How can a deep understanding of variables enhance mathematical intuition?

Sep 27, 2011 ... Never divide both sides of the equation by a variable, even if you're doing it to try to solve a rational equation, because there's a very real danger that you ... This series covers differential calculus, integral calculus, and power series in one variable. It can be started at any point in the sequence for those with ... Jul 19, 2011 ... If you know how to manipulate equations, you only have to remember one equation that has all the variables of question in it; you can manipulate ... Additional information about Math 015SP, a course designed to yield a deeper understanding of single variable calculus 1 that must be taken concurrently with ... Course includes operations on integers, fractions, decimals and percents, and properties of real numbers. Introduction to variables, first degree equations and ... When we solved a system by substitution, we started with two equations and two variables and reduced it to one equation with one variable. This is what we'll do ... A variable is a quantity that can be changed and is not fixed. Variables are essential as they form a major algebra component. In mathematics, a variable (from Latin variabilis 'changeable') is a symbol, typically a letter, that refers to an unspecified mathematical object. ... One says ... Many students think all variables are letters that stand for numbers. Yet the values a variable takes are not always numbers, even in high school mathematics. MATH 125 Calculus with Analytic Geometry II (5) NSc. Second quarter in the calculus of functions of a single variable. Emphasizes integral calculus.