Computational Mathematics

Numerical Integration

Explore the methods of numerical integration and how they are applied in computational mathematics.

Goal:

Learn how areas are approximated using numerical methods.

3Lessons

6Micro-lessons

IntermediateDifficulty

Lesson 1

Understand the trapezoidal rule and its application in numerical integration.

Start2 Micro-lessons

Micro lesson 1

Basic Trapezoidal Rule

Micro lesson 2

Trapezoidal Rule Errors

Lesson 2

Learn how Simpson's rule improves accuracy in numerical integration.

Start2 Micro-lessons

Micro lesson 1

Simpson's Rule Application

Micro lesson 2

Simpson's Rule Limitations

Lesson 3

Explore adaptive quadrature methods for better precision.

Start2 Micro-lessons

Micro lesson 1

Adaptive Quadrature Techniques

Micro lesson 2

Challenges in Adaptive Quadrature