Math Notes

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  • Preface
  • Precalculus
    • 1 – Fundamentals
      • 1.1 The Real Numbers
      • 1.2 Algebra Basics
      • 1.3 Equations & Inequalities
      • 1.4 Cartesian Coordinates
    • 2 - Intro to Functions
    • 3 – Algebraic Functions
    • 4 – Exponential & Logarithmic Functions
    • 5 – Trigonometry and Trigonometric Functions
    • 6 – Last Things
  • Calculus
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  • (3) Alan Cooper’s answer to Question: A bar of length ℓ is broken into three pieces at two random spots. What is the probability that the length of at least one piece is less than ℓ/20? Can anyone hlp me? Thks a lot – Quora
  • (3) Alan Cooper’s answer to Alice and Bob flip a biased coin, best [math]n[/math] out of [math]2n-1[/math] win. If the probability of Alice winning a flip is [math]p[/math], what is her chance of winning the series? – Quora
  • (3) Alan Cooper’s answer to How do I find the period of [math]e^{ix}[/math] without using trigonometry? – Quora
  • Awareness of Number
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