Unit I (12 Hrs.)
Logarithm and set theory- definition of set , methods of describing a set , types of set sub sets and their
properties, compliment of set operations of sets , fundamental law of algebra of sets, de Morgan‟s law, Venn
Diagram, application of sets in problems based on number of elements of the set
Logarithms:-definitions fundamentals properties of logratihm with proofs, base changing formula with proof,
problem solving without using log table, application of logarithm in solving problem based on
compound intrest, depreciation and population growth using log tables.
Matrices and Determinants: definition of matrix, equality of matrices, types of matrices, scaler
multiplications, operation on matrices, transpose of matrices, symmetric and skew symmetric matrices,
determinants- introduction, Minors & Cofactors, adjoint of a matrix, inverse of a matrix, application of matrices
in solving system of linear equations, using Cramer‟s Rule and matrix inversion method .
UNIT III (12 Hrs.)
Derivatives- definition of derivatives, derivative from first principle, derivative of sum, Difference, Product and
Quotient of two functions, chain rule, derivative of parametric equations, differentiation of one function w.r.t.
another function , Implicit functions, logarithmic Differentiation, Derivative of second order, application of
derivatives- maxima and minima.
UNIT IV (12 Hrs.)
Binomial Theorem- introduction to binomial theorem, problems based on binomial theorem, general term,
particular terms, middle term, binomial theorem for any index, applications of binomial theorem. Logarithmsdefinition
, fundamental properties of logarithms with proofs, base changing formula with proof, problem
solving without using log table, application of logarithms in solving problem based on compound interest,
depreciation and population growth using log tables.