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In college mathematics exercises often depend on functions of a real variable or application of theorems. The standard exercises of calculus involve finding derivatives and integrals of specified functions. Usually instructors prepare students with worked examples: the exercise is stated, then a model answer is provided. Often several worked ...
Some equations are true for all values of the involved variables (such as + = +); such equations are called identities. Conditional equations are true for only some values of the involved variables, e.g. x 2 − 1 = 8 {\displaystyle x^{2}-1=8} is true only for x = 3 {\displaystyle x=3} and x = − 3 {\displaystyle x=-3} .
Pre-algebra is a common name for a course taught in middle school mathematics in the United States, usually taught in the 6th, 7th, 8th, or 9th grade. [1] The main objective of it is to prepare students for the study of algebra. Usually, Algebra I is taught in the 8th or 9th grade. [2]
Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
When there is only one variable, polynomial equations have the form P(x) = 0, where P is a polynomial, and linear equations have the form ax + b = 0, where a and b are parameters. To solve equations from either family, one uses algorithmic or geometric techniques that originate from linear algebra or mathematical analysis.
Sisters Helena and Barbara Stefaniak had their worlds turned upside down after the start of World War II. The sisters, who were living in Poland, were separated and put into work camps as teens ...
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