- year Intermediate course provided their performance is outstanding

in the examinations. Dedicated hard work especially in the subject

Mathematics will enable them to reach their goals. For this, a study

plan and perfect

preparation are essential.

Like in First Year Intermediate examination, in Second Year

Intermediate examination also, there exist in the subject Mathematics

Paper-A and Paper - B. Each paper carries a maximum of 75 marks, with

27 marks for a pass, 47 marks for first class and 67 marks for

distinction. In order to achieve these results, a mathematics student

must have a study plan and a perfect approach towards the examination.

Before the study plan is discussed, let us have a glance at the

contents of the Mathematics syllabus in the second year course. The

syllabus in Paper - A is divided into 'Algebra', 'Statistics' and

'Probability' units. Algebra unit consists of the chapters such as

Complex Numbers, De Moivre's Theorem, Quadratic Expressions, Theory of

Equations, Permutations and Combinations, Binomial Theorem and Partial

Fractions.

The 'Statistics' unit contains the chapter called 'Measures of

Dispersion'. 'Probability' unit in it has the chapters 'Probability',

'Random variables and Probability Distributions'. 'Coordinate

Geometry' and 'Calculus' units belong to paper-B. In Coordinate

Geometry Unit, the chapters are Circles, System of Circles, Parabola,

Ellipse and Hyperbola. Calculus unit constitutes Integration, Definite

Integrals and Differential Equations as its chapters.

Paper - A

Now, let us turn to chapter-wise analysis of Paper-A. The first

chapter 'Complex numbers' involves definitions, geometrical

representations,

properties, polar forms and Argand Diagram. The grip over these things

leads to understand the concept of the complex numbers thoroughly.

This chapter is very much important with regard to preparation for IIT

- JEE examination. Application oriented problems may appear in such

competitive

examinations.

A complex number in polar form is widely used to define and derive De

Moivre's theorem. This theorem is used to obtain nth roots of a

complex number and hence, nth roots of unity. The previous chapter and

this chapter

carry a reasonable weightage of marks in any examination. These

chapters necessarily deserve attention for a good score in

Intermediate as well as other competitive examinations.

'Quadratic Equations' chapter mainly deals with not only quadratic

expressions but also quadratic equations in one variable. Knowing

about signs of quadratic expressions, change in signs and extremum

values is an

important phenomenon of this chapter. It deals with quadratic

inequations which play a good role in higher levels of study of

Mathematics. Knowledge of intervals is necessary to learn about

inequations. Theorems and graphical methods in this chapter clearly

explain the concept of the expressions,

equations and inequations. This chapter is easily understandable and

students can score good marks also.

Theory of Equations

This chapter introduces the relation between the roots and the

coefficients in an equation. Also, this chapter deals with the method

of solving an equation when two or more of its roots are connected by

certain relations.

Exercise 4(b) and solved problems in the Akademi text book can be

referred to in this context. Solving reciprocal equations is another

important phenomenon either in marks point of view or knowledge point

of view.

. Exercise 4(d) and solved problems can be attempted for the sake of

perfection.

Practising important solved problems and all the problems in the

exercises of the text book in this chapter will surely help students

for a respectable total of marks in the course.

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