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Mathematics- All classes

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  • OVERVIEW:

     

    A complete Coaching and Tuition of Mathematics for Class XI CBSE syllabus

     

    DURATION:

     

    INR 400 per hour

     

    OBJECTIVES:

     

    By the end of this program, participants should be able to:

    1. gain indepth knowledge of the chapters and the exercises covered in the syllabus
    2. use the concepts and the learnings in the real world situations for problem solving, basic calculations analytics and reasoning.
    3. enhance academic performance and score good.

     

    TARGET AUDIENCE:

     

           Class XI CBSE Board students

  • COURSE STRUCTURE:

     

    1. Sets - 5 hours

     

    Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations.

     

    2. Relations and functions - 7 hours

     

    Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.

     

    3. Trignometric functions - 10 hours

     

    Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Noncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

    Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

     

    4. Principle of Mathematical induction - 4 hours

     

     The inverse trigonometric functions (occasionally called cyclometric functions[1]) are the inverse functions of the trigonometric functions (with suitably restricted domains). Specifically, they are the inverses of the sinecosinetangentcotangentsecant, and cosecant functions, and are used to obtain an angle from any of the angle's trigonometric ratios. Inverse trigonometric functions are widely used in engineeringnavigationphysics, and geometry.

     

    5. Complex number and quadratic equations - 5 hours

     

    Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions.

    Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives. Rolle's and Lagrange's Mean Value Theorems (without proof) and their geometric interpretation.

     

    6. Linear inequaities - 5 hours

     

    Differentiation is all about finding rates of change of one quantity compared to another. We need differentiation when the rate of change is not constant.

     

    7. Permutation and combination - 6 hours

     

    This unit explains how differentiation can be used to calculate the equations of the tangent and normal to a curve. The tangent is a straight line which just touches the curve at a given point. The normal is a straight line which is perpendicular to the tangent.

     

    8. Binamial theorm - 4 hours

     

    Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).

     

    9. Sequence and series - 10 hours

     

     

    10. Coordinate geometry  (Straight line) - 5 hours

     

    The maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function.

     

    11. Conic sections - 5 hours

     

    12. Introduction to 3 dimensional geometry- 3 hours

     

    13. Calculus (limits)  - 6 hours

     

    14. Derivatives - 5 hours

     

    Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:

    dy/dx + py = q, where p and q are functions of x or constants.

    dx/dy + px = q, where p and q are functions of y or constants.

     

    15. Statistics - 5 hours

     

    Conditional probability, multiplication theorem on probability. independent events, total probability, Baye's theorem, Random variable and its probability distribution, mean and variance of random variable. Repeated independent (Bernoulli) trials and Binomial distribution.

     

    16. Probability - 5 hour

     

    Conditional probability, multiplication theorem on probability. independent events, total probability, Baye's theorem, Random variable and its probability distribution, mean and variance of random variable. Repeated independent (Bernoulli) trials and Binomial distribution.

     

    17. Mathematical reasoning - 3 hours

     

    Conditional probability, multiplication theorem on probability. independent events, total probability, Baye's theorem, Random variable and its probability distribution, mean and variance of random variable. Repeated independent (Bernoulli) trials and Binomial distribution.

     

  • Below mentioned training methodologies will be adopted while training:

     

    • Aim to provide contextually relevant, skill oriented and emotionally positive experiences via training
    • Continuous encouragement to the trainees to complete course
    • Elements:
      • Pre & Post Assessment
        • Objective and fair assessment of trainees post training
      • Demarcation between Theory and In class Practicals
      • Be as much interactive as possible
      • Encourage participants to share their ”burning questions” about the topic
      • Launching a poll question for participants to answer
      • Try to explain using famous models and studies
      • Incorporate Case based learning (case videos/ movies) and storytelling, if applicable
      • Integrate soft skills in the training, if applicable
      • Motivate learners to apply concepts from domain subjects in a real world situation
      • Practical Home work
      • Provision of skill Certification information to trainees, wherever applied and required
      • Encourage regular trainee interaction during , in-between and after the course
      • Aim to design a module that engages participants every 4 minutes
      • Encourage participants to use platform tools like Poll, Chat, Raise Hand, Screen Sharing etc.
      • Provision of learning/ reference material to the trainees
      • Regular post session response to the trainees
      • Record of participation and Certificate of achievement issued by EduSmart Skills
  • Frequently Asked Questions about Mathematics- All classes

    Not available!

  • EDUSMART SKILLS CERTIFICATION

     

    The entire training course content is in line with CBSE course curriculum and helps you clear the CBSE Mathematics- Class XII exam with ease and get the best scores

    During the program there will be assessments that perfectly reflect the type of questions asked in the exams and helps you score better.

    EduSmart Skills Course Completion certificate will be awarded on the completion of course.

  • Students Reviews for Mathematics- All classes