Elementary Algebra Quiz

Algebra is the study of variables and the rules for manipulating these variables in formulas.

Elementary algebra deals with the manipulation of variables as if they were numbers and is essential in all applications of mathematics.

'Higher' or 'abstract' algebra is the study of algebraic structures that generalize the operations familiar from ordinary arithmetic.

<p>An example of an algebraic structure is a group, which is a set with a binary operation satisfying some basic properties.</p> Signup and view all the answers

<p>Linear algebra deals with linear equations and their representations using matrices and vector spaces.</p> Signup and view all the answers

<p>Behavior of real numbers, sequences, and series of real numbers, and real functions</p> Signup and view all the answers

<p>Convergence, limits, continuity, smoothness, differentiability, and integrability</p> Signup and view all the answers

<p>Real analysis studies real numbers, while complex analysis studies complex numbers and their functions</p> Signup and view all the answers

<p>An uncountable set (R), two binary operations denoted + and ⋅, and an order</p> Signup and view all the answers