1. Physical Chemistry I Text Book: “Physical Chemistry” 10 th edition, by Peter Atkins, Julio De Paula

2. Logarithm and Exponential Natural Logarithms: ln x + ln y = ln xy ln x + ln y = ln( x/y) a ln x = ln x a ln x = (ln 10) log x = 2.302585 log x Exponential Functions: e = 2.71828182846… e x e y = e x+y e x / e y = e x-y

3. Page 59-62 Differentiation: definition Differentiation and integration

4. Basic Derivatives

5. Differentiation: Manipulation

6. Examples

7. Differentiation: Manipulation Taylor Expansion

8. Integration: definition = lim  x -  0 Definite Integral versus Indefinite Integral

9. Some Basic Integrals

10. Examples

11. Multivariate Calculus Page 109-111

14. The First Law (Chapter 2 of Text Book) Basic concepts 1.Open, closed & isolated systems64 2.Work, heat, and energy65 3.Expansion work68 4.Heat Capacity73 Enthalpy75 Thermochemistry 1.Standard enthalpy changes80 2.Standard enthalpy of formation84 State functions and exact differentials 1.Exact and inexact differentials80 2.Changes in internal energy84 3.Joule-Thomson effect95 Adiabatic changes100

15. State function: its value depends only on the current state of the system and is independent of how that state has been prepared. Energy is a state function. What is Energy U? U = P + K K = K order + K random

17. Heat: qWork: w  U = q + w U: Internal Energy  U = q + w Internal energy of an isolated system is constant Work, heat, and energy

22. Vibrational modes of CO 2 Symmetric stretching Asymmetric stretching Bending Degeneracy=2

23. Vibrational modes of H 2 O Symmetric stretching Asymmetric stretching Bending

28. Thermochemistry: Standard enthalpy changes

33. Thermochemistry: Standard enthalpies of formation

35. State functions and exact differentials: Exact and inexact differentials Infinitesimal change of a state function is an exact differential

38. State functions and exact differentials: Changes in internal energy

39. Perfect gas In general

41. Adiabatic Processes