10.001 Advanced Math I

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Calculus for functions of one variable. Derivatives of the key functions of mathematics; e^x and solution of dy/dx=y; product rule, quotient rule, chain rule; inverse functions and logarithms; maximum-minimum problems; linear approximation and Newton’s method; complex numbers and series; integration and Fundamental Theorem of Calculus; applications including area and probability and y’ ‘= – y and basic differential equations.

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