The UPMSP has announced a 30% reduction in the syllabus for class 11th and class 12th. However, you should remember that the change in the syllabus is only for the academic year 2021-22. The change is made to enable students to cope up with the new learning challenges. The new UP Board Class 11 Maths Syllabus with the deleted topics given by UPMSP is available here on CA Wizard. Many changes have been made in almost all the chapters. So you need to go through the revised syllabus chapter-wise and topic-wise.

This article offers the complete Class 11 Maths Syllabus of UP Board for you in English and Hindi medium. Since the marking scheme is also revised, we shared the details on it as well.

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## New Marking Scheme as per UP Board Class 11 Maths Syllabus (in English)

UP Board has released the new marking scheme after the UP Board Class 11 Maths Syllabus was reduced by 30%. You should make a note of the new marking scheme for Maths.

The marking scheme for the Class 11 Maths syllabus is given below. There is no chapter-wise marking scheme provided by the board. For example: if you are preparing unit 1 for 29 marks, you should consider all the three chapters: Sets, Functions, Trigonometric Functions.

Unit Name of Unit Marks
I Sets and functions 29
II Algebra 37
III Co-ordinate Geometry 13
IV Calculus 9
VI Statistics and Probability 12
TOTAL 100

## Detailed UP Board Class 11 Maths Syllabus for 2021-22 (in English)

Here is the new Maths Syllabus for UP Board class 11 students. The topics you need to study for the 2021-22 Maths annual exam are mentioned under ’Topics covered in Syllabus’ while the topics you should leave are mentioned under the ‘Deleted Topics.’ Check the topics for each chapter and mark them in your books or bookmark this page.

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### Unit I Sets and Functions

#### Chapter 1: Sets

Topics covered in Syllabus

Sets and their representations, Empty set, Finite and Infinite sets, Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations), Power set, Universal set, Venn diagrams, Union and Intersection of sets.

Deleted Topics

Difference of sets, complement of a set.

#### Chapter 2: Relations and Functions

Topics covered in Syllabus

Ordered pairs, Cartesian product of sets, Number of elements in the Cartesian product of two finite sets.

Cartesian product of the set of real numbers with itself (upto R x R only), Definition of relation, pictorial diagrams, domain, co-domain and range of a relation.

Function as a special type of relation, Pictorial representation of a function, domain, co-domain and range of a function.

Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs.

Deleted Topics

Cartesian product of the set of reals with itself (R X R X R), Sum, Difference, Product and Quotients of functions.

#### Chapter 3: Trigonometric Functions

Topics covered in Syllabus

Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple applications. Deducing identities like the following:

Deleted Topics

General solution of trigonometric equations of the type

Sin y = Sin a, Cos y = Cos a and Tan y = Tan a

### Unit II Algebra

#### Chapter 4: Principle of Mathematical Induction

Deleted Topics

Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers.The principle of mathematical induction and simple applications.

#### Chapter 5: Complex Numbers and Quadratic Equations

Topics covered in Syllabus

Need for complex numbers, especially √−1, to be motivated by inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system.

Deleted Topics

Polar representation of complex numbers.

#### Chapter 6: Linear Inequalities

Topics covered in Syllabus

Linear inequalities, algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical method of finding a solution of system of linear inequalities in two variables.

#### Chapter 7: Permutations and Combinations

Topics covered in Syllabus

Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation for Formulae for nPr and nCr and their connections, simple applications.

#### Chapter 8: Binomial theorem

Deleted Topics

Historical perspective, statement and proof of the binomial theorem for positive integral indices.Pascal’s triangle, General and middle term in binomial expansion, simple applications.

#### Chapter 9: Sequence and Series

Topics covered in Syllabus

Sequence and Series. Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M.

Deleted Topics

Formulae for the following special sums:

### Unit III Coordinate Geometry

#### Chapter 10: Straight Lines

Topics covered in Syllabus

Brief recall of two dimensional geometry from earlier classes. Shifting of origin. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point -slope form, slope-intercept form, two-point form, intercept form and normal form. General equation of a line. Equation of family of lines passing through the point of intersection of two lines. Distance of a point from a line.

Deleted Topics

Distance between two parallel lines.

#### Chapter 11: Conic Sections

Topics covered in Syllabus

Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

#### Chapter 12: Introductory to Three-dimensional Geometry

Topics covered in Syllabus

Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.

### Unit IV Calculus

#### Chapter 13: Limits and Derivatives

Topics covered in Syllabus

Derivative introduced as rate of change both as that of distance function and geometrically. Intuitive idea of limit, Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions .Definition of derivative relate it to slope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

### Unit V Mathematical Reasoning

#### Chapter 14: Mathematical Reasoning

Deleted Topics

Mathematically acceptable statements connecting words/phrases- consolidating the understanding of ‘’ if and only if (necessary and sufficient) condition’’. “implies”, “and/or’’, “implied by’’, “ and’’, “or’’, “there exists’’ and their use through variety of examples related to real life and mathematics. Validating the statements involving the connecting words, difference among contradiction converse and contrapositive.

### Unit VI Statistics and Probability

#### Chapter 15: Statistics

Topics covered in Syllabus

Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data.

Deleted Topics

Analysis of frequency distributions with equal means but different variances.

#### Chapter 16: Probability

Topics covered in Syllabus

Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

## New Marking Scheme as per UP Board Class 11 Maths Syllabus (in Hindi)

The new marking scheme after the deletion in UP Board Class 11 Maths Syllabus is also available in the Hindi medium.

## UP Board Class 11 Maths Syllabus for 2021-22 (in Hindi)

The class 11 Maths syllabus of UP Board is available for download in the Hindi medium as well. You can download it by clicking on the link given below. The 30% deleted topics and the 70% syllabus coming in exams are mentioned separately in the PDF for your ease.

## How to prepare for the UP Board Class 11 Maths Exam?

As the UP Board Class 11 Maths Syllabus is reduced, you should first cross out the deleted topics from your books and notebooks. It is important, so you know which topics will come in the exam. You should also refer to the new marking scheme and exam pattern. Make notes of formulae or highlight them in your books. Also, highlight the difficult questions and the important point in its solution. Look over all the highlighted points while doing revision. Solve a few sample papers and previous year papers for practice.

Q1. How much syllabus has been reduced for the UP Board Class 11 students in Maths subject?

Ans. UPMSP has deleted 30% of topics from the Class 11 Maths Syllabus of UP Board for 2021-22.

Q2. Which topics are removed from the UP Board Class 11 Maths Syllabus?

Ans. Chapters 4 and 14 are completely deleted from the Maths syllabus. In other chapters, some of the topics are removed.

Q3. Which book should I use for studying the class 11 Maths Syllabus of UP Board?

Ans. UP Board recommends NCERT books for class 11 students.