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Calculus Fundamentals
Discovering calculus with SymPy.
Watch Intro Video
26
Getting Started
(03:48)
Getting started with Anaconda Notebooks
Course Overview and Learning Objectives
SymPy Basics and Functions
(30:59)
Number Theory
SymPy Basics
Functions, Exponents, and Logarithms
Exercise: Using SymPy
Limits
(23:38)
Approaching Infinity
Introducing Limits
Euler's Number
Exercise: Solve the Limit
Derivatives and Partial Derivatives
(19:41)
Secant and Tangent Lines
Derivatives
Partial Derivatives
Exercise: Calculate the Slope
Gradient Descent
(40:47)
Understanding Gradient Descent
Simple Gradient Descent
Multivariable Gradient Descent
Gradient Descent for Linear Regression
Stochastic Gradient Descent
Exercise: Minimize the Function Loss
Integrals
(16:55)
Discovering Integration
Reimann Sums
Normal Distribution Example
Exercise: Find the Area
Conclusion
(02:55)
Summary and Further Reading Resources
End of Course Survey