| | | Preface | | |
| Sect. I | | Process Modeling | | 1 |
| 1 | | Introduction | | 3 |
| 2 | | Process Modeling | | 16 |
| Sect. II | | Numerical Techniques | | 49 |
| 3 | | Algebraic Equations | | 51 |
| 4 | | Numerical Integration | | 80 |
| Sect. III | | Linear Systems Analysis | | 103 |
| 5 | | Linearization of Nonlinear Models: The State-Space Formulation | | 105 |
| 6 | | Solving Linear nth Order ODE Models | | 142 |
| 7 | | An Introduction to Laplace Transforms | | 168 |
| 8 | | Transfer Function Analysis of First-Order Systems | | 190 |
| 9 | | Transfer Function Analysis of Higher-Order Systems | | 215 |
| 10 | | Matrix Transfer Functions | | 247 |
| 11 | | Block Diagrams | | 261 |
| 12 | | Linear Systems Summary | | 282 |
| Sect. IV | | Nonlinear Systems Analysis | | 301 |
| 13 | | Phase-Plane Analysis | | 303 |
| 14 | | Introduction Nonlinear Dynamics: A Case Study of the Quadratic Map | | 331 |
| 15 | | Bifurcation Behavior of Single ODE Systems | | 360 |
| 16 | | Bifurcation Behavior of Two-State Systems | | 381 |
| 17 | | Introduction to Chaos: The Lorenz Equations | | 395 |
| Sect. IV | | Review and Learning Modules | | 413 |
| Module 1 | | Introduction to MATLAB | | 415 |
| Module 2 | | Review of Matrix Algebra | | 435 |
| Module 3 | | Linear Regression | | 452 |
| | More... | | |