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Wolfram Mathematica

Lectures

  1. Introduction

    Lecture_0.nb

    Wolfram language basics. Working in Mathematica notebook. Expression structure. Definition and application of functions. Operations with lists.

  2. Patterns and Replacements

    Lecture_1.nb
    Assignment_1.pdf

    Expression structure. Deep understanding of Replacements. Usage of patterns and Conditions.

  3. Numerical Computations

    Lecture_2.nb
    Assignment_2.pdf

    Solutions of equations using Solve and Reduce. Numerical solutions via NSolve and FindRoot. Solutions of (partial) diffrential equations via DSolve and NDSolve.

  4. Visualization

    Lecture_3.nb
    Assignment_3.pdf

    Simple examples of visualizations. Functions Plot, Show, ListPlot, ContourPlot, Plot3D, Manipulate.

  5. Eigenproblems

    Lecture_4.nb
    Assignment_4.pdf

    Working with matricies. Symbolic and numerical solutions of eigenproblem. Solving differential eigenproblem (Sturm-Liouville problem) using different numerical approaches: shooting method and finite-matrix representation

  6. Applications in Theoretical Physics

    Assignment_X.pdf

    "Real life" problems from Theoretical Physics.

Additional materials