Books for CBSE Class 12 Maths Preparation

Books For CBSE Class 12 Maths Preparation:-

Since the level of Maths paper of 2015 was quite unexpected for the students, those preparing for the exam in the coming year need to practice hard and make all their concepts strong for securing a good percentage in class 12th.Remember  the key to score high in maths exam is to PRACTICE...And by practice I mean REGULAR PRACTICE..!!!
Then comes the big question -"From where to practice??"
 The most important book for CBSE Maths Preparation is undoubtedly your NCERT textbook.You would have surely heard from your school teachers as well that a number of questions in the exam are direct from your NCERT... 
So the first step towards a good percentage of marks in Maths is to solve your NCERT. Practice NCERT questions of exercises along with the examples for a strong grasp of the topic..
A large number of books are flooded in the market that can be used by the students for practicing extra questions.Please remember these books are for extra practice and need to be done only if you have done your NCERT.Well then some of the good ones are-
1. R.D. Sharma (Vol. 1&2)
2. Together With Series
But wait is this enough for your EXAM..........NO!
Even if you don't get time after NCERT  for the above books so don't panic,you have done NCERT well which is the basic necessity.Now you have to follow the most important step i.e. to...
Practice Previous Years Papers.Don't forget some questions in CBSE exams always repeat from the Previous Years so never forget to practice them.You may buy a book of Chapter-wise Previous Year Solved Papers book for practicing them...

CBSE Class 12 Maths Syllabus & Chapterwise weightage

CBSE Class 12 Maths Syllabus & Chapter-wise weightage:-

Unit	Topic	Marks
I.	Relations and Functions	10
II.	Algebra	13
III.	Calculus	44
IV.	Vectors and 3-D Geometry	17
V.	Linear Programming	6
VI.	Probability	10
	Total	100

Unit I: Relations and Functions

1. Relations and Functions

Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations.

2. Inverse Trigonometric Functions

Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.

Unit II: Algebra

1. Matrices

Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Noncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2).Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

2. Determinants

Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

Unit III: Calculus

1. Continuity and Differentiability

Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions.

Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives. Rolle's and Lagrange's Mean Value Theorems (without proof) and their geometric interpretation.

2. Applications of Derivatives

Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).

3. Integrals

Integration as inverse process of differentiation.Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.

Definite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof). Basic propertiesof definite integrals and evaluation of definite integrals.

4. Applications of the Integrals

Applications in finding the area under simple curves, especially lines, circles/parabolas/ellipses (in standard form only), Area between any of the two above said curves (the region should be clearly identifiable).

5. Differential Equations

Definition, order and degree, general and particular solutions of a differential equation.Formation of differential equation whose general solution is given.Solution of differential equations by method of separation of variables solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:

dy/dx + py = q, where p and q are functions of x or constants.

dx/dy + px = q, where p and q are functions of y or constants.

Unit IV: Vectors and Three-Dimensional Geometry

1. Vectors

Vectors and scalars, magnitude and direction of a vector.Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors, scalar triple product of vectors.

2. Three - dimensional Geometry

Direction cosines and direction ratios of a line joining two points.Cartesian equation and vector equation of a line, coplanar and skew lines, shortest distance between two lines.Cartesian and vector equation of a plane.Angle between (i) two lines, (ii) two planes, (iii) a line and a plane.Distance of a point from a plane.

Unit V: Linear Programming

1. Linear Programming

Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded and unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Unit VI: Probability

1. Probability

Conditional probability, multiplication theorem on probability. independent events, total probability, Baye's theorem, Random variable and its probability distribution, mean and variance of random variable. Repeated independent (Bernoulli) trials and Binomial distribution.

                                                                   

CBSE Class 10 Maths Exam Preparation Tips :-

CBSE Class 10 Maths Exam Preparation Tips :-



IMPORTANCE OF CLASS 10 EXAMS:
Class 10th exams play a very important role in a student's life.The performance of students in class 10th determine their career paths as the marks in class 10th are used for determining whether they get the stream of their choice or not, so it becomes important for students desirous of a career in engineering, medical field etc to obtain maximum marks in 10th. 


HOW TO PREPARE FOR MATHS EXAM??

Scoring high in class 10th!!!
For securing a high percentage of marks in class 10th one needs to prepare with full dedication and proper time management.
Maths being one of the highest scoring subject is still considered to be tough by many.So here I will give you some tips and strategies to prepare for your exam.

1. Go through all the concepts and  solve questions for proper understanding.
2. Make a list of all the important formulae and theorems so that you have complete command over the basics.
3. Practice,Practice and Practice.....regularly!!! Scoring in maths is possible only if you practice various topics properly.
4. Focus on your NCERT textbook since a majority of questions are based on the type of questions given in NCERT.So do solve the questions along with examples.
5.Manage your time properly.TIME MANAGEMENT is very important for being successful in exams.  

6.Complete the full syllabus on time so that you are left with ample time for revision and practice.
7.The most important  thing after completing syllabus from NCERT is to go through Previous Year Papers and analyse your performance. Work more on your weak areas and strengthen them along with working upon your strong areas.You also get a  feel of the real exam on going through previous year papers.
8.Find out the pattern of questions and questions/topics repeating several times since you may also get the same question/ question of same topic in your paper.So it will be very beneficial in your preparation... 

CBSE Class 12 Maths Exam Preparation Tips

CBSE Class 12 Maths Exam 2016 Preparation Tips :- How to prepare??

Though Maths being one of the highest scoring subjects in CBSE board exams, still a number of students find it difficult to prepare for it.As said by the students -"the Maths exam of CBSE 2015 was quite tougher than expected" , so the students preparing for the exam this year need to prepare accordingly.

Maths preparation for board exam may not be easy though but can be done extremely well if  you follow certain strategies.

1.The most important part of your preparation is covering the full syllabus from your NCERT.
         
                 
 Going through several past year papers it is clear that a minimum of 60% of the questions asked in the exam are based on direct NCERT  questions.

2.Time management is the biggest task for all the students wishing to score maximum in their exams. So do plan your syllabus by completing topics regularly.
                                      

 3. Avoid any kind of stress / fear of exam.Be positive and just give it a shot!!                                                                                 

                                              

4. Always remember..."Practice is the key to score in Maths!!"All those students wishing admission in top colleges aim for getting atleast 95+ in the maths exam which needs regular practice and smart study.
                                 

5. Never ever try to study maths by reading.Always practice.You can never learn by reading maths!!! Some students try doing maths by reading but later on they even fail to solve the very same question.
                                

 6. Practicing  past year question papers also proves to be beneficial after covering full syllabus as you find out your weak points along with a real feel of the exam.