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Handbook

Every definition, theorem and strategy of The Book of Math Formulas and Strategies by Omega Learn, in one searchable reference. Each card links to the lesson that teaches it.

    Chapters

    Chapter 1

    Algebra

    Means, sequences and series, rates, systems, polynomials and Vieta, factorizations, floor functions and inequalities: every algebra formula in one place.

    89 entries

    Chapter 2

    Number Theory

    Primes and divisors, GCD and LCM, modular arithmetic with Euler, Fermat and the Chinese Remainder Theorem, Diophantine equations, bases and p-adic valuation.

    44 entries

    Chapter 3

    Counting and Probability

    Factorials, permutations and combinations, counting strategies, stars and bars, binomial identities, probability, expected value and inclusion-exclusion.

    54 entries

    Chapter 4

    Geometry

    Triangles, quadrilaterals, circles and power of a point, polygons, cyclic quadrilaterals, 3-D solids, the advanced triangle formulas and coordinate geometry.

    120 entries

    Chapter 5

    Trigonometry

    Trig identities and special values, the unit circle, the laws of sines and cosines, double, half and sum angle formulas, and the graphs of the trig functions.

    18 entries

    Chapter 6

    Logarithms

    What a logarithm is and the formulas that make it work: product, quotient and power rules and the change of base.

    8 entries

    Chapter 7

    Complex Numbers

    The algebra of i, conjugates, the complex plane, polar form and De Moivre, roots of unity, and complex numbers as a tool for trigonometry.

    36 entries

    Chapter 8

    Additional Techniques and Strategies

    Meta-solving with the answer choices, avoiding silly mistakes, and strategies that maximize your score on test day.

    30 entries