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Precalculus

Khan Academy, , Prof. Salman Khan

Updated On 02 Feb, 19

Overview

Introduction to limits - Limit examples w/ brain malfunction on first prob - Squeeze theorem (sandwich theorem) - Proof: lim (sin x)/x - More limits - Sequences and Series - Permutations - Combinations - Binomial Theorem - Binomial theorem combinatorics connection - Introduction to interest - Introduction to compound interest and e - Exponential Growth - Polar coordinates - Parametric equations - Introduction to function inverses - Function inverse example - Basic complex analysis - Exponential form to find complex roots - Complex conjugates - Series sum example - Complex determinant example - 2003 AIME II problem 8 - Logarithmic scale - Vi and Sal explore how we think about scale - Vi and Sal talk about the mysteries of Benford's law - Benford's law explanation (sequel to mysteries of Benford's law

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Lecture 26: Polar coordinates 3

4.1 ( 11 )

Lecture Details

Converting between Cartesian and Polar functions

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Precalculus on Khan Academy You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesnt mean anything unless you have some knowledge of what calculus is. Lets keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus!

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