Syllabus
All Boards.All Classes.
Ch 1
Set language
Sets, types of sets, operations on sets, Venn diagrams
Ch 2
Real numbers
Irrational numbers, surds, rationalisation, real number line
Ch 3
Algebra
Polynomials, GCD, LCM, algebraic identities, factorisation
Ch 4
Geometry
Congruence, similarity, Pythagoras theorem, circle theorems
Ch 5
Coordinate geometry
Cartesian plane, distance formula, midpoint, section formula
Ch 6
Trigonometry
Trigonometric ratios, identities, complementary angles
Ch 7
Mensuration
Area of plane figures, surface area and volume of solids
Ch 8
Statistics & probability
Mean, median, mode, basics of probability
Ch 9
Relations and functions
Types of relations, inverse functions, composition
Ch 10
Permutations & combinations
Fundamental counting, formulas for nPr and nCr
Ch 11
Binomial theorem
Expansion, general term, middle term
Ch 12
Sequences and series
AP, GP, special series, arithmetic-geometric series
Ch 13
Limits and derivatives
Limits, continuity, derivatives of standard functions
Ch 14
Matrices
Types, operations, transpose, symmetric, skew-symmetric
Ch 15
Determinants
Properties, cofactors, adjoint, inverse, Cramer’s rule
Ch 16
Inverse trigonometric functions
Properties, graphs, principal value, identities
Ch 17
Continuity and differentiability
Chain rule, implicit, parametric, log differentiation, MVT
Ch 18
Applications of derivatives
Rate of change, tangents, increasing/decreasing, maxima/minima
Ch 19
Integrals
Methods of integration, partial fractions, definite integrals
Ch 20
Applications of integrals
Area under curves, area between two curves
Ch 21
Differential equations
Order, degree, variable separable, homogeneous, linear ODE
Ch 22
Vector algebra
Types of vectors, dot, cross, scalar triple product
Ch 23
Three dimensional geometry
Direction cosines, lines and planes, angle between them
Ch 24
Linear programming
Objective function, constraints, graphical method
Ch 25
GST and commercial math
GST, banking, shares & dividends, compound interest