Programming with Pascal and Fortran

• Introduction to programming using Pascal and Fortran
• Writing, compiling, and executing basic programs

Regression

• Fundamentals of regression analysis
• Applications in data modeling and prediction

Systems of Linear Algebraic Equations

• Methods for solving systems of linear equations
• Techniques such as Gaussian elimination and LU decomposition

Numerical Integration

• Methods for approximating definite integrals
• Techniques such as trapezoidal rule and Simpson’s rule

Finding the Roots of Non-Linear Algebraic Equations

• Numerical methods for root-finding
• Techniques such as bisection method, Newton-Raphson method, and secant method

System of Non-Linear Algebraic Equations

• Solving systems of non-linear equations
• Iterative methods and convergence analysis

Explicit Method for Solving First-Order Differential Equations

• Numerical solutions of first-order differential equations
• Techniques such as Euler’s method and Runge-Kutta methods