Engineering Mathematics and Statistics

Cheremisinoff\, Nicholas P.; Ferrante\, Louise

• Part A: Mathematics 1. Angle Between, Norm, and Dot Product of Vectors 2. Area of a Triangle (a, b, c) 3. Area of a Triangle (a, b, C) 4. Area of a Triangle (a, B, C) 5. Area of a Triangle [(x1, y1), (x2, y2), (x3, y3)] 6. Circle Determined by Three Points 7. Compounded Amount 8. Depreciation Schedules (Straight Line) 9. Depreciation Schedules (Sum-of-the-Year’s Digits) 10. Depreciation Schedules (Variable Rate Declining Balance) 11. Determinant and Inverse of a 2 × 2 Matrix 12. Determinant of a 3 × 3 Matrix 13. Direct Reduction Loan Interest Rate 14. Direct Reduction Loan Payment, Present Value, Number of Time Periods 15. Direct Reduction Loan Accumulated Interest, Remaining Balance 16. Direct Reduction Loan Amortization Schedules 17. Discounted Cash Flow Analysis 18. Geometric Relations 19. Inverse Hyperbolic Functions 20. Linear Interpolation 21. Matrix Multiplication (2 × 2) 22. Nomograph Construction 23. Polynomial Evaluation 24. Polygons Circumscribed about a Circle 25. Polygons Inscribed in a Circle 26. Quadratic Equations 27. Series Formulas 28. Simultaneous Equations 29. Sinking Fund Payment, Future Value, Number of Time Periods 30. Triangle Solutions 31. Trigonometric Relationships 32. Vector Products Part B: Statistics Formulas and Data Regression 33. Bartlett’s Chi-Square Statistic 34. Bayes’ Formula 35. Behrens-Fisher Statistic 36. Binomial Distribution 37. Biserial Correlation Coefficient 38. Bivariate Normal Distribution 39. Chi-Square Distribution 40. Chi-Square Evaluation 41. Combination 42. Correlation Coefficient 43. Covariance and Correlation Coefficient 44. Differences Among Proportions 45. Dimensional Analysis 46. Error Function and Complementary Error Function 47. Exponential Curve Fit 48. F Distribution 49. Gamma Function 50. Generalized Mean 51. Geometric Mean 52. Harmonic Mean 53. Hypergeometric Distribution 54. Inverse Normal Integral 55. Kendall’s Coefficient of Concordance 56. Kruskall-Wallis Statistic 57. Linear Regression (Method of Least Squares Fit) 58. Logarithmic Curve Fit 59. Logarithmic Normal Distribution 60. Mann-Whitney Statistic 61. Mean-Square Successive Difference 62. Mean, Standard Deviation, Standard Error for Grouped Data 63. Moments, Skewness and Kurtosis 64. Nested Designs 65. Normal Distribution 66. One Sample Test Statistics for the Mean 67. Paired t Statistic 68. Partial Correlation Coefficients 69. Permutation 70. Poisson Distribution 71. Power Curve Fit 72. Polynomial Curve Fit 73. Probability of No Repetitions in a Sample 74. Probit Analysis 75. Spearman’s Rank Correlation Coefficient 76. Standard Errors for Linear Regression 77. Standardized Scores 78. t Distribution 79. t Statistic for Two Means 80. Trimming 81. Weibull Distribution Parameter Calculation