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Elementary Functions Definition (.pdf)
Sequences and Series Formulas (.pdf)
Basic Foundations of Mathematics (.pdf)
Complex Analysis example problems (.pdf)
Math 427 Table - Dr. A. Muleshkov

Algebra

Quadratic equation:

Finding remainder r of (n1 * n2 * n3 * ... * nk)/m: (cpp)
Finding GCD: (cpp)
Finding Extended GCD: (cpp)
Divisibility by 11

• x = (sum the odd digits) - (sum the even digits)
• if (x % 11) == 0 ==> disible by 11.
• i.e. 121: 2 - 2 = 0. 0 % 11 = 0. Thus 121 is divisible by 11.
• i.e. 20161603: (3 + 6 + 6 + 0) - (0 + 1 + 1 + 2) = 11 % 11 = 0.

Geometry

• radians = degrees * pi / 180
• pi = 2 * arccos(0)
• Law of Cosines:

• Law of Sines:

• Heron's formula: -- finding area of a triangle given three sides

Trigonometry

Created by Jia Tse on 8/06/06