Principles of Qualitative Analysis
Detection of water soluble noninterfaring Acid and Basic Radicals by dry and wet tests from among :
(a) Acid Radicals : Cl-, S2-, SO42-, NO3-, CO32-
(b) Basic Radicals: Cu2+, Al3+, Fe3+, Fe2+, Zn2+, Ca2+, Mg2+, Na+, NH4+
Detection of special elements (N, Cl, Br, I and S) in organic compounds by chemical tests. Identification of functional groups in : phenols, aromatic amines, aldehydes, ketones and carboxylic acids.
Permutation and combination : Permutation of n different things taken r at a time (r≤n). Permutation of n things not all different. Permutation with repetitions (circular permutation excluded).
Quadratic Equations : Quadratic equations with real coefficients; Relations between roots and coefficients; Nature of roots; Formation of a quadratic equation, sign and magnitude of the quadratic expression ax2+bx+c (a,b,c are rational numbers and a≠0).
Complex Numbers: Definition and properties of complex numbers; Complex conjugate; Triangle inequality; Square root of complex numbers; Cube roots of unity; D’Moivre’s theorem (statement only) and its elementary applications.
Logarithms :Definition; General properties; Change of base.
SYLLABUS FOR WEST BENGAL JOINT ENTRANCE EXAMINATION MATHEMATICS
ALGEBRA
