| Preface to Volume II |
v |
5. Multivariable Models from Verbal Descriptions: Interest, NPV, SSE |
741 |
|
5.1 Multivariable Functions and Models, 3-D Graphs |
743 |
|
5.2 Formulating Models from Verbal Descriptions |
773 |
|
5.3 Interest and Investments |
809 |
|
5.4 The Time Value of Money (Present Value and Future Value) and Loans |
837 |
|
5.5 Formulating SSE in Terms of Model Parameters |
867 |
|
Summary |
885 |
6. Multivariate Models from Data: Regression and Statistics |
893 |
|
6.1 Multivariable Models from Data - Spreadsheets and Regression |
897 |
|
6.2 Mean, Variance, Standard Deviation, MSE, Misuse of Statistics |
935 |
|
6.3 R2, Standard Error, Misuse of Regression, Regression Assumptions |
969 |
|
6.4* Investment Portfolios, Risk-Return Tradeoffs, Pareto Efficiency |
997 |
|
Summary |
1007 |
7. Matrices and Solving Systems of Equations |
1013 |
|
7.1 Introduction to Matrices and Basic Operations |
1015 |
|
7.2 Matrix Multiplication |
1035 |
|
7.3 Systems of Linear Equations and Augmented Matrices |
1055 |
|
7.4 Matrix Equations and Inverse Matrices |
1079 |
|
7.5* Markov Chains |
1103 |
|
Summary |
1123 |
8. Unconstrained Optimization of Multivariable Functions |
1127 |
|
8.1 Rates of Change of Multivariable Functions |
1129 |
|
8.2 Finding Local Extrema of Multivariable Functions |
1149 |
|
8.3 Optimization using a Spreadsheet |
1173 |
|
8.4 Testing for Local and Global Extrema |
1199 |
|
8.5 The Method of Least Squares |
1233 |
|
Summary |
1263 |
9. Constrained Optimization and Linear Programming |
1267 |
|
9.1 Optimization with Equality Constraints: Lagrange Multipliers |
1269 |
|
9.2 Solving Linear Programs Graphically |
1307 |
|
9.3 The Simplex Method |
1337 |
|
9.4 Linear Optimization on Spreadsheets |
1361 |
|
Summary |
1393 |