Course Objective(s):
This course will enable the students to –
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 |
|
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.
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.
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.
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).
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.
SUGGESTED READINGS :
e-RESOURCES: