Course Objectives:
This course will enable the students to –
Course Outcomes (COs):
Course 
Learning outcomes (at course level) 
Learning and teaching strategies 
Assessment Strategies 

Paper Code 
Paper Title 

CHY114 
Mathemat ical concepts I 
The students will be able to –
CO18: find maxima and minima, critical point and inflection points of functions. CO19: produce and interpret graphs of basic function like linear and sparabola. CO20: explain and apply basic concepts of probability. CO21: solve applied problem of chemistry using differentiation and integration. CO22: find roots of equations using numerical method like Newton Raphson method, binary bisection method. CO23: apply numerical method of integration like Trapezoidal and Simpsons rule for integration. 
Interactive Lectures
Discussions
Tutorials
Problem solving 
The oral and written examinations (Scheduled and surprise tests)
Problem solving exercises
Assignments Quiz
Semester End Examination 
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 x^{n}, e^{x}, log 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 (NewtonRaphson, 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 (gas kinetic theory).
Note: Calculations involving use of calculator is to be avoided.