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Class 11 Mathematics

Class 11 Mathematics: full syllabus tuition with regular tests (CBSE / UP Board).

12 महीनेअवधि 14Chapters72टॉपिक
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सिलेबस · पाठ्यक्रम

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01Sets 6 टॉपिक
  1. Sets and their representation
  2. Empty, finite, infinite and equal sets
  3. Subsets, power set and universal set
  4. Venn diagrams
  5. Union, intersection, difference and complement
  6. Practical problems on union and intersection
02Relations and Functions 5 टॉपिक
  1. Ordered pairs and Cartesian product
  2. Relations: domain, codomain and range
  3. Functions and their types
  4. Graphs of standard real functions
  5. Algebra of real functions
03Trigonometric Functions 6 टॉपिक
  1. Angles in degree and radian measure
  2. Trigonometric functions of any angle
  3. Signs and graphs of trigonometric functions
  4. Trigonometric functions of sum and difference of angles
  5. Multiple and sub-multiple angle formulae
  6. Identities and transformation formulae
04Complex Numbers and Quadratic Equations 5 टॉपिक
  1. Complex numbers and the iota (i)
  2. Algebra of complex numbers
  3. Modulus and conjugate
  4. Argand plane and polar representation
  5. Quadratic equations with complex roots
05Linear Inequalities 4 टॉपिक
  1. Inequalities and their properties
  2. Algebraic solution of linear inequalities in one variable
  3. Representation on the number line
  4. Word problems on linear inequalities
06Permutations and Combinations 5 टॉपिक
  1. Fundamental principle of counting
  2. Factorial notation
  3. Permutations (with and without repetition)
  4. Combinations
  5. Problems on selection and arrangement
07Binomial Theorem 5 टॉपिक
  1. Binomial theorem for positive integral index
  2. Pascal's triangle
  3. General term
  4. Middle term
  5. Term independent of x and coefficients
08Sequences and Series 5 टॉपिक
  1. Sequences and series
  2. Arithmetic progression (AP) and arithmetic mean
  3. Geometric progression (GP) and geometric mean
  4. Sum of n terms and infinite GP
  5. Relation between AM and GM
09Straight Lines 5 टॉपिक
  1. Slope of a line and angle between two lines
  2. Various forms of equation of a line
  3. General equation of a line
  4. Distance of a point from a line
  5. Distance between parallel lines
10Conic Sections 6 टॉपिक
  1. Sections of a cone
  2. Circle: standard and general equation
  3. Parabola
  4. Ellipse
  5. Hyperbola
  6. Focus, directrix, eccentricity and latus rectum
11Introduction to Three Dimensional Geometry 4 टॉपिक
  1. Coordinate axes and coordinate planes in 3-D
  2. Coordinates of a point in space and octants
  3. Distance between two points
  4. Problems on distance formula
12Limits and Derivatives 6 टॉपिक
  1. Intuitive idea of derivatives
  2. Limits and algebra of limits
  3. Limits of polynomial, rational and trigonometric functions
  4. Derivative from first principle
  5. Algebra of derivatives (sum, product, quotient rules)
  6. Derivatives of polynomial and trigonometric functions
13Statistics 5 टॉपिक
  1. Measures of dispersion and range
  2. Mean deviation about mean and median
  3. Variance and standard deviation
  4. Variance of grouped data
  5. Analysis of frequency distributions and coefficient of variation
14Probability 5 टॉपिक
  1. Random experiments, outcomes and sample space
  2. Events: types and algebra of events
  3. Axiomatic approach to probability
  4. Probability of 'not', 'and' and 'or' events
  5. Problems on coins, dice and cards

परिचय

आप यह कर पाएँगे

  • Work with sets, relations, functions and their graphs
  • Use trigonometric functions, identities and solve trigonometric problems
  • Solve quadratic equations with complex roots and linear inequalities
  • Apply permutations, combinations, binomial theorem, AP and GP to problems
  • Find equations of straight lines and conic sections, and distances in 3-D
  • Evaluate limits and derivatives of standard functions
  • Calculate mean deviation, variance, standard deviation and probability of events

यह किसके लिए है

  • Class 11 PCM / PCMB students of CBSE and UP Board
  • Students preparing early for JEE Main and other engineering entrance tests
  • Commerce or humanities students who take Mathematics as an elective

आपको क्या चाहिए

  • Passed Class 10 with Mathematics (Standard preferred)
  • NCERT Class 11 Mathematics textbook, NCERT Exemplar and a practice notebook

सवाल

Which syllabus is followed?

The current NCERT rationalised Class 11 Mathematics syllabus (14 chapters), followed by CBSE and UP Board.

Is NCERT Exemplar also covered?

Yes. After NCERT exercises we solve selected Exemplar and previous board questions for every chapter.

Does this help for JEE?

Yes. Class 11 algebra, coordinate geometry and calculus basics are core JEE topics; we give extra foundation practice.

How often are tests held?

A short test after every chapter, a monthly cumulative test and a full-syllabus final exam.

Download the syllabus (PDF)

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