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Computational Mathematics

Numerical Differentiation

Explore methods to approximate derivatives from data, focusing on practical applications and problem-solving.
Goal:
Learn how derivatives are approximated from data.
3Lessons
6Micro-lessons
IntermediateDifficulty
Lesson 1

Finite Differences

Understand the concept of finite differences and how they are used in numerical differentiation.
Start2 Micro-lessons

Micro lesson 1
Forward Difference Method
Micro lesson 2
Backward Difference Method
Lesson 2

Error Analysis

Learn to analyze errors in numerical differentiation and improve accuracy.
Start2 Micro-lessons

Micro lesson 1
Truncation Errors
Micro lesson 2
Round-off Errors
Lesson 3

Advanced Techniques

Explore advanced techniques in numerical differentiation for complex problems.
Start2 Micro-lessons

Micro lesson 1
Richardson Extrapolation
Micro lesson 2
Complex Step Method