September 8, 2015

Senior Inter Maths Study Plan for Paper A - Important Chapters

Students of MPC and MEC groups will face bright opportunities after 2
- 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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