# Calculus of One Real Variable

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Limits
• Basic properties of Functions of One Real Variable
Differentiation and Affine Approximation in One Real Variable
The natural exponential function $\, e^x \,$
The Chain Rule in One Real Variable
Taylor Expansion in One Real variable
Riemann Integration in One Real Variable
The Fundamental Theorem of Calculus
Sequences and series
Fourier Series (of periodic functions)
Fourier Transform (of non-periodic functions)
Exact Differential Forms
Ordinary Differential Equations

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Other relevant sources of information:

• The Essence of Calculus, Steven Strogatz on YouTube
Differential calculus
Integral calculus

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