Mathematical Concepts -II

Paper Code: 
CHY - 214
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
9.00
Unit I: 
Matrices and Determinants

Matrix algebra, Determinants, matrix inversion, Solving Simultaneous equations using inverse of a matrix, consistency and independence.. Simultaneous equations with three unknowns (e.g. spectrophotometry) using Cramer’s rule. Homogeneous linear equations.
 

9.00
Unit II: 
Vectors

Vectors and coordinate systems: Unit vectors (application in solid state), Component of vectors, addition and subtraction of vectors, multiplication of vectors. Vector calculus: differentiation of vectors, Vector derivative operators(Basic concepts of gradient, divergence and curl).Coordinate systems in three dimensions (Cartesian, polar, spherical and their interconversion).
 

9.00
Unit III: 
Extreme Value of Variables and Multiple Integral

Maximum and minimum values of functions of two variables. Multiple integrals(Basic concepts of double and triple integral).Change of order of double integration.

9.00
Unit IV: 
Differential Equations

Differential equations: Order and degree of differential equations, solution of first order and first degree differential equations with separable variables, homogeneous and linear differential equations .Partial differential equations by method of separation of variables.
 

9.00
Unit V: 
Complex Numbers and Operators

Complex numbers, complex plane, Argand diagram,complex conjugates, modulus of a complex number, Euler’s formula and polar form of complex numbers,
Operators: operator algebra, linear operators, eigenfunctions and eigenvalues, commutators of operators, Hermitian operators.
 

References: 
  1. Mathematics for Physical Chemistry;McQuarrie,D. A. University Science Books,2008.
  2. Mathematics for Physical Chemistry; Mortimer, R. 3rd Ed. Elsevier, 2005.
  3. The Chemical Maths Book; Steiner, E. Oxford University Press, 1996.
  4. Chemical calculations. Second Ed.; Yates, P. CRC Press, 2007.

  

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