| 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
- Real-valued 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
|