Data from an experiment may result in a graph indicating exponential growth. This implies the formula of this growth is \(y = k{x^n}\), where \(k\) and \(n\) are constants. Using logarithms, we can ...

In the Introduction to the Derivative video we introduce the notion of the derivative of a function and explain how the derivative captures the instantaneous rate of change of a function. In the ...

The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership is a mixture of school teachers, college and university lecturers, ...

The purpose of all of the developmental mathematics courses is to support student success academically and beyond by advancing critical thinking and reasoning skills. Specifically in Algebra II, as a ...

Inspired by Rearick's work on logarithm and exponential functions of arithmetic functions, we introduce two new operators, LOG and EXP. The LOG operates on generalized Fibonacci polynomials giving ...

It's a common joke that Python makes a great calculator in its interactive mode. You can make it an even better one with the built-in math module, which contains a lot of the same math functions you ...

THIS book, originally intended to be Part 4 of the author's “New Algebra for Schools”, deals comprehensively with the Higher Certificate requirements. The topics discussed include permutations, ...

\({\log _a}a = 1\) (since \({a^1} = a\)) so \({\log _7}7 = 1\) \({\log _a}1 = 0\) (since \({a^0} = 1\)) so \({\log _{20}}1 = 0\) \({\log _a}p + {\log _a}q = {\log _a ...

The purpose of all of the developmental mathematics courses is to support student success academically and beyond by advancing critical thinking and reasoning skills. Specifically in Algebra II, as a ...