Chemical Calculations at a Glance

P. Yates, University of Keele, Staffordshire, UK

• A. Handling Data. 1. Units.2. Significant figures.3. Accuracy and precision.4. Calculated quantities.5. Uncertainties.6. Maximum possible error.7. Maximum probable error.8. Simple statistics.9. Statistical tests.10. Scientific notation.B. Algebra and Basic Skills.11. Precedence.12. Fractions.13. Inequalities.14. Indices.15. Rearranging equations.16. Ratios and proportionality.17. Factorials.C. Functions.18. Functions of one variable.19. Functions of many variables.20. Equation of a straight line.21. Inverse functions.22. Series.23. Real and imaginary numbers.24. Complex numbers.25. Factorisation.26. Quadratic equations.27. The exponential function.28. Natural logarithms.29. Logarithms to base 10.D. Trigonometry and Vectors.30. Trigonometry.31. Trigonometric functions.32. Inverse trigonometric functions.33. Coordinate systems.34. Vectors.35. Moduli.36. Scalar and vector productsE. Calculus.37. Differentiation.38. Differentiation of polynomials.39. Differentiation of functions.40. Differentiation of combinations of functions.41. Higher order differentiation.42. Stationary points.43. Partial differentiation.44. The differential.45. Integration.46. Integration of polynomials.47. Integration of functions.48. Specific methods of integration.49. Solving differential equations50. Partial fractions

"By including problems (with solutions) the student id encouraged to practice both the mathematical manipulations and their application to the problems in chemistry...would make a useful addition to the bookshelf of a chemistry undergraduate."Chemistry World (Jan 2006) "Every new idea is explained using real chemical examples...the problems and worked answers at the end of each section are excellent, and a valuable aid to both the students and lecturers." "Students will be able to work through its content at their own pace, wihtout feeling overwhelmed by the difficult sections or patronised by the simpler ones. I would not be surprised if Chemical Calculations at a glance became the standard recommended textbook for the remedial maths classes in most UK chemistry departments." Education in Chemistry (Jan 2006)