Thursday, December 15, 2016

CBSE 12th Maths Examination - 2017

This post is to list the updated information about 12th CBSE Board Examination. We know about fiasco over Mathematics question of CBSE last year and subsequent grace marks to the tune of 15. What a student can expect this year and how can he prepare within next 90 days.We know that discussion and exchange of notes always make academics better. First let me share some information about a CBSE circular on Maths paper of 2017:

"Mumbai: After tough mathematics exams for two years, the Central Board of Secondary Education (CBSE) has toned down the difficulty level for Class XII students. The new question paper design has capped the higher order thinking skills (HOTS) questions at 10% and introduced two-mark questions to bring relief to lakhs of students.


In a circular on the board's website, the CBSE said the changed question paper design would be applicable for the board examination scheduled to be held in 2017.


The HOTS questions will now be split into three two-mark questions and one four-mark question in the 100-mark paper. Teachers in the city said there had been no specification on the inclusion of HOTS questions but it varied between 10 and 20%. "It is good that the CBSE has now defined what to expect and students can prepare themselves well. Also, splitting the HOTS into three two-mark questions (see box) will mean that students can at least attempt some of them," said Jeeja K, teacher at R N Podar School, Santacruz. The CBSE categorized 20% of the paper as easy, 60% as average and 20% as difficult. With the introduction of short answers (two-mark questions), the total number of questions has increased from 26 to 29. Teachers feel it will help students score better. "When a student doesn't know how to answer a six-mark question, he or she loses out on all the six marks. With more questions with fewer marks, they are likely to lose fewer marks. Shorter questions take lesser time to solve," said Kalpana Dwivedi, principal, St Joseph High School, Panvel.


During the board examination this March, the CBSE had drawn a lot of flak over the difficulty level of the mathematics paper. Apart from social media outrage, the issue was also discussed in Parliament. Following this, the CBSE had assured to place the issue before a committee of subject experts and take remedial measures before evaluation. " Source: Times of India, 11th August, 2016.

Syllabus of 12th Maths CBSE ( Source: http://www.cbsesyllabus.in/class-12/mathematics-class-12-syllabus) 


Course Structure

UnitTopicMarks
I.Relations and Functions10
II.Algebra13
III.Calculus44
IV.Vectors and 3-D Geometry17
V.Linear Programming6
VI.Probability10
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.
syllabus 12 maths integrals
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.

The CBSE time table is expected in the first week of January and soon we will get to know the date sheet! 


Date sheet for class 12 exams, 2017:

Thursday, March 9, 2017
ENGLISH ELECTIVE –NCERT
ENGLISH ELECTIVE-CBSE(FUNCTIONAL ENGLISH)
ENGLISH CORE
Friday, March 10, 2017
DANCE –KATHAK
DANCE-BHARATNATYAM
DANCE –ODISSI
DANCE-KATHKALI
CREATIVE WRITING & TRANSLATION STUDIES
SINDHI OFFICE COMMUNICATION
INFORMATION STORAGE & RETRIVAL
INTEGRATED TRANSPORT OPERATION
FRONT OFFICE OPERATIONS
TRAVEL AGENCY & TOUR OPERATIONS BUSINESS (NSQF)
SALESMANSHIP-II
CAPITAL MARKET OPERATIONS
BANKING-II
Wednesday, March 15, 2017
PHYSICS
PERSIAN
SECRETARIAL PRACTICE & ACCOUNTING
AIR CONDITIONING & REFRIGERATION – III
OPTICS –II
RADIOGRAPHY-I GENERAL
ELECTRICAL MACHINE
CLINICAL BIO-CHEMISTRY (MLT)
CHILD HEALTH NURSING
GARMENT CONSTRUCTION –II
TRADITIONAL INDIAN TEXTILE
Thursday, March 16, 2017
BUSINESS STUDIES
BASIC HORTICULTURE-II
BEAUTY & HAIR -II
OPERATION & MAINTENANCE OF COMMUNICATION DEVICES
Saturday, March 18, 2017
URDU ELECTIVE
PUNJABI
TAMIL
MANIPURI
MALAYALAM
ASSAMESE
KANNADA
URDU CORE
Monday, March 20, 2017
MATHEMATICS
FIRST AID & EMERGENCY MEDICAL CARE
CLINICAL BIO-CHEMISTRY & MICROBIOLOGY-II
MICROBIOLOGY (MLT)
HEALTH CENTRE MANAGEMENT
OPTHALMIC TECHNIQUES-II
RADIOGRAPHY-II (SPECIAL INVESTIGATION IMAGING RADIOGRAPHY)
Tuesday, March 21, 2017
SHORTHAND ENGLISH
SHORTHAND HINDI
FASHION STUDIES
AGRICULTURE
ODIA
GERMAN
RUSSIAN
ENGINEERING SCIENCE
DATABASE MANAGEMENT APPLICATION (NSQF)
Thursday, March 23, 2017
HISTORY
RETAIL SERVICES-II(NSQF)
LOGISTICE OPERATION & SUPPLY CHAIN MANAGEMENT –II
BUSINESS OPERATION & ADMINISTRATION –II
LABORATORY MEDICINES (CLINICAL PATHOLOGY HEMATOLOGY & HISTOPATHOLOGY –II (MLT)
Friday, March 24, 2017
FOOD PRODUCTION III
INTRODUCTION TO HOSPITALITY MANAGEMENT(NSQF)
Saturday, March 25, 2017
CHEMISTRY APPLIED PHYSICS
FOOD & BEVERAGE COST & CONTROL
FLORICULTURE
COST ACCOUNTING
BIOLOGY OPTHALMIC-II
RADIATION PHYSICS
Monday, March 27, 2017
INFORMATICS PRACTICES
COMPUTER SCIENCE
ADVANCED FRONT OFFICE OPERATIONS
OLERICULTURE – II
INSURANCE –II
BASIC PATTERN DEVELOPMENT
Wednesday, March 29, 2017
ACCOUNTANCY
BAKERY-II
HOLISTIC HEALTH –II
SECURITY(NSQF)
Thursday, March 30, 2017
FOOD PRODUCTION IV
Friday, March 31, 2017
ENGINEERING GRAPHICS
HERITAGE CRAFTS
HUMAN RIGHTS & GENDER STUDIES
LIBRARY AND INFORMATION
SCIENCE
TIBETAN
JAPANESE
SPANISH
MECHANICAL ENGINEERING
MARKETING- II
TEXTILE CHEMICAL PROCESSING
WEB APPLICATION – II (NSQF)
Saturday, April 1, 2017
KNOWLEDGE TRADITIONS & PRACTICE OF INDIA
LEGAL STUDIES
GRAPHIC DESIGN
HEALTH EDUCATION, COMMUNICATION AND PUBLIC
RELATIONS & PUBLIC HEALTH
THE CREATIVE & COMMERCIAL PROCESS IN MASS MEDIA-II
PRINTED TEXTILE
TYPOGRAPHY & COMPUTER APPLICATION(ENG.)
Monday, April 3, 2017
POLITICAL SCIENCE
LABORATORY MEDICINE-II
RETAIL OPERATIONS-II(NSQF)
FINANCIAL ACCOUNTING-II
Wednesday, April 5, 2017
BIOLOGY
TAXATION-II
DERIVATIVE MARKET OPERATIONS
AIR CONDITIONING & REFRIGERATION-IV
Thursday, April 6, 2017
GEOGRAPHY
BIOTECHNOLOGY
LIBRARY SYSTEMS & RESOURCE MANAGEMENT
Monday, April 10, 2017
PHYSICAL EDUCATION
Wednesday, April 12, 2017
SOCIOLOGY
Monday, April 17, 2017
ECONOMICS
TROUBLE SHOOTING & MAINTENANCE OF ELECTRONIC EQUIPMENT
Tuesday, April, 18, 2017
HOME SCIENCE
Wednesday, April 19, 2017
PAINTING
GRAPHICS
SCULPTURE
APPLIED ARTS-COMMERCIAL ARTS
ELECTRICAL APPLIANCES
CONFECTIONERY
Thursday, April 20, 2017
THEATRE STUDIES
TANGKHUL
Saturday, April 22, 2017
HINDI ELECTIVE
GUJARATI
NEPALI
LIMBOO
LEPCHA
BHUTIA
HINDI CORE
Monday, April 24, 2017
PSYCHOLOGY
Tuesday, April 25, 2017
MUSIC KARANATAKA (VOCAL)
MUSIC KARANATAKA INSTRUMENTAL (MELODIC)
MUSIC HINDUSTANI VOCAL
MUSIC HINDUSTANI INSTRUMENTAL MELODIC
MUSIC HINDUSTANI INSTRUMENTAL PERCUSSION
Wednesday, April 26, 2017
MASS MEDIA STUDIES
Thursday, April 27, 2017
SANSKRIT ELECTIVE
BENGALI
TELUGU
MARATHI
ARABIC
FRENCH
TELUGU-TELANGANA
MIZO
SANSKRIT CORE
UNDERSTANDING THE EVOLUTION AND FORMS OF MASS MEDIA-II
AUTO ENGINEERING-II(NSQF)
Friday, April 28, 2017
NATIONAL CADET CORPS(NCC)
MULTIMEDIA & WEB TECHNOLOGY
AUTOSHOP REPAIR & PRACTICE-II NSQF
FABRIC STUDY
TYPOGRAPHY & COMPUTER APPLICATION(HINDI)
Saturday, April 29, 2017
PHILOSOPHY
ENTERPRENEURSHIP
OFFICE PROCEDURE & PRACTICES
BASIC CONCEPT OF HEALTH AND DISEASE AND MEDICAL TERMINOLOGY
FOOD SERVICE-II
GEOSPATIAL TECHNOLOGY
MIDWIFERY



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