MATHEMATICS FOR CHEMISTS II

Paper Code: 
CHY 414 A
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

Course Objective(s):

This course will enable the students to -

  • understand about the concept of matrix, determinant, vectors, complex numbers, differential and integral calculus and their use in chemistry.

Course Outcomes (COs):

Course Outcomes

 

  Teaching Learning Strategies

Assessment

Strategies

On completion of this course, the students will be able to –

CO111: apply basic operations of matrices to solve simultaneous equations.

CO112: use basic operations of vectors, vector derivatives and coordinate systems.

CO113: apply the basic differential and integral calculus to determine extreme and stationary points of a function.

CO114: solve first order and first degree linear differential equation.

CO115: apply the concept of complex numbers in solving the problems.
  • Interactive lectures
  • Discussion
  • Tutorials
  • Problem solving exercises

 

 
  • Oral and written examinations
  • Open book tests
  • Quiz
  • Assignments

 

 

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: 
Application of differential and integral calculus

Maximum and minimum values of functions of two variables, extreme points and stationary points of a function, Euler’s theorem on homogenous function 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 equation of first order PDE, types of integrals of a PDE, the integral of the Lagrange’s linear equation.

 

9.00
Unit V: 
Complex Numbers

Complex numbers, complex plane, Argand diagram, complex conjugates, modulus of a complex number, square root of a complex number, Euler’s formula and polar form of complex numbers.

 

Essential Readings: 
  • The Chemical Maths Book, Second Edition; E. Steiner; Oxford University Press, New York, 2011.
  • Mathematics for chemist; B. Singh; Pragati Prakashan, Meerut, 2020.

 

References: 

 SUGGESTED READINGS :

  • Mathematics for Physical Chemistry, Fourth Edition; R.Mortimer; Elsevier, USA, 2013.
  • Chemical Calculations: Mathematics for Chemistry, Second Edition; P.Yates; CRC Press, 2007.
  • Mathematics for chemist; G.S.Niranjan, S.K.Tripathi; Anusandhan Prakashan, Kanpur,2015.

e-RESOURCES:

Academic Year: 
2022-2023
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