CBSE Class 12 Maths Syllabus 2020-21: Download PDF

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CBSE Class 12 Maths Syllabus 2020-21: Download PDF

Check the latest CBSE Class 12 Maths Syllabus 2020-21 and download it in PDF format. This syllabus has been recently released by the Central Board of Secondary Education (CBSE).

                                                CBSE Syllabus 2020-21 for Class 12 Maths









             Download CBSE 12th Maths Syllabus 2020-21 in PDF format. Link to download CBSE Syllabus for Class 12 Maths 2020-21 is given at the end of this article. Links to download NCERT Textbook, Exemplar and Lab Manual is also available at the end of this article.

CBSE Class 12 Maths Syllabus 2020-21:

Unit Name

Number of Periods

Marks

I. Relations and Functions

30

8

II. Algebra

50

10

III. Calculus

80

35

IV. Vectors & 3 - Dimensional Geometry

30

14

V. Linear Programming

20

05

VI. Probability

30

08

Total

240

80

Internal Assessment

 

20

                            PART B INTERNAL ASSESSMENT          (MM -20)
internal assessment of 20 marks , based on school board examinations will have following break -up:

Year -end assessment of activities


12 Marks

Assessment of project work /PPT


5   Marks

Viva-voice


3   Marks

Total


20





Year End Assessment of Activity Work
a) Each students will be asked to perform two given activities during the alotted time.
b) The assessment may be carried out by a team of two Mathematics Teachers, including the teacher who is taking practical classess. 
c) The break -up of 12 marks of assessment for a single activity may be as under ;

Statement of objectives of the activity


1 Marks

Material Required


1  Marks

Preparation for the activity


3   Marks

conduct of the Activity



3 marks


observation & analysis

3 marks 

  Result and    Conclusion                 1 marks


d) The marks for activities may be added first and the marks calculated out of 12.
e) Full record of activities may be kept by each students.
                               Download Latest CBSE Class 12 Maths Syllabus For 2020-21 in PDF

Unit-I: Relations and Functions

Relations and Functions 

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

Inverse Trigonometric Functions

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

Unit-II: Algebra

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.Non- commutativity 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).

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

Continuity and Differentiability

Continuity and differentiability, derivative of composite functions, chain rule, derivative 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.

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).

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.

http://www.jagranjosh.com/imported/images/E/Articles/cbseclass12mathematicssyllabus20162017.j

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

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).

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

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.

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

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 or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Unit-VI: Probability

Probability

Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean and variance of random variable. Binomial probability distribution.

Prescribed Books:

- Mathematics Part I - Textbook for Class XII, NCERT Publication

- Mathematics Part II - Textbook for Class XII, NCERT Publication

- Mathematics Exemplar Problem for Class XII, Published by NCERT

- Mathematics Lab Manual class XII, published by NCERT

For details about question paper design and internal assessment, download CBSE Class 12 Maths Syllabus 2020-21.

Download CBSE Class 12 Maths Syllabus 2020-21

NEXT STORY

DU JAT 2020 BBA/BBE/BMS Syllabus | Find out list of Important Topics to Prepare

By NIDHI GUPTA

MAY 5, 2020 18:17 IST
DU JAT BBA Syllabus
DU JAT BBA Syllabus

University of Delhi has a distinct Delhi University Joint Admission Test (DU JAT) entrance exam for admission to three major undergraduate-level management courses named Business Administration (BBA), Bachelor of Management Studies (BMS) and B.A. (Honours) in Economics/BBE. It is an online/computer-based test conducted by Nation Testing Agency (NTA) on behalf of DU for the aspirants willing to seek admission in any of the above mentioned courses.    

In this article, you will find out DUJAT exam syllabus, and important highlights of the DU JAT exam patter to understand the entrance exam structure. Carefully read detailed list of the topics expected in the exam this year:-

DU JAT 2020 Exam Pattern

  • DU JAT is an online/computer-based exam conducted in morning and afternoon session on the same day.
  • DU JAT is conducted for the duration of 120 minutes (2 hours), and carries 100 MCQ based questions with 4 options each.
  • There are 4 sections in the exam namely – Quantitative Aptitude, Verbal ability, Reasoning, and General Awareness.
  • Each question carries 4 marks and for choosing wrong option, there is a penalty of -1 mark per question.

DU JAT 2020 Syllabus – List of Important Topics

DU JAT entrance exam tests the aptitude of the candidates on their technical and managerial skills. Therefore, the questions are generally asked to test the calculation speed, time management skills, managerial skills to ensure that the candidate is apt for getting admission in the premier courses at DU. Find out the list of important topics expected from each section in the exam.  

DU JAT Quantitative Ability Syllabus

  • Numbers
  • Averages & Percentages,
  • Roots, Indices, Surds,
  • Simple & Compound Interest,
  • Profit & Loss,
  • Algebraic Formulae,
  • Linear & Quadratic Equations,
  • Ratio & Proportion,
  • Partnership,
  • Mixtures & Alligations,
  • Time, Speed & Distance,
  • Work Related Problems,
  • Pipes & Cisterns,
  • Geometry: Lines, Angles & Triangles, Polygons,
  • Circles & Mensuration,
  • Permutations & Combinations,
  • Probability,
  • Determinants,
  • Vectors,
  • Integration and Differentiation.

DU JAT Business & General Awareness Syllabus

  • Taglines,
  • Company/Business entities,
  • Days and Dates,
  • Government and Politics,
  • International Bodies/News,
  • Literature and Media,
  • Personalities,
  • Science & Technology,
  • Sports and Movies,
  • Arts & Music,
  • Indian History and World History,
  • Business and Economy,
  • Awards and Honors,
  • Brands,
  • Logos,
  • Trade/Business terminologies,
  • Personalities,
  • Books & authors

DU JAT General English Syllabus

  • Antonyms-Synonyms,
  • Foreign Words Noun & Pronoun Errors,
  • Subject-Verb Agreement,
  • Reading Comprehension,
  • Inference based passages Syllogisms,
  • Logical Consistency,
  • Deductive Reasoning
  • Idioms & Phrases,
  • Analogies,
  • Prepositions and Conjunctions,
  • Tenses, Modifiers & Parallelism

DU JAT Reasoning and Analytical Ability Syllabus

  • Groups & Conditionality,
  • Logical Series,
  • Selection Criteria,
  • Sequential O/P Tracing,
  • Analogies, Odd one out,
  • Logical Puzzles,
  • Calendar
  • Coding & Decoding,
  • Symbol Based Logic,
  • Family Tree & Directions,
  • Arrangements: Linear, Circular, Matrix Arrangements

For more information on DU JAT entrance exam and other BBA entrance exams, colleges and courses, keep visiting jagranjosh.com!

                                       CBSE Syllabus 2020-21 for Class 12 Maths


Location: Delhi, India

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