MATHEMATICS

ALGEBRA
1.         Sets, Relation, function
2.         Complex Number
3.         Theory of equation (including Quadratic equation)
4.         Permutation and combination
5.         Binomial, Logarithmic and Exponential Series
6.         Sequence and Series (A.P., G.P., H.P., Others)
7.         Matrix and Determinants
8.         Theory of numbers.

CALCULUS

DIFFERENTIAL CALCULUS
1.         Limit, continuity and differentiability
2.         Partial Differentiation
3.         Tangent and Normal
4.         Maxima and Minima
5.         Taylor's theorem, Rolle's theorem, Mean value theorem
6.         Curvature, Asymptotes
7.         Point of inflexion, Curve tracing
8.         Jacobian & Rate of change

INTEGRAL CALCULUS
1.         Indefinite Integration
2.         Definite Integration
3.         Application of integration (Area, Volume, Surface area, etc.)
4.         Solid of revolution (Surface Area & Volume)

DIFFERENTIAL EQUATION
1.         First order and First degree differential equation
2.         First order but not of First degree differential equation
3.         Linear differentiation equation & Bernoulli's differential equation
4.         Orthogonal trajectories (polar & cartesian)
5.         Application of Differential equation

CO-ORDINATE GEOMETRY

CO-ORDINATE GEOMETRY (2D)
1.         Straight line and Pair of Straight line.
2.         Circle
3.         Parabola
4.         Ellipse
5.         Hyperbola
6.         Properties of second degree equations as  different conics.

CO-ORDINATE GEOMETRY (3D)
1.         Plane
2.         Straight line
3.         Sphere
4.         Cone and cylinder
5.         Enveloping cone and cylinder
STATISTICS
1.         Measure of central tendency and dispersion.
2.         Correlation and regression.
3.         Skewness,, Kurtosis, Curve fitting and Method of least square
4.         Probability
5.         Random variable, Distribution function, Binomial, Poisson, and normal   distribution etc.
6.         Moment generating function and  Chi-square fitting into data.

ABSTRACT ALGEBRA
1.         Group, Ring, Field
2.         Vector space and Linear Algebra
3.         Linear transform with application of matrices

MISCELLANEOUS (MATHEMATICS)
1.         Elementary Numerical Analysis and its geometric equivalences
2.         Vectors with geometric interpretation.
3.         Trigonometry
4.         Convergence & Divergence, sequence & series

COMPUTER SCIENCE

1.         Fundamentals of Computers and
Number System (Binary, Octal, Hexadecimal)
2.         Elements of Data Structure
3.         Flowchart and Algorithms
4.         Programming in C
5.         Computer Organization
6.         Elementary Operating System
7.         Data Base
8.         Networking

                                                                       ARITHMETIC
1.         Percentage, Profit and loss, Discount, Successive Discounts, Averages
2.         Time and Work, Time and Distance, Trains and Bridges
3.         Clock, Calendar, Cistern and Pipes, Allegation
4.         Mensuration
5.         Data Interpretation
6.         Partnership, Compound Interest etc.

                                                                       REASONING
1.         Analogy, Classification and Series Completion
2.         Coding-Decoding, Blood Relation, Direction Test
3.         Puzzle Test
4.         Cubes and Dice, Venn diagram
5.         Decision Making, Asertion and Reason, Statement and Conclusion
6.         Paper Folding, Paper Cutting, Mirror and Water Images.
7.         Pattern Matching etc.
                                                                       ENGLISH
1.         Comprehension
2.         Synonyms
3.         Grammar (Preposition, Article, Gerund, Infinitive etc.)