## September 2, 2017

### Junior Inter Maths 1B Study Plan and Important Topics and Tips for AP and Telangana Students - Part 1

MATHEMATICS is the key subject in two-year Intermediate course for MPC and MEC groups students. With a proper study and preparation plan, they can score good marks in the public examinations. "Practice makes mathematics student perfect" is the saying now-a-days in the present education system. At the outset, let us congratulate the tenth class students who have successfully completed school education and stepped into collegiate education. It commences with junior collegiate education in the form of two-year Intermediate course. Two-year Intermediate course offers groups such as MPC, BPC, MEC, CEC, HEC.

Also Read: Junior Inter Maths 1B Study Plan and Tips - Part 2

Preference is given to first three groups as students are aspiring to become engineers, doctors, charted accountants now-a-days. Their ambition will come true only if the studies are continued with a proper plan and perfect approach to examinations.

Syllabus Contents:

Board of Intermediate education prescribed syllabus in two-year mathematics subject in the form of mathematics-IA, IB, IIA, IIB. Text Books are also made available separately for both the years accordingly. The contents of
the first year syllabus can be found in the text books as follows:

Mathematics - I A

Algebra: 1. Functions 2. Mathematical Induction 3. Matrices

Vector Algebra: 4. Addition of Vectors 5. Product of Vectors

Trigonometry: 6. Trigonometric ratios upto transformations 7. Trigonometric equations 8. Inverse Trigonometric Functions 9. Hyperbolic Functions 10. Properties of Triangles

Mathematics - I B

Coordinate geometry:
1. Locus
2. Transformation of Axes
3. The straight line
4. Pair of Straight Lines
3-Dimensional Coordinate Geometry:
5. Three Dimensional coordinates
6. Direction cosines and Direction Ratios
7. The Plane

Calculus:
8. Limits and Continuity
9. Differentiation
10. Application of Derivatives.

Question Paper Pattern:

The pattern of each question paper is that it will contain sections A, B and C for a maximum of 75 marks with the time limit of 3 hours. Section-A will contain 10 questions each of 2 marks. Students will have to answer all the questions for 10 × 2 = 20 marks. Section-B will contain 7 questions each of 4 marks. Students will be asked to
answer any 5 questions, thus for 5 × 4 = 20 marks. Also, Section - C contains 7 questions, each of 7 marks. Students will have to attempt any 5 questions, this time for 5 × 7 = 35 marks. Thus, the question paper contains
in all 24 questions worth 97 marks. Students will attempt 20 questions worth 75 marks. In this context, it is reminded that 27 out of 75 is a pass mark. While 47 is a first class mark, 67 out of 75 stands for distinction marks in any paper. Same question paper will be supplied to MEC students also. But in their marks memo, marks scored will be calculated and posted for 50 marks in each of the two papers of mathematics.

Chapter Wise Analysis:

Let us now begin to analyse the subject chapter wise and paper wise so that students can have a better study plan to fare well in the examinations.

Algebra Unit:

In the Algebra unit, the first chapter is 'Functions'. Basics of functions have already been studied in school level. But here, functions are dealt with in detail. This chapter deals with definitions of different types of functions, their properties, theorems based on the properties etc. Knowing about the domain and range of real valued functions is of very much use in calculus of paper-1(B). Graphical representations describe the nature of functions clearly. Certain theorems related to composite functions are very important in the examination point of view.

Students are advised to learn deeply about modulus of a function, signum function, step function, implicit function, parametric function, function of a function so as to have a good understanding about differentiation in
calculus.

The second chapter is 'Mathematics Induction'. This chapter states about principle of mathematical Induction which is used in proving various theorems in algebra, trigonometry and calculus. Many important theoretical problems are tackled using this principle in algebra in the chapter "Matrices". Various mathematical statements and their proofs are verified by using induction principle. All the exercise problems in the text book are important and one question is expected in the examinations.

Matrices:

"Matrices" is a familiar chapter to the students from the school level study itself. Hence, students will consider this to be an easier chapter. However in inter level, the study of matrices is more theoretical and
analytical. The definitions and theorems on various types of matrices inculcate interest while reading. Special interest in the study of matrices lies in the study of 'determinants'.

The properties of determinants are useful in other branches of mathematics also. The coplanarity of vectors, the concurrency of straight lines etc., are well verified by using the properties of determinants. Students are advised to thoroughly solve all the problems related to determinants.