Mathematical concepts I

Paper Code: 
CHY-114
Credits: 
3
Contact Hours: 
45.00
Objective: 

Course Objectives:

This course will enable the students to –

1.  learn about mathematical concepts which will be helpful in chemical derivations.

 Course Outcomes (COs):

Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Paper Code

Paper Title

CHY-114

Mathematical Concepts I

The students will be able to –

 

CO18: explain characteristics of basic mathematical functions and apply these solving problem in chemistry.

CO19: apply concept of differentiation to find maxima and minima of functions.

CO20: solve  problem of chemistry based on differentiation and integration.

CO21: find roots of equations using numerical method like Newton -Raphson method and binary bisection method.

CO22: apply numerical method of integration like Trapezoidal and Simpsons rule for integration.

CO23: explain and apply basic concepts of probability distribution.

 

Interactive Lectures

 

 Discussions

 

Tutorials

 

Problem solving

Oral and written examinations (Scheduled and surprise tests)

 

Problem solving exercises

 

Assignments

 

Quiz

  

Semester End Examination

 

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, logx, higher order derivatives, partial differentiation of first and second order, total differentiation. Maxima and minima of one variable function.

10.00
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.

10.00
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).

7.00
Unit V: 
Mathematical Series and Statistics

Power series, Maclaurin, Taylor series, basic concepts of probability distributions (gas kinetic theory) and meanvalues; Binomial (gas kinetic theory).

Note: Calculations involving use of calculator is to be avoided.

 

References: 
  • Mathematics for Physical Chemistry; Second Edition; McQuarrie, D. A.; University Science Books,2008.
  • Mathematics for Physical Chemistry; Mortimer, R..Fourth Edition. Elsevier, USA 2013.
  • The Chemical Maths Book; Second Edition Steiner, E. Oxford University Press, New York, 2011.
  • Chemical Calculations; Mathematics for Chemistry; Second Edition. Yates, P. CRC Press 2007.

 

Academic Year: 
2021-2022
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