External link to Maths Teaching Guide: Algebraic Expressions

Maths Teaching Guide: Algebraic Expressions

6 Algebraic Expressions You know to write the terms, coefficients and factors of an algebraic expression. to classify an algebraic expression as monomial, binomial, trinomial. to identify like terms. to add and subtract algebraic expression. You will learn multiplication and division of given polynomials. the difference between an identity and an equation. algebraic identities and their applications. factorization of algebraic expression by regrouping , by […]

External link to Maths Teaching Guide: Geometrical Constructions

Maths Teaching Guide: Geometrical Constructions

12 Geometrical Constructions You know using various instruments of the geometry box-ruler, compass, protractor, divider, set square etc. construction of lines and angles. construction of perpendicular and perpendicular bisector to a line construction of angle bisectors. Construction of special angles like 15°,30°,45°,60°,75°,90°,105°,120°,135°,150°,175° You will learn construction of parallel lines using different techniques- paper folding, set square and using compass. to identify whether a triangle can […]

External link to Applications of Mathematics in Real Life

Applications of Mathematics in Real Life

Applications of Mathematics in Real Life Situations 1.0 Application of Matrices Matrix concepts can be applied in various fields such as: Quantum Mechanics 3D Games Animations Cryptography and Others. We shall analyze the last one which is Encryption in further details. Encryption is indeed an important measure of security when there are transactions of data between parties. Firstly, we shall make use of the AB […]

External link to History of Mathematics

History of Mathematics

180 BC Hypsicles: Number Theory Hypsicles was born in 190 B.C. in Alexandria Egypt. He was a mathematician and astronomer. He wrote the “Anaphorikos” or “On the Ascension of Stars,” where he divided the Zodiac into 360° and used arithmetic progression, “a sequence in which each number increases by the same amount over the previous one” (O’Connor & Robertson, 1999). He also wrote Book XIV […]

External link to Lagrange Multipliers in Mathematics

Lagrange Multipliers in Mathematics

Lagrange multipliers arise as a method for maximising (or minimising) a function that is subject to one or more constraints. It was invented by Lagrange as a method of solving problems, in particular a problem about the moons apparent motion relative to the earth. He wrote his work in a paper called Me’chanique analitique (1788) (Bussotti, 2003) This appendix will only sketch the technique and […]

External link to Euler’s Totient Theorem

Euler’s Totient Theorem

Summary    Euler Totient theorem is a generalized form of Fermat’s Little theory. As such, it solely depends on Fermat’s Little Theorem as indicated in Euler’s study in 1763 and, later in 1883, the theorem was named after him by J. J. Sylvester. According to Sylvester, the theorem is basically about the alteration in similarity. The term “Totient” was derived from “Quotient”, hence, the function […]

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