MCH-105 (a) : MATHEMATICS FOR CHEMISTS Syllabus M.Sc. (CHEMISTRY) -1st-I Sem. Syllabus for DAVV Indore Affiliated Institutions

DEVI AHILYA VISHWAVIDYALAYA, DAVV INDORE Syllabus

M.Sc. (CHEMISTRY) First-1st-I Semester Curriculum/ Syllabus

 MCH-105 (a) : MATHEMATICS FOR CHEMISTS Syllabus 
 (For students without Mathematics in B.Sc.) 

 Unit-I : Vectors

Vectors, dot, cross and triple products etc. gradient, divergence and curl, Vector Calculus. Differential Calculus Functions, continuity and differentiability, rules for differentiation, applications of differential calculus including maxima and minima (examples related to maximally populated rotational energy levels, Bohr's radius and most probable velocity from Maxwell's distribution etc.).

Unit-II : Integral calculus

Basic rules for integration, integration by parts, partial fractions and substitution. Reduction formulae, applications of integral calculus. Functions of several variables, partial differentiation, co-ordinate transformations (e.g. Cartesian to spherical polar).

Unit-III : Elementary Differential equations

First-order and first degree differential equations, homogenous, exact and linear equations. Applications to chemical kinetics, secular equilibria, quantum chemistry etc. second order differential equation and their solutions.

Unit-IV: Permutations and Combinations

Permutations and combinations, probability and probability theorems average, variance root
means square deviation examples from the kinetic theory of gases etc., fitting (including least
squares fit etc with a general polynomial fit.

Book Suggested

1. The chemistry Mathematics Book, E.Steiner, Oxford University Press.
2. Mathematics for chemistry, Doggett and Suiclific, Logman.
3. Mathematical for Physical chemistry : F. Daniels, Mc. Graw Hill.
4. Chemical Mathematics D.M. Hirst, Longman.
5. Applied Mathematics for Physical Chemistery, J.R. Barante, Prenice Hall.
6. Basic Mathematics for Chemists, Tebbutt, Wiley.