#### Syllabus

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.