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A curated collection of Jupyter notebooks exploring core topics in numerical and scientific computing. Covers root-finding, interpolation, ODEs, quadrature, and linear algebra using Python. Ideal for hands-on practice in computational modeling and analysis.

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davidkim1/python-appliedMath

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Numerical Computing

This repository contains a collection of Jupyter notebooks and Python scripts that explore foundational techniques in numerical computational problem-solving.

The materials cover a variety of topics related to:

  • Working with numerical data
  • Error analysis and floating-point behavior
  • Root-finding and optimization techniques
  • Function interpolation and approximation
  • Numerical differentiation and integration
  • Solving ordinary differential equations (initial and boundary value problems)
  • Concepts in linear algebra including decomposition methods and matrix computations

These notebooks are structured to build practical skills for modeling, analyzing, and solving computational problems using Python-based tools and libraries like NumPy, SciPy, and Matplotlib.

All examples emphasize clarity, reproducibility, and interpretation of results. This work serves as both a technical reference and hands-on coding practice for anyone interested in applying numerical methods to real-world problems.

Technologies Used

  • Python
  • Jupyter Notebooks
  • NumPy
  • SciPy
  • Matplotlib

Note

This repository is intended for educational and reference purposes. All code and explanations are shared in the spirit of learning and knowledge building.

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A curated collection of Jupyter notebooks exploring core topics in numerical and scientific computing. Covers root-finding, interpolation, ODEs, quadrature, and linear algebra using Python. Ideal for hands-on practice in computational modeling and analysis.

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