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Bal Bharati Public School was established for education and provides academic qualification and develops education level of the students. It’s providing excellent staff for study.

Academic session:

I to V
VI to X
XI to XII

Syllabus of mathematics:

FIRST TERM

Unit -III : Calculus

PART - I (19th March – 18th May, 2012) (1st Cycle Test)
1. Continuity and Differentiability : (18 Periods)
Continuity and differentiability, derivative of composite functions,
chain rule, derivatives of inverse trigonometric functions,
derivative of implicit function. 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
interpretations.

2. Applications of Derivatives : (10 Periods)
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).
1. Linear Programming : (12 Periods)
Introduction, related terminology such as constraints, objective
function, optimization, different types of linear programming (L.P.)
problems, mathematical formulation of L.P. problems, graphical
method of solution for problems in two variables, feasible and
infeasible regions, feasible and infeasible solutions, optimal
feasible solutions (up to three non-trivial constrains).
Definite integrals as a limit of a sum, Fundamental Theorem of
Calculus (without proof).

FIRST TERM Part-II

Unit-VI : PROBABILITY

1. Probability : (18 Periods)
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) trails and
Binomial distribution.

NIT - II : ALGEBRA

1. Matrices :
Concept, notation, order, equality, types of matrices, zero matrix,
transpose of a matrix, symmetric and skew symmetric matrices,
Addition, multiplication and scalar multiplication of matrics, simple
5 6

Class - XII Class - XII
properties of addition, multiplication and scalar multiplication.
Non-commutativity 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).

2. Determinants :
Determinant of a square matrix (up to 3 x 3 matrices), properties
of determinants, minors, cofactors 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 in two or three variables
(having unique solution) using inverse of a matrix.

2. Inverse Trigonometric Functions : (12 Periods)
Definition, range , domain, principal value branches. Graphs of
inverse trigonometric functions. Elementary properties of
inverse trigonometric functions.

For more detailed information I am uplaoding a PDF file to free to download:

Houses:

Abhimanyu
Ashoka
C.V. Raman
Jawahar
Mother Teresa
Shastri
Shivaji
Subhash

Clubs:

Astronomy Club
Commerce Club
Dramatics Club
Economics Club
Environment Club
Formula 1 Club
Heritage Club
Health and Wellness Club
Interact Club
IAYP (International Award for Young People) Club
Literary Club
Quizzing Club
Tod Fod Jod Club
Robotics Club
Scouts and Guides Club

Contact Details:

Bal Bharati Public School,
Ganga Ram Hospital Marg,
New Delhi-110 060

Attached Files

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