Albert Einstein, thinker

← I'm not sure exactly what Albert Einstein meant when he said that. He was, of course, a great mathematician, and (contrary to myth) he was known to have been a good math student. But I think he was acknowledging that whatever your level of understanding, learning new math—pushing your limits—can be difficult.

Humans are innately mathematical beings; we notice things like symmetry and we're good at estimating and comparing numbers. But we're really not that good at concentrating for long periods of time on challenging problems. That may be why we revere thinkers like Einstein, who was capable of focusing deeply on the most challenging problems of his time.

Don't compare yourself to others (especially Albert Einstein) when learning math. Intelligence, including your knowledge of math, can be increased by sustained effort. Keep at it and remind yourself once in a while how far you've come. Even Einstein had a lot to learn.

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Quadratic functions VIDEO

Polynomial functions VIDEO

Rational functions VIDEO

Rational & negative exponents VIDEO

Exponential functions VIDEO

Trigonometric equations VIDEO

Limits VIDEO

The derivative VIDEO

Chain rule VIDEO

Derivatives of trig. functions

Derivatives of log & exp. functions

Implicit differentiation VIDEO

Integration by trig. substitution

Tough integrals (examples)

Separable differential equations

Logistic differential equations

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