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SymPy is a Python library for symbolic mathematics. In this tutorial, the author demonstrates how to use SymPy to solve equations and perform matrix operations. The author also shows how to add titles and keywords to graphs.

**00:00:00**In this tutorial, the author introduces SymPy, which is a Python library for symbolic computation. He covers getting started, importing SymPy, and different ways to use SymPy. He then shows how to solve equations and represent equations in SymPy. He also discusses how to make matrices and plot graphs. Finally, he provides examples of basic 2D plotting.**00:05:00**In this video, the presenter introduces SymPy, a Python programming language library that includes functions for prime numbers, square roots, and other mathematical operations. The presenter demonstrates how to use SymPy's prime function to find the first prime number. Next, the presenter demonstrates how to use SymPy's square root function to find the square root of a number. Finally, the presenter demonstrates how to use SymPy's all function to import all the functions from SymPy.**00:10:00**This 1-minute video tutorial shows how to use the SymPy library to calculate simple mathematical functions. Importing the library and the relevant modules is explained, and then two examples are run. The output of the examples is very different, since SymPy calculates the functions symbolically while the math library uses numerical approximations. A shortcut for importing all modules from SymPy is shown, and the SymPy module's latex printing is also explained.**00:15:00**SymPy is a library used for symbolic calculation, which allows expressions to be kept in their symbolic form. Different ways of importing SymPy are demonstrated, including importing it as sp and then using the sp.Rational() function. The symbolic form of fractions and functions is shown, as well as how to get the numerical value of an expression.**00:20:00**In this video, SymPy is introduced and its features are overviewed. The video then demonstrates how to work with expressions and variables in SymPy. Finally, the video demonstrates how to run expressions and show their results in different formats.**00:25:00**In this video, SymPy tutorialist John Giannandrea introduces the Python programming language and demonstrates how to use SymPy symbols to represent mathematical operations. He also demonstrates how to use SymPy symbols to represent Latin and Greek letters, and how to import symbols directly into SymPy.**00:30:00**In this tutorial, the author demonstrates how to calculate the area of a triangle using SymPy, a Python library for symbolic mathematics. First, the author sets up a symbolic variable to hold the area of the triangle. Next, the author calculates the area of the triangle using SymPy's dotsub function. Finally, the author shows how to calculate the greatest common divisor of two numbers using SymPy's gcd function.**00:35:00**In this tutorial, SymPy demonstrates how to factor an expression, expand an expression, and do parentheses-style expansion.**00:40:00**In this video, the presenter covers basics of SymPy, a Python library for symbolic mathematics. SymPy can simplify expressions for you, and it also provides functions for solving equations.**00:45:00**In this video, the presenter shows how to solve equations in SymPy. First, they show how to write the equation in a symbolic form. Next, they show how to solve the equation using SymPy's solve function. Finally, they show how to get an equation as a user input.**00:50:00**In this tutorial, SymPy is used to solve equations and perform matrix operations.**00:55:00**This tutorial covers the basics of using SymPy for mathematics and plotting. The author explains the basics of SymPy's Cartesian plotting functions, and shows how to add titles and keywords to graphs.

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