12th Maths (Eng) 2021 Syllabus [Vision Papers PDF

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Std. 12 SCIENCE MATHS (050) (GSHSEB) Year 2020 - 21 DELETED PORTION & NON DELETED PORTION No. 1

Chapter Name Relations and Functions

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Inverse Trigonometric Functions Matrices

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Determinants

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Continuity and Differentiability

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Applications of Derivatives

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Non Deleted Portion Types of Relations. Types of Functions. Composition of Functions. Binary Operations. Basic Concepts. Properties of Inverse Trignometric Functions. Matrix. Types of Matrices. Operations on Matrices. Transpose of a Matrix. Symmetric and Skew Symmetric Matrices. Invertible Matrices.

Determinant. Properties of Determinants. Area of Triangle. Minors and Cofactors. Adjoint and Invers of a Matrix. Continuity. Exponential and Logarithmic Functions. Logarithmic Differentiation. Derivatives of Functions in Parametric Forms. Second Order Derivetive. Increasing and Decreasing Functions. Tangents and Normals. Maxima and Minima.

Deleted Portion 1. Inverse of a function. Example . 23,24,25,27,28. Ex. 1.3 Q.No. 4 to 12,14. Misc. Exercise Q.No.2,11. 1. Graphs of inverse trigonometric functions. 1. Existence of non-zero matrices whose product is the zero matrix. 2. Concept of elementary row and column operations. 3. proof of the uniqueness of inverse, if it exists. Ex. 15, 23 to 25. Exercise 3.4 Q. No. 1 to 17. 1. Consistency, inconsistency and number of solutions of system of linear equations by examples. Ex. 27 to 29, 33. Exercise 4.6 all Que. Misc Exercise Q.No.16. 1. Rolle’s and Lagrange's Mean Value Theorems (without proof) and their geometric interpretation. Ex. 42,43. Exercise 5.8 all Questions.

1. Use of derivatives in Approximation 2. Rate of Change of Quantities. Ex. 1 to 6, 21 to 25. 49,51. Exercise 6.1 & 6.4 all Ques. Misc. Ex. Q.No. 1,3,19.

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Integrals

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Applications of the Integrals

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Differential Equations

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11.

Vector Algebra

Three Dimensional Geometry

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Integration as an Inverse Process of Differentiation. Methods of Integration. Integrals of some Particular Functions. Integration by Partial Fractions. Integration by Parts. Fundamental Theorem of Calculus. Evaluation of Definite Integrals by Substitution. Some Properties of Definite Integrals. Area under Simple Curves.

Basic Concepts. General and Particular Solutions of a Differential Equation. Methods of Solving First Order,First Degree Differential Equations.

Some Basic Concepts. Types of Vectors. Addition of Vectors. Multiplication of a Vector by a Scalar. Product of two Vectors. Direction Cosines and Direction Ratios of a Line. Equation of a Line in Space. Shortest Distance between Two Lines. Plane. Coplanarity of Two Lines. Distance of a Point from a Plane.

1. Definite integrals as a limit of a sum. Ex. 25 (Page no 333), 26. Exercise 7.8 all Question. Misc. Ex. Q.No.40.

1. Area between any of the two above said curves. Ex. 6,7,8,9,10,13(2nd ),15. Exercise 8.2 all quations. Misc. Ex. Q.No. 2,6 to 19. 1. Formation of differential equation whose general solution is given. 2. Solutions of linear differential equation. Ex. 4 to 8, 19 to 23 25,28. Exercise 9.3 all Question. Ex. 9.6 all question. Misc. Ex. Q.No. 3,5,12,13,17. 1. Coplanarity of three vectors Ex. 27,28,29. Exercise 10.5 Q. No. 2 to 7. (page no 622) In Supplementary Material. 1. Angle between (i) two lines, (ii) two planes, (iii) a line And a plane Ex. 9,10,22,23, 25, 26. Ex. 11.2 Q. No.10,11. Ex. 11.3 Q. No. 12,13 Misc. Ex. Q.No. 3,5.

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Linear Programming

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Linear Programming Problem and its Mathematical Form

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Probability

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Conditional Probability. Multiplication Theorem on Probability. Independent Events.

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1. Different Types of L.P. problems. Practical Problems. 2. Unbounded Rigion Example no. 4,6,7,8,9,10,11. Ex. 12.1 Q.NO 4,6,9,10. Ex. 12.2 All Question. Misc.Ex. All Question. 1. Mean , Variance and Standard deviation of random variable. 2. Bernoulli Trials 3. Binomial distribution 4. Bayes Theorem. 5. Random Variables and its Probability Distribution. Example No. 15 to 32. Ex. 13.3 all Que. Ex. 13.4 all Que. Ex. 13.5 all Que. Misc. Exercise Q.No. 3,4,5,6,7,9 to 13,15,16.

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