#
CBSE 11th Maths Tuition

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- The broad objectives of teaching Mathematics at senior school stage intend to help the students:
- To acquire knowledge and critical understanding, particularly by way of motivation and visualization, of basic concepts, terms, principles, symbols and mastery of underlying processes and skills.
- To feel the flow of reasons while proving a result or solving a problem.
- To apply the knowledge and skills acquired to solve problems and wherever possible, by more than one method.
- To develop positive attitude to think, analyse and articulate logically.
- To develop interest in the subject by participating in related competitions.
- To acquaint students with different aspects of Mathematics used in daily life.
- To develop an interest in students to study Mathematics as a discipline.

- Assignments every week
- 200+ MCQs
- Courseware prepared by experts
- Assessments to give you the level of improvement

Class 11 is an essential year in school education. It's when basic arithmetic principles should be firmly established. Students will benefit from a firm grasp of class 11th maths since they will have momentum for the following year, allowing them to do well in the class 12th board exams. Finding a grade 11 mathematics teacher who can give all the attention and assistance students need to succeed in this essential discipline may be difficult for many pupils. However, with LITAA online programs, one-on-one sessions at a low cost are now a reality. This program has been designed by LITAA to meet the requirements of CBSE class 11th maths using NCERT solutions. You will begin preparing for important competitive examinations in Class 11 so that you can keep your career options open. The subject specialists and solutions of maths class 11th provide you with a thorough syllabus and study materials, which you may access anywhere without prior knowledge. The study material will be conveyed to you carefully. You can pick up the phone and call an expert to clear up any doubts you may have anytime.

## Course Features

## Course Structure

Units |
Topics |
Marks |

I | Sets and Functions | 29 |

II | Algebra | 37 |

III | Co-ordinate Geometry | 13 |

IV | Calculus | 6 |

V | Mathematical Reasoning | 3 |

VI | Statistics and Probability | 12 |

Total |
100 |

## Course Lessons

#### Chapter 1: Sets

- 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
- Difference of sets
- Complement of a set
- Properties of Complement Sets
- Practical Problems based on sets

#### Chapter 2: Relations & Functions

- Ordered pairs
- Cartesian product of sets

- Number of elements in the cartesian product of two finite sets
- Cartesian product of the sets of real (up to R × R)
- Definition of −
- Relation
- Pictorial diagrams
- Domain
- Co-domain
- Range of a relation

- Function as a special kind of relation from one set to another
- 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
- Greatest integer functions (with their graphs)

- Sum, difference, product and quotients of functions.

#### Chapter 3: Trigonometric Functions

- Positive and negative angles
- Measuring angles in radians and in degrees and conversion of one into other
- Definition of trigonometric functions with the help of unit circle
- Truth of the 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 application
- Identities related to sin 2x, cos2x, tan 2x, sin3x, cos3x and tan3x
- General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.

#### Chapter 1: Principle of Mathematical Induction

- 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 2: Complex Numbers and Quadratic Equations

- 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 and polar representation of complex numbers
- Statement of Fundamental Theorem of Algebra
- Solution of quadratic equations in the complex number system
- Square root of a complex number

#### Chapter 3: Linear Inequalities

- 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 solution of system of linear inequalities in two variables

#### Chapter 4: Permutations and Combinations

- Fundamental principle of counting
- Factorial n
- (n!) Permutations and combinations
- Derivation of formulae and their connections
- Simple applications.

#### Chapter 5: Binomial Theorem

- History
- Statement and proof of the binomial theorem for positive integral indices
- Pascal's triangle
- General and middle term in binomial expansion
- Simple applications

#### Chapter 6: Sequence and Series

- 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.
- Arithmetic and Geometric series infinite G.P. and its sum
- Geometric mean (G.M.)
- Relation between A.M. and G.M.

#### Chapter 1: Straight Lines

- Brief recall of two-dimensional geometries 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
- 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

#### Chapter 2: Conic Sections

- 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
- Hyperbola

- Standard equation of a circle

#### Chapter 3. Introduction to Three–dimensional Geometry

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

#### Chapter 1: Limits and Derivatives

- 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 a curve, derivative of sum, difference, product and quotient of functions
- The derivative of polynomial and trigonometric functions

#### Chapter 1: Mathematical Reasoning

- 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 between contradiction, converse and contrapositive

#### Chapter 1: Statistics

- Measures of dispersion −
- Range
- Mean deviation
- Variance
- Standard deviation of ungrouped/grouped data

- Analysis of frequency distributions with equal means but different variances.

#### Chapter 2: Probability

- 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 the theories of earlier classes

- Probability of −
- An event
- probability of 'not', 'and' and 'or' events