1.1 Graph of a Quadratic equation The graph represened by is a parabola (You can read about it more by going to the link) for all real triplets . While the shape of the graph remains the same, the nature depends on the value of this triplet. Consider the following graph: Fig 1.1.1 This graph intersects… Continue reading
Tag: ISI
Week -2 | System of Equations – 1
1.1 Introduction In general, let us consider the expression , where is real constant for all and . This is called a polynomial in since it’s the variable, and the natural number , which is the highest degree of in the expression, is termed to be the degree of the polynomial. More specifically, the expression for … Continue reading
Week -2 | Complex Numbers – 4
Q-1) Show that Solution: Q-2) If , then find the value of the following series: Solution: Substituting in the equation we have We must remember that to represent a Complex Number in polar form, we take out the modulus from the algebraic form. On those lines we can say Thus the equation boils down… Continue reading
Week – 1 | Complex Numbers – 1
1.1 Introduction A Complex Number is represented by a combination of 2 real values – across a 2D plane. The 2 axes form the ‘Real’ and ‘Imaginary’ axes, that are used to uniquely identify a Complex Number on the Complex plane – also called the Argand Plane. Thus an algebraic representation of is given by… Continue reading