Year I 
Topic 
Description 
Calculus 
 Differential calculus
 Geometrical application of differential calculus
 Asymptotes
 Integral Calculus
 Multiple Integrals

Probability & Statistics 
 Probability and theoretical distributions
 Transformation of random variable
 Testing of hypothesis
 Correlation and regression
 Statistical quality control

Analytical Solid Geometry 
 Analytical geometry of two dimensions
 Analytical geometry of three dimensions
 Central coincides
 Paraboloids
 Transformation of rectangular axes

Differential Equations 
 Solving ordinary differential calculus
 Differential equations with constant coefficients
 Formation and solving PDE
 Homogenous linear differential equations
 Laplace transforms

Year II 
Topic 
Description 
Real Analysis 
 Sets and Functions
 Realvalued functions
 Equivalence, Countability
 Real Numbers
 Least upper bounds

Abstract Algebra 
 Preliminaries
 Group and commutative group
 Definition of subgroup and examples
 Definition of cyclic group
 Permutation

Mechanics 
 Friction
 Common catenary
 Impact
 Virtual work
 Moment of force

Linear Algebra 
 Vector spaces
 Inner product spaces
 Linear transformations
 Eigen values and Eigen vectors

Year III 
Topic 
Description 
Discrete Mathematics 
 Relations
 Division algorithm
 Logic
 Graph theory

Linear Programming & Its Applications 
 Unear programming problem
 Problem formulation
 Types of solutions
 Linear programming in matrix notation

Complex Analysis 
 Analytical function
 Transformation
 Contour integral
 Taylor and Laurent theorem
 Evaluation of Integral

Numerical Analysis 
 Direct and iterative method
 Numerical differentiation and integration
 Polynomial approximation
 Numerical solution of ordinary differential equations
 Numerical solution of partial differential methods
