# Syllabus for

##### 1. Communication English
1.1. Critical Reasoning (6 Marks)
1.2. Error Analysis (2 Marks)
1.3. Analogies (2 Marks)
##### 2. Mathematics
2.1. Basic Mathematics (4 Marks)
2.1.1. Sets and Functions
2.1.2. Two dimension and three dimension co-ordinate geometry
2.2. Algebra (8 Marks)
2.2.1. Polynomials
2.2.2. Complex Number
2.2.3. Sequence and Series
2.2.4. Permutation and Combination
2.2.5. Equations and inequalities
2.2.6. Matrix and Determinants
2.2.7. Eigen values and Determinant , Diagonalization of matrix
2.2.8. Linear Programming
2.3. Vector Analysis (6 Marks)
2.3.1. Vector Algebra :Vectors and Scalars, Product of two , three, and four vectors reciprocal system
2.3.2. Vector Calculus : Gradient, Curl and Divergence , line integral , surface integral and volume integral
2.4. Calculus (12 Marks)
2.4.1. Limits and Continuity , Ordinary and partial Differentiation
2.4.2. Indefine and define Integration
2.4.3. Application of Derivative and Anti-derivatives
2.4.4. Ordinary Differential Equation
2.5. Elementary Statistics and Probability (3 Marks)
2.6. Elementary Trigonometry , Logarithm (4 Marks)
2.7. Transforms: Laplace Transform , Fourier Series (4 Marks)