Mathematica

Basic syntaxes, formatting, resources, trouble-shooting, Numerical and symbolic computation

Data plotting in 1D, 2D and 3D with examples from Physics and Mathematics

Advanced programming concepts: Switch case, try-catch, error handling. 

Introduction to MATLAB's in-built functions. 

Hands-on: Writing more complex scripts and functions.

Introduction to 2D plotting: plot, scatter, line, area, bar, etc. 

Introduction to 3D plotting: meshgrid, surf, contour, etc. 

Hands-on: Creating various 2D and 3D plots.

Reading and writing data: text files, CSV files, Excel files. 

Data types and data structures: Cells, tables, structures. 

Hands-on: Reading, manipulating, and writing data.

Introduction to numerical methods in MATLAB: Roots of equations, linear algebraic equations, interpolation, numerical integration and differentiation. 

Hands-on: Implementing numerical methods.

Introduction to symbolic math toolbox. Symbolic calculations: Algebra, calculus, simplification, solving equations. 

Hands-on: Performing symbolic calculations.

Using MATLAB for physics: Classical mechanics, quantum mechanics, thermodynamics, electromagnetism. 

Hands-on: Solving physics problems using MATLAB.

Using MATLAB for mathematics: Linear algebra, differential equations, statistics. 

Hands-on: Solving math problems using MATLAB.

Participants work on a final project that incorporates the skills learned. 

Q&A session to address any questions or difficulties.