SymPy is a Python library for symbolic mathematics. It aims to become a full-featured computer algebra system (CAS) while keeping the code as simple as possible in order to be comprehensible and easily extensible. SymPy is written entirely in Python. SymPy is used in many projects such as Cadabra, ChemPy, EinsteinPy, galgebra, Lcapy, SageMath, SfePy, Spyder, yt, etc. SimPy is free, lightweight and Python-based. We outline the contents of this lecture as follows:

00:00 What is SymPy ?
00:59 Installing SymPy using pip
01:53 Importing SymPy
02:16 Symbols
02:33 Defining a mathematical function
03:12 Operations
04:48 Functions & Plotting
11:43 Printing (and pretty printing)
14:12 Simplifying a mathematical expression
26:00 Differentiating
28:34 Integrating
30:59 Limits
33:02 Taylor Series Expansion
35:07 Solving f(x) = 0
26:00 Differentiating
37:39 Solving a system of linear equations
40:56 Solving a system of non-linear equations
41:54 Solving differential equations
43:36 Summary

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