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 All Calculators 1. Algebra Calculators 2. Matrix Algebra Calculators 3. Numerical methods Calculators (Computer Oriented Numerical method - Conm) 4. Statistical Methods Calculators 5. Operation Research Calculators 6. Wording Problems Calculators 7. Calculus Calculators 8. Plots & 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 . Factor of an equation 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 of an algebraic expression 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 perfact square, Find missing term 1. Convert the given equation into perfact square form eg. 9x^2+6x+1= 9( x+1/3 )^2 2. Check a given equation is perfact square or not eg. (1) x^2-4xy+4y^2, (2) 3x^2+5x+2 3. Find the missing term so the given equation is perfect square eg. (1) 9x^2 - __ + 16, (2) __ + 12x^2 + 9, (3) 49x^2 + 56 xy + __ 5 . GCD-LCM of Polynomials eg. Find GCD, LCM of (2X^2-4X), (3X^4-12X^2), (2X^5-2X^4-4X^3) 6 . Rational Expressions 1. Reduced terms eg. (4X^2-25)/(8X^3-125) 2. Addition, Subtraction, Multiplication and Division of Rational Polynomials eg. (X-3)/(X+1)-(X-6)/(X) 7 . Solve or simplify linear equation eg. (1) (4x+1)/(3x-2)=3/2, (2) (2x-1)/(3x+1)+(4x-1)/(6x)=0 8 . Quadratic Equation 1.1 Roots by factorization, eg. (1) 25x^2-30x+9=0, (2) x^2+10x-56=0 1.2 Roots by Perfact 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. Form quadratic equation using given two roots 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 using (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 . Variation 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. 11 . Expansion: X+1/X to X-1/X 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 12 . Interval notation and Builder set notation eg. (1) 3 <= x <=7, x is odd. (2) |x^3-2| <= 25, x in Z. (3) x in[2,8) 13 . 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. Minus eg. (1)A-B, (2) A-(B uu C)=(A-B) nn (A-C) 6. Cross Product eg. A xx B 7. Prove that any two expression is equal or not eg. A-(B uu C)=(A-B) nn (A-C) 8. Cardinality of a set eg. n(A) 9. is Belongs To a set eg. 2inB ? 10. is Subset Of a set eg. AsubB ? 11. is two set Equal or not eg. A=B ? 14 . 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 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) 15 . Descartes' rule of signs eg. x^5-x^4+3x^3+9x^2-x+5 16 . Solve linear equation of any number of variables Inverse matrix method, Gauss elimination method eg. Solve 2x+y+z=5, 3x+5y+2z=15, 2x+y+4z=8 using Inverse matrix method 17 . Mathematical Logic 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. Matrix operations 1. Addition of two matrix 2. Multiplication of two matrix 3. Power of a matrix 4. Transpose of a matrix 5. Deteminant 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. Eigenvalue 5. Eigenvector 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 2. Gauss elimination (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. Computer Oriented Numerical method (Conm) 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. Solve 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 3. Numerical Differentiation using Newton's Forward, Backward method 4. Numerical Integration using Trapezoidal, Simpson 1/3, Simpson 3/8 Rule 5. Numerical Interpolation using Forward, Backward, Divided Difference, Langrange's Interpolation method 6. 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. Mean, Median, Mode, Quartiles, Delices, Percentiles, Variance for
1. Ungrouped data 85,96,76,108,85,80,100,85,70,95
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
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

2. Standard deviation and coefficient of variation for
1. Ungrouped data 85,96,76,108,85,80,100,85,70,95
2. Grouped data Calculate the mean and standard deviation for the following distribution
 Class 50-55 45-50 40-45 35-40 30-35 35-30 20-25 f 25 30 40 45 80 110 170
3. Mixed data Calculate the mean and standard deviation for the following distribution
 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

3. Combined mean and
combined standard deviation
Find the combined standard deviation from the following data.
 A B No of Observations 40 60 Average 10 15 S.D. 1 2

4. 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

 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. Mean deviation about mean, median, mode 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 srudent 6 5 8 15 7 6 3

 7. Statistics Wording 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.

8. 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 tudents 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 No of students 8 15 20 45 12

9. Correlation Coefficient for
1. Ungrouped data 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. 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

10. Rank Correlation Coefficient 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

11. Regression lines
1. Regression lines for X & Y and Class-X & Y Find the equation of regression lines and correlation coefficient from the follwoing data.
 X 28 41 40 38 35 33 46 32 36 33 Y 30 34 31 34 30 26 28 31 26 31
2. Correlation Coefficient from Regression Lines 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. Regression lines from average, standard deviation, Correlation Coefficient (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 lines and estimate y for x = 50 and x for y = 30.
4. Regression lines from sum x, sum y, sum x^2, sum y^2, sum xy, n The follwoing 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

12. Regression lines for 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

13. Curve Fitting - Method of Least Square
1. straight line (y=a+bx)
2. second degree parabola (y=a+bx+cx^2)
3. 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

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

 7. Calculus Calculators 1. Trigonometry 1. Solve expression or prove result, 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 other trigonometry 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. Plots & Geometry Calculators 1. Coordinate Geometry Calculators 2. Graphs 1. Graph for any 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 using 2 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 2. Area 1. Circle 2. Semi-Circle 3. RegularHexagon 4. Square 5. Rectangle 6. Parallelogram 7. Rhombus 8. Trapezium 9. Scalene Triangle 10. Rightangle Triangle 11. Equilateral Triangle 12. Isoceles Triangle 13. Sector Segment 3. Volume 1. Cuboid 2. Cube 3. Cylinder 4. Cone 5. Sphere 6. Hemi-Sphere 4. Pythagoras Theorem

 9. Pre-Algebra Calculators 1. Addition, Subtraction, Multiplication, Division of two numbers 2. Pronounce a number 3. Factors of a number (Prime factors, All factors) 4. HCF LCM of numbers 5. Prime Numbers 6. Number Crunching (Solve any numerical expression) 7. Decimal 1. Decimal to Fraction conversion 2. Fraction to Decimal conversion 3. Round off decimal number 4. Decimal number To Scientific notation 5. Scientific notation To Decimal number 9. Fraction 1.1 Reduced Terms 1.2 Improper Fraction To Mixed Number 1.3 Fraction to Decimal 2. Mixed Number To Improper Fraction 3. Compare Two Fraction 4. Addition, Subtraction, Multiplication and Division of Fraction Numbers 10. Power: Square, Cube, Nth Power 11. Radical: Squareroot, Cuberoot, Nth Root 12. Square Root with all steps 13. Cube Root with all steps 14. Number Divisibility Rules (number is divisble by 2,4,8, 3,9, 5,10, 7,11,13,17,19,23,29 using divisibility rules) 15. Find the Next number in the given sequence (number series) 16. Unit Conversion 1. Angle to Degree, Minute & Second Conversion 2. Degree Conversion 3. Length Conversion 4. Mass Conversion 5. Money Conversion 6. Power Conversion 7. Speed Conversion 8. Temperature Conversion 9. Time Conversion 10. Volume Conversion 17. One Base to Other Base Conversion 1. Decimal to Binary 2. Decimal to Octal 3. Decimal to Hexadecimal 4. Binary to Decimal 5. Binary to Octal 6. Binary to Hexadecimal 7. Octal to Decimal 8. Octal to Binary 9. Octal to Hexadecimal 10. Hexadecimal to Decimal 11. Hexadecimal to Binary 12. Hexadecimal to Octal 13. Decimal to Other 14. Other to Decimal 15. Other to Other 18. Tables 1. Addition table 2. Multiplication table rows and columns 3. Multiplication table 1 to 30 4. Roman table 5. Square table 6. Cube table 7. Power table 8. Roman table 9. Sin table 10. Cos table 11. Tan table 12. Sin, Cos, Tan table 13. Area formula 14. Volume formula 15. Factors formula 16. Number system conversion table 19. Place Value 20. Leap Year

 10. College Algebra Calculators (For BCA, MCA Students) 1. Addition, Subtraction, Multiplication, Division of two numbers 1.1 Addition, Subtraction, Multiplication, Division of two numbers in Decimal 1.2 Addition, Subtraction, Multiplication, Division of two numbers in Binary 1.3 Addition, Subtraction, Multiplication, Division of two numbers in Octal 1.4 Addition, Subtraction, Multiplication, Division of two numbers in HexaDecimal 1.5 Addition, Subtraction, Multiplication, Division of two numbers in Other (Eg: Base=6) 2. Conversion From One Base Number To Other Base Number 3. 1's, 2's, 7's, 8's, 9's, 10's, 15's, 16's complement subtraction method 4. Matrix Algebra 5. Computer Orientented Numerical Methods (CONM) 6. Computer Orientented Statistical Methods (COSM) 7. Operation Research (OR)

 11. Games 1. Online Sudoku Creator and Solver 2. Dots 3. 21 MatchStick Problem 4. Mind-Reader 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. Hanoi Tower