Certificate Course

MATHEMATICS FOR CHEMISTRY

1. Differentiations

Differentiability,constant rule, sum rule, product rule, quotient rule, derivative of composite functions, chain rule, derivatives of trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms.

Partial differential equations of order two with variable coefficients. Second order partial differential equations. Total derivative.

Applications of differentiations in chemistry

Operators & operator algebra in Quantum chemistry.

Differentiations & partial differentiations in various topics of Thermodynamics

2. Integration

Integration as inverse process of differentiation. Constant rule and sum rule. Integration of a variety of functions by substitution, using trigonometric functions, by parts, Evaluation of simple integrals.

Indefinite integrals,definite integrals

Applications of integrations in chemistry

Derivation of first, second & third order rate constants in Chemical kinetics

Derivation of rate constants in case of parallel, opposing and consecutive reactions

Derivation of expressions in various topics of Thermodynamics

Class Schedule

S.No. Name of the topic No. of hours

Differentiation

1 Pre Course Assessment ; Introduction of differentiability, constant rule 01

2 Sum rule, product rule, quotient rule 02

3 Derivative of composite functions, chain rule 02

4 Derivatives of trigonometric functions & implicit functions 02

5 Concept of exponential and logarithmic functions & Derivatives of logarithmic and exponential functions 02

6 Logarithmic differentiation, derivative of functions expressed in parametric forms 02

7 Partial differential equations of order two with variable coefficients 02

8 Second order partial differential equations. Total derivative & Test 02

Applications of differentiations in chemistry

9 Operators & operator algebra in Quantum chemistry 02

10 Differentiations & partial differentiations in various topics of Thermodynamics 03

Integration

11 Integration as inverse process of differentiation & constant rule and sum rule 01

12 Integration of functions by substitution 01

13 Integration of trigonometric functions by parts 02

14 Evaluation of simple integrals.Indefinite integrals, definite integrals & Test 01

Applications of integrations in chemistry

15 Derivation of first and second order rate constants in Chemical kinetics 01

16 Derivation of rate constants in case of parallel, opposing and consecutive reactions 02

17 Final Test 01