📗 Chapter 2: Numerical Integration and Differentiation

In this chapter, you will learn how to approximate derivatives and integrals of functions using numerical methods. These techniques are essential when analytical solutions are unavailable and are widely used in engineering, signal processing, and dynamic system analysis.

• Approximate derivatives using two-point and three-point formulas.
• Apply numerical integration methods:
  • Rectangle method,
  • Trapezoidal rule,
  • Simpson’s rule.
• Evaluate the order of accuracy of numerical formulas.
• Estimate approximation errors in differentiation and integration.
• Apply these numerical techniques to solve practical problems in engineering and science.