**Class 11 Mathematics NCERT Syllabus for JAC Board**

Hi Students! If you are in Intermediate First Year and searching for **JAC Board Class 11 Mathematics Syllabus 2020**, then you are at the right place. You will get here complete details about **Class 11 Mathematics NCERT Syllabus for Jharkhand Board**.

**Mathematics Syllabus for Intermediate First Year** consists of 16 Chapters. We will discuss about all the Units along with the topics covered in each chapter. Also, I have provided Summary of some chapters at the end, so read this article completely.

If you need, you can **Download PDF of JAC Board Class 11 Mathematics Syllabus** by clicking the download button given on the last section of this article. Now, let’s jump into the syllabus.

**Jharkhand Board Class 11 Mathematics Syllabus**

First of all, let’s know about the all 16 chapters and then we will discuss about their topics and sub-topics which are to be studied in **Intermediate First Year Class 11 Maths NCERT Syllabus**.

- Sets
- Relations and Functions
- Trigonometric Functions
- Principle of Mathematical Induction
- Complex Numbers and Quadratic Equations
- Linear Inequalities
- Permutations and Combinations
- Binomial Theorem
- Sequences and Series
- Straight Lines
- Conic Sections
- Introduction to Three Dimensional Geometry
- Limits and Derivatives
- Mathematical Reasoning
- Statistics
- Probability

**Chapter 1: Sets**

- Sets and their Representations
- The Empty Set
- Finite and Infinite Sets
- Equal Sets
- Subsets
- Power Set
- Universal Set
- Venn Diagrams
- Operations on Sets
- Complement of a Set
- Practical Problems on Union and Intersection of Two Sets

**Chapter 2: Relations and Functions**

- Cartesian Product of Sets
- Relations
- Functions

**Chapter 3: Trigonometric Functions**

- Angles
- Trigonometric Functions of Sum and Difference of Two Angles
- Trigonometric Equations

**Chapter 4: Principle of Mathematical Induction**

- Motivation
- The Principle of Mathematical Induction

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

- Complex Numbers
- Algebra of Complex Numbers
- The Modulus and the Conjugate of a Complex Number
- Argand Plane and Polar Representation
- Quadratic Equations

**Chapter 6: Linear Inequalities**

- Inequalities
- Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation
- Graphical Solution of Linear Inequalities in Two Variables
- Solution of System of Linear Inequalities in Two Variables

**Chapter 7: Permutations and Combinations**

- Fundamental Principle of Counting
- Permutations
- Combinations

**Chapter 8: Binomial Theorem**

- Binomial Theorem for Positive Integral Indices
- General and Middle Terms

**Chapter 9: Sequences and Series**

- Sequences
- Series
- Arithmetic Progression (A.P.)
- Geometric Progression (G.P.)
- Relationship Between A.M. and G.M.
- Sum to
*n*terms of Special Series

**Chapter 10: Straight Lines**

- Slope of a Line
- Various Forms of the Equation of a Line
- General Equation of a Line
- Distance of a Point From a Line

**Chapter 11: Conic Sections**

- Sections of a Cone
- Circle
- Parabola
- Ellipse
- Hyperbola

**Chapter 12: Introduction to Three Dimensional Geometry**

- Coordinate Axes and Coordinate Planes in Three Dimensional Space
- Coordinates of a Point in Space
- Distance between Two Points
- Section Formula

**Chapter 13: Limits and Derivatives**

- Intuitive Idea of Derivatives
- Limits
- Limits of Trigonometric Functions
- Derivatives

**Chapter 14: Mathematical Reasoning**

- Statements
- New Statements from Old
- Special Words/Phrases
- Implications
- Validating Statements

**Chapter 15: Statistics**

- Measures of Dispersion
- Range
- Mean Deviation
- Variance and Standard Deviation
- Analysis of Frequency Distributions

**Chapter 16: Probability**

- Random Experiments
- Event
- Axiomatic Approach to Probability

So, these are the all chapter that are to be studied in **JAC Board Class 11 Mathematics Syllabus 2020**. For your convenience, I am also providing you Summary of Two Chapters. If you need summary for all chapters, you can go to JAC Board Study Material section.

**SETS Summary: Class 11 Mathematics Syllabus**

The very first chapter (Sets) deals with some basic definitions and operations involving sets. These are summarized below:

- A set is a well-defined collection of objects.
**Empty Set**: A set which does not contain any element.- A set which consists of a definite number of elements is called finite set, otherwise, the set is called infinite set.
- Two sets A and B are said to be equal if they have exactly the same elements.
- A Set A is said to be subset of a set B, if every element of A is also an element of B. Intervals are subsets of R.
- A power set of a set A is collection of all subsets of A. It is denoted by P(A).
- Union of two sets A and B is the set of all those elements which are either in A or in B.
- The intersection of two sets A and B is the set of all elements which are common. The difference of two sets A and B in this order is the set of elements which belong to A but not to B.
- Complement of a subset A of universal set U is the set of all elements of U which are not the elements of A.
- For any two sets A and B, (A ∪ B)′ = A′ ∩ B′ and ( A ∩ B )′ = A′ ∪ B′
- If A and B are finite sets such that A ∩ B = φ, then

n (A ∪ B) = n (A) + n (B).

If A ∩ B ≠ φ, then n (A ∪ B) = n (A) + n (B) – n (A ∩ B)

**Relations & Functions: Class 11 Mathematics Syllabus**

In this Chapter, we studied about relations and functions. The main features of this Chapter are as follows:

**Ordered pair**: A pair of elements grouped together in a particular order.- Cartesian product A × B of two sets A and B is given by

A × B = {(a, b): a ∈ A, b ∈ B}

In particular R × R = {(x, y): x, y ∈ R}

and R × R × R = (x, y, z): x, y, z ∈ R} ® - If (a, b) = (x, y), then a = x and b = y.
- If n(A) = p and n(B) = q, then n(A × B) = pq.
- A × φ = φ
- In general, A × B ≠ B × A.

**Class 11 Maths Syllabus: Relations and Functions**

**Relation:**A relation R from a set A to a set B is a subset of the cartesian product A × B obtained by describing a relationship between the first element x and the second element y of the ordered pairs in A × B.- The
**image**of an element x under a relation R is given by y, where (x, y) ∈ R, - The
**domain**of R is the set of all first elements of the ordered pairs in a relation R. - The range of the relation R is the set of all second elements of the ordered pairs in a relation R.
**Function:**A function f from a set A to a set B is a specific type of relation for which every element x of set A has one and only one image y in set B. We write f: A→B, where f(x) = y.- A is the domain and B is the codomain of
*f*. - The range of the function is the set of images.
- A real function has the set of real numbers or one of its subsets both as its domain and as its range.
- Algebra of functions For functions f : X → R and g : X → R, we have

(f + g) (x) = f (x) + g(x), x ∈ X

(f – g) (x) = f (x) – g(x), x ∈ X

(f.g) (x) = f (x) .g (x), x ∈ X

(kf) (x) = k ( f (x) ), x ∈ X, where k is a real number.

**Conclusion: Jharkhand Board Class 11 Mathematics Syllabus**

So friends! This is the Complete NCERT Syllabus for Intermediate First Year Class 11 Maths. I hope this article might have helped you in your search for **JAC Board** **Class 11 Mathematics Syllabus 2020.**

If you have any query/doubt regarding **Jharkhand Board NCERT ****Class 11 Mathematics Syllabus**, freel free to Comment it down. Also, if you want to get all the updates of Jharkhand Academic Council, then you can follow us; as JACBoard.com is the #1 Educational Portal for Jharkhand Board Exam Results, Syllabus & Study Material.

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