Electrostatics : Coulomb’s law, electric field and potential,flux of electric field, Gauss’ law, electric field and potential due to an infinite line charge, charged infinite sheet, solid spheres and spherical shells.Electric dipole and field due to dipole.
Capacitance, spherical and parallel plate capacitors, energy stored in a capacitor, series and parallel combination of capacitors,
Probability : Classical definition, addition rule, conditional probability and Bayes’ theorem, independence, multiplication rule.
Sets, Relations and Mappings : Idea of sets, subsets, power set, complement, union, intersection and difference of sets, Venn diagram, De Morgan’s Laws, Inclusion / Exclusion formula for two or three finite sets, Cartesian product of sets.
Matrices : Concepts of m x n (m≤3, n≤3) real matrices, operations of addition, scalar multiplication and multiplication of matrices. Transpose of a matrix. Determinant of a square matrix. Properties of determinants (statement only). Minor, cofactor and adjoint of a matrix.
Infinite series : Binomial theorem for negative and fractional index. Infinite G.P. series, Exponential and Logarithmic series with range of validity (statement only), simple applications.
Binomial theorem (positive integral index) :Statement of the theorem, general term, middle term, equidistant terms, properties of binomial co-efficients.
