^2(b-c)+b^2(c-a)+c^2(a-b) 3. Expand and simplify polynomial eg. (1) (X+2)(X+3), (2) (2X+3Y)^2, (3) (2X+3Y+4Z)^2, (4) 102^2, (5) 102 xx 106 (Expand using the identity) 4. Complete square, Is perfect square, Find missing term 1. Completing the square for quadratic equation eg. 9x^2+6x+1= 9( x+1/3 )^2 2. Determining if the polynomial is a perfect square eg. (1) x^2-4xy+4y^2, (2) 3x^2+5x+2 3. Find the missing term in a perfect square trinomial eg. (1) 9x^2 - __ + 16, (2) __ + 12x^2 + 9, (3) 49x^2 + 56 xy + __ 5. HCF(GCD)-LCM of Polynomials eg. Find GCD, LCM of (2X^2-4X), (3X^4-12X^2), (2X^5-2X^4-4X^3) 6. Rational Expression of Polynomials 1. Reduced terms of rational expressions eg. (4X^2-25)/(8X^3-125) 2. Adding, subtracting, multiplying, dividing of rational expressions polynomials eg. (X-3)/(X+1)-(X-6)/(X) 7. Simplifying Algebraic Expressions eg. (1) (4x+1)/(3x-2)=3/2, (2) (2x-1)/(3x+1)+(4x-1)/(6x)=0 8. Quadratic Equation 1.1 Solving quadratic equations by factoring, eg. (1) 25x^2-30x+9=0, (2) x^2+10x-56=0 1.2 Solving quadratic equations by Completing the Square, eg. (1) 25x^2-30x+9=0, (2) x^2+10x-56=0 1.3 Discriminant & Nature of Roots eg. (1) 25x^2-30x+9=0, (2) x^2+10x-56=0 2. Find the quadratic equation whose roots are alpha and beta eg. (1) alpha=3, beta=-4, (2) alpha=1+3sqrt(2), beta=1-3sqrt(2) 3. Roots for non-zero denominator eg. (1) (5x-18)/(x+2)=(2x-6)/(x-1), (2) (x)/(x+1)+(x+1)/(x)=5/2, (3) 4((4x+1)/(4x-1))^(2)+(4x+1)/(4x-1)=3, (4) (4x+1)/(4x-1)+(4x-1)/(4x+1)=3 4. Roots of non-quadratic equation eg. (1) 6(x^2+1/x^2)-25(x-1/x)+12=0, (2) (x^2+1/x^2)-8(x+1/x)+14=0 9. Solve linear equation in two variables by (eg. Solve 7y+2x-11=0 and 3x-y-5=0 using Substitution method) 1. Substitution method 2. Elimination method 3. Cross multiplication method 4. Addition-Subtraction method 5. Inverse matrix method 6. Cramer's Rule method 7. Graphical method 10. Solve linear equation of any number of variables (simultaneous equations) using 1. Inverse Matrix method 2. Cramer's Rule method 3. Gauss Elimination (Jordan) method 4. Gauss Elimination (Back Substitution) method 5. Gauss Seidel method 6. Gauss Jacobi method 11. Variation Equations 1. Find value of variation using given value (1) x prop y and x=6 when y=3. Find y=? when x=18, (2) x prop y/z. x=8 when y=4 and z=3. Find x=? when y=6 and z=4. 2. Prove results for given variation (1) If x prop y then prove that x^3+y^3 prop x^2y-xy^2, (2) If 3x-5y prop 5x+6y then prove that x prop y. 12. If X+1/X=2 then find X-1/X, X^2-1/X^2, X^3+1/X^3 1. If x-1/x=6 then find (1) x^2+1/x^2 (2) x+1/x (3) x^2-1/x^2 2. If x+y=5 and xy=6 then find x^2+y^2 3. If x^2+y^2+z^2=29 and xy+yz+zx=-14 then find x+y+z 13. Interval notation and set builder notation eg. (1) 3 <= x <=7, x is odd. (2) |x^3-2| <= 25, x in Z. (3) x in[2,8) 14. Set Theory eg. A={x<=5; x in N}, B={2<=x<=8; x in N}, C={x^3-3x^2-4x=0}, Find 1. Union eg. A uu (B uu C)=(A uu B) uu C 2. Intersection eg. A nn (B uu C)=(A nn B) uu (A nn C) 3. Complement eg. (A uu B)'=A' nn B' 4. Power set(Proper Subset) eg. P(A) 5. Difference eg. (1)A-B, (2) A-(B uu C)=(A-B) nn (A-C) 6. Symmetric difference eg. (1)A Delta B, (2) B Delta C, (3) A Delta C 7. Cross Product eg. A xx B 8. Prove that any two expression is equal or not eg. A-(B uu C)=(A-B) nn (A-C) 9. Cardinality of a set eg. n(A) 10. is Belongs To a set eg. 2inB ? 11. is Subset Of a set eg. AsubB ? 12. is two set Equal or not eg. A=B ? 15. Functions 1. Find Range of f:A->B eg. 1. f(x)=5x+2 where A={1<=x<5}, 2. f(x)=sqrt(x) where A={1,4,16,36} 2. Composite functions and Evaluating functions eg. f(x)=2x+1, g(x)=x+5. Find fog(x), gof(x), fog(2), f(-3), g(4) 3. Find value eg. 1. f(x)=x(x+1)(2x+1). Find f(x)-f(x-1), 2. f(x)=x^2-2^x. Find f(2)-f(0) 16. Descartes' rule of signs eg. x^5-x^4+3x^3+9x^2-x+5 17. Mathematical Logic, truth tables, logical equivalence eg. Prepare the truth table p^^(qvvr)=(p^^q)vv(p^^r) 18. Boolean Algebra eg. D_(6), D_(9) is a boolean algebra ?

 2. Matrix Algebra Calculators 1.1 Matrix operations 1. Addition/Subtraction of two matrix 2. Multiplication of two matrix 3. Power of a matrix 4. Transpose of a matrix 5. Determinant of a matrix 6. Adjoint of a matrix 7. Inverse of a matrix 8. Prove that any two matrix expression is equal or not 9. Minor of a matrix 10. Cofactor of a matrix 11. Trace of a matrix 1.2 Matrix operations 1. Reduce matrix 2. Rank of matrix 3. Characteristic polynomial 4. Eigenvalues 5. Eigenvectors 6. Triangular Matrix 7. LU Decomposition 8. Diagonal Matrix 9. Cholesky Decomposition 10. QR Decomposition (GramSchmidt Method) 11. QR Decomposition (HouseHolder Method) 2. Find inverse of a matrix using 1. Simple inverse matrix method 2. Gauss elimination method(method of reduction) 3. Solve linear equation of any number of variables using 1. Inverse Matrix method 2. Cramer's Rule method 3. Gauss Elimination (Jordan) method 4. Gauss Elimination (Back Substitution) method 5. Gauss Seidel method 6. Gauss Jacobi method

 3. Numerical methods Calculators 1. Find a root an equation using 1. Bisection Method 2. False Position Method 3. Iteration Method 4. Newton Raphson Method 5. Secant Method 6. Birge-Vieta method (for n^(th) degree polynomial equation) 2. Numerical Differentiation using Newton's Forward, Backward method 3. Numerical Integration using Trapezoidal, Simpson 1/3, Simpson 3/8 Rule 4. Numerical Interpolation using Forward, Backward, Divided Difference, Langrange's Interpolation method 5. Solve numerical differential equation using 1. Euler, Runge-kutta (Rk2, Rk3, Rk4) methods 2. Adams bashforth predictor method 3. Milne's simpson predictor corrector method

4. Statistical Methods Calculators
1.1 Ungrouped data 85,96,76,108,85,80,100,85,70,95
1. Mean, Median and Mode for ungrouped data
2. Quartiles, Deciles and Percentiles for ungrouped data
3. Population Variance, Standard deviation and coefficient of variation for ungrouped data
4. Sample Variance, Standard deviation and coefficient of variation for ungrouped data
1.2 Grouped data
 Class 50-55 45-50 40-45 35-40 30-35 35-30 20-25 f 25 30 40 45 80 110 170
1. Mean, Median and Mode for grouped data
2. Quartiles, Deciles and Percentiles for grouped data
3. Population Variance, Standard deviation and coefficient of variation for grouped data
4. Sample Variance, Standard deviation and coefficient of variation for grouped data
1.3 Mixed data
 Class 1 2 5 6-10 10-20 20-30 30-50 50-70 70-100 f 3 4 10 23 20 20 15 3 2
1. Mean, Median and Mode for mixed data
2. Population Variance, Standard deviation and coefficient of variation for mixed data
3. Sample Variance, Standard deviation and coefficient of variation for mixed data

2. Missing frequency for
1. Ungrouped data The Mean of the observations 18,14,15,19,15,a,12,15,16 is 16. Find missing frequency a
2. Grouped data The mean of a frequency distribution of 40 persons is 16.5. Find the missing frequencies.
 Class 0 - 5 5 - 10 10 - 15 15 - 20 20 - 25 25 - 30 30 - 35 f 1 7 11 ? ? 4 2

 3. Statistics Word Problem The mean of 10 observations is 35 . While calculating the mean two observations were by mistake taken as 35 instead of 25 and 30 instead of 45 . Find the correct mean.

4. Statistics Graph
1. Histogram
2. Frequency Polygon
3. Frequency Curve
4. Less than type cumulative frequency curve
5. More than type cumulative frequency curve
The frequency distribution of the marks obtained by 100 students in a test of Mathematics carrying 50 marks is given below. Draw Histogram, Frequency Polygon, Frequency Curve, Less than type cumulative frequency curve and More than type cumulative frequency curve of the data.
 Marks obtained 0 - 9 10 - 19 20 - 29 30 - 39 40 - 49 number of students 8 15 20 45 12

 5. Arithmetic Mean, Geometric Mean, Harmonic Mean 1. Find Arithmetic mean, Geometric mean, Harmonic mean Find Arithmetic mean, Geometric mean, Harmonic mean for ungrouped data like 2,3,4,5,6 2. Find X from Arithmetic mean, Geometric mean, Harmonic mean Find X where Arithmetic mean=3.5 for ungrouped data 2,3,X,5 3. Find Mean or Median or Mode from other two's Find Mode when Mean=3 and Median=4

6. Combined mean and
combined standard deviation
Find the combined standard deviation from the following data.
 A B number of Observations 40 60 Average 10 15 S.D. 1 2

7. Mean deviation about mean for
1. Ungrouped data 85,96,76,108,85,80,100,85,70,95
2. Grouped data Calculate mean deviation about mean for the following distribution.
 Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 No. of student 6 5 8 15 7 6 3

8. Pearson's Correlation Coefficient
1. for X & Y or Class-X & Y Calculate correlation coefficient for following weights fathers X and their sons Y
 X 65 66 67 67 68 69 70 72 Y 67 68 65 68 72 72 69 71
2. for bivariate grouped data Calculate the correlation coefficient
 Class-YClass-X 90-100 100-110 110-120 120-130 50-55 4 7 5 2 55-60 6 10 7 4 60-65 6 12 10 7 65-70 3 8 6 3

9. Spearman's Rank Correlation Coefficient (RHO) 1. Ten participants in a contest are ranked by two judges as follows
 X 1 6 5 10 3 2 4 9 7 8 Y 6 4 9 8 1 2 3 10 5 7
2. Obtain the rank correlation coefficient for the following data.
 X 68 64 75 50 64 80 75 40 55 64 Y 62 58 68 45 81 60 68 48 50 70

10. Regression line equations
1. Find the equation of two regression lines, also estimate Find the equation of regression line equations and correlation coefficient from the following data.
 X 28 41 40 38 35 33 46 32 36 33 Y 30 34 31 34 30 26 28 31 26 31
2. Find Correlation Coefficient from two Regression line equations The regression equation of two variables are 5y = 9x - 22 and 20x = 9y + 350. Find the means of x and y. Also find the value of r.
3. Find Regression line equations using mean, standard deviation and correlation correlation (r) The following information is obtained form the results of examination
 Marks in Stats Marks in Maths Average 39.5 47.5 S.D. 10.8 16.8
The correlation coefficient between x and y is 0.42. Obtain two regression line equations and estimate y for x = 50 and x for y = 30.
4. Find Regression line equations from sum x, sum y, sum x^2, sum y^2, sum xy, n The following information is obtained for two variables x and y. Find the regression equations of y on x.
 sum xy = 3467 sum x = 130 sum x^2 = 2288 n = 10 sum y = 220 sum y^2 = 8822

11. Regression line equations for bivariate grouped data Find Regression Lines
 Class-YClass-X 90-100 100-110 110-120 120-130 50-55 4 7 5 2 55-60 6 10 7 4 60-65 6 12 10 7 65-70 3 8 6 3

12. Curve Fitting - Method of Least Squares
1. Fitting a straight line (y=a+bx)
2. Fitting a second degree parabola (y=a+bx+cx^2)
3. Fitting a cubic equation (y=a+bx+cx^2+dx^3)
Fit a straight line, second degree parabola, cubic equation for the following data on production.
 Year 1996 1997 1998 1999 2000 Production 40 50 62 58 60

 13. 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

 14. Probability 1. Coin 2. Dice 3. Cards 4. Balls

 5. Operation Research Calculators 1. Assignment problem 1. Assignment problem (Using Hungarian method) 2.1 Travelling salesman problem using hungarian method 2.2 Travelling salesman problem using branch and bound (penalty) method 2.3 Travelling salesman problem using branch and bound method 2.4 Travelling salesman problem using nearest neighbor method 3. Crew assignment problem 2. Simplex method (Solve linear programming problem using) 1. Simplex method 2. BigM method 3. Two-Phase method 4. Dual Simplex method 5. Integer Simplex method (Gomory's cutting plane method) 6. Graphical method 7. Primal to dual conversion 8. Branch and Bound method 9. 0-1 Integer programming problem 3. Transportation Problem using 1. North-West corner method 2. Least cost method 3. Vogel's approximation method 4. Optimal solution using MODI method 5. Optimal solution using stepping stone method 4. PERT and CPM 5. Sequencing Problems 6. Replacement and Maintenance Models 1. Model-1 : Replacement policy for items whose running cost increases with time and value of money remains constant during a period 1.1 Model-1.1 1.2 Model-1.2 1.3 Model-1.3 2. Model-2 : Replacement policy for items whose running cost increases with time but value of money changes constant rate during a period 3. Model-3 : Group replacement policy 7. Game Theory 1. Saddle Point 2. Dominance method 3. Algebraic method 4. Calculus method 5. Arithmetic method 6. Matrix method 7. 2Xn Games 8. Graphical method 9. LPP method 10. Bimatrix method

 6. Word Problems Calculators 1. Arithmetic Progression 2. Geometric Progression 3. Simple Interest 4. Compound Interest 5. HCF-LCM Word Problem 6. Installment 7. Percentage 8. Profit Loss Discount 9. Statistics Word Problem 10. Problem on Ages 11. Unitary Method

 7. Calculus Calculators 1. Trigonometry 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 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

 8. Geometry Calculators 1. Coordinate Geometry Calculators 2. Graphs 1. Graphs - Plotting of mathematical functions f(x) or f(y) 2. Graph - Using Points and Slope 2.1 Points : (3,-5),(5,3) 2.2 Points on X-axis : -3,5,12,-7,0 2.3 Points on Y-axis : -3,5,12,-7,0 2.4 Lines : x=-3y+5; 2x+y=1; x+2y<=5; x+y>=15 2.5 Line using Slope & point : Slope=7 and Point=(4,6) 2.6 Line using Slope & Y-Intercept : Slope=2 and Y-Intercept=-4 2.7 Line passing through two points : Point1=(3,-5) and Point2=(5,3) 3. Circle 4. Ellipse 5. Parabola 6. Hyperbola 7. Polar Graph 8. Statistics Graph 8.1 Histogram 8.2 Frequency Polygon 8.3 Frequency Curve 8.4 Less than type cumulative frequency curve 8.5 More than type cumulative frequency curve 3. Area 1. Circle 2. Semi-Circle 3. RegularHexagon 4. Square 5. Rectangle 6. Parallelogram 7. Rhombus 8. Trapezium 9. Scalene Triangle 10. Right angle Triangle 11. Equilateral Triangle 12. Isosceles Triangle 13. Sector Segment 4. Volume 1. Cuboid 2. Cube 3. Cylinder 4. Cone 5. Sphere 6. Hemi-Sphere 5. Pythagorean Theorem

 10. College Algebra Calculators (For BCA, MCA Students) 1. Addition, Subtraction, Multiplication, Division of two numbers 1. Addition, Subtraction, Multiplication, Division of two numbers in Decimal 2. Addition, Subtraction, Multiplication, Division of two numbers in Binary 3. Addition, Subtraction, Multiplication, Division of two numbers in Octal 4. Addition, Subtraction, Multiplication, Division of two numbers in HexaDecimal 5. Addition, Subtraction, Multiplication, Division of two numbers in Other (Eg: Base=6) 2. Number System Conversion 3. 1's, 2's, 7's, 8's, 9's, 10's, 15's, 16's complement subtraction method 1. 1's complement subtraction method 2. 2's complement subtraction method 3. 7's complement subtraction method 4. 8's complement subtraction method 5. 9's complement subtraction method 6. 10's complement subtraction method 7. 15's complement subtraction method 8. 16's complement subtraction method 4. Matrix Algebra 5. Numerical Methods 6. Statistical Methods 7. Operation Research (OR) 8. Mathematical Logic, truth tables, logical equivalence 9. Boolean Algebra

 11. Games 1. Online Sudoku Creator and Solver 2. Online Dots game 3. 21 MatchStick Problem 4. The Mind Reader Game 5. Shift-It 6. 2 Digit Number Guess 7. Minesweeper 8. Tic-Tac-Toe 9. Chess With CPU 10. Concentration 11. Lights Out 12. Three Glass Puzzle (MilkCane Problem) 13. Peg 14. Tower of Hanoi