MATHEMATICS FOR CHEMISTS I

Paper Code: 
CHY 114 A
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

Course Objective(s):

This course will enable the students to –

  • learn about mathematical concepts which will be helpful in their mathematical approach of chemistry.

   Course Outcomes (COs):

 

Course Outcomes

 

Teaching  Learning Strategies

Assessment

Strategies

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

CO19: explain characteristics of basic mathematical functions and apply these in solving chemistry problems.

CO20: apply concept of differentiation to find maxima and minima of functions.

CO21: solve problems of thermodynamics, chemical kinetics and quantum mechanics on differentiation and integration.

CO22: find roots of equations using numerical methods like Newton-Raphson method and binary bisection method.

CO23: apply numerical method of integration like Trapezoidal and Simpsons rule for integration.

CO24: explain and apply basic concepts of probability distribution.

 

• Interactive lectures

• Discussions

• Tutorials

• Problem solving exercise
  •  Oral and written examinations
  • Assignments
  • Quiz

 

 

9.00
Unit I: 
Recapitulation

Fundamentals- mathematical functions, odd and even functions, trigonometric functions, polynomial expressions, logarithmic functions, exponential functions, constants and variables, standard forms of straight lines and parabolic equations with graphs.

9.00
Unit II: 
Differential Calculus

Differentiation of simple functions like xn, ex, log x, sin x, cos x, higher order derivatives, partial differentiation of first and second order, total differentiation, maxima and minima of one variable function.

9.00
Unit III: 
Integral Calculus

Indefinite integrals, integration of standard function, methods of integration- integration by substitution, integration by parts, integration by means of a partial fraction, definite integrals and their properties.

 

9.00
Unit IV: 
Numerical Calculus

Roots of quadratic equations analytically and iteratively (e.g. pH of a weak acid), numerical methods of finding roots (Newton-Raphson, binary- bisection, e.g. pH of a weak acid not ignoring the ionization of water, volume of a van der Waals gas, equilibrium constant expressions), numerical integration (Trapezoidal and Simpson’s rule, e.g. entropy/enthalpy change from heat capacity data).

 

9.00
Unit V: 
Mathematical Series & Statistics

Power series, Maclaurin, Taylor series, basic concepts of probability distributions (gas kinetic theory) and mean values, binomial distribution (gas kinetic theory)
Note: Simple calculators are allowed.

 

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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