- Intuition to some basic ideas of calculus
- Limiting cases I: the integral of
*e*and the finite-domain Fourier transform^{ax} - Limiting cases II: repeated roots of a differential equation
- Making sense of Euler's formula
- Intuition to convergence
- Discovering the Fourier transform
- Understanding variable substitutions and domain splitting in integrals
- Trace, Laplacian, the Heat equation, divergence theorem

- What's with e^(-1/x)? On smooth non-analytic functions: part I
- What's with e^(-1/x)? On smooth non-analytic functions: part II
- Random variables as vectors
- Convolutions, generating functions and the central limit theorem
- Chi-squared distributions

**Resources**

- Khan Academy Calculus[
*companion*] - The Calculus of Friendship (Steven Strogatz)[
*companion*] - Lang, Calculus [
*textbook*] - (to be contd.)

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