Mathematical Modeling: Process and Presentation offers a comprehensive introduction to the art of mathematical modeling, engaging students through thought-provoking questions and interactive content. Each chapter presents a different canonical modeling type, guiding readers through the essential components of the modeling process, from problem posing and assumptions to reflection and purpose definition. With relatable examples, such as estimating efforts in balloon filling or developing metrics for college roommate matching, students are encouraged to explore and expand on the models presented. This text stands out by revisiting the modeling process throughout, rather than focusing solely on examples, fostering a deeper understanding of the methodology. Accessible to a broad audience, it invites readers to apply their mathematical tools at varying levels of sophistication, ensuring that the focus remains on the core process, which remains relevant as their knowledge grows. Mathematical Modeling: Process and Presentation is an invaluable resource for undergraduate students and early graduate-level mathematics learners seeking to enhance their modeling skills and engage with real-world applications.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iv 6. Dedication - p. v 7. Biography - p. xiii 8. Preface - p. xv 9. Chapter 1: The power of creativity - p. 1 10. Chapter 2: Birthday surprise! - p. 15 11. Chapter 3: All clear! - p. 25 12. Chapter 4: Roommate matching - p. 43 13. Chapter 5: The art auction - p. 57 14. Chapter 6: Cross state rivals - p. 69 15. Chapter 7: Harvesting a fish farm - p. 83 16. Chapter 8: Lake pollution - p. 99 17. Chapter 9: Infectious disease - p. 111 18. Chapter 10: Chilling out and cooking chicken - p. 125 19. Chapter 11: A balanced meal - p. 141 20. Chapter 12: Retirement planning - p. 153 21. Chapter 13: Passive solar shading - p. 167 22. Chapter 14: Take your medicine - p. 177 23. Chapter 15: Setting goals for the department - p. 189 24. Chapter 16: Finding your way - p. 201 25. Chapter 17: Random testing - p. 215 26. Chapter 18: Wait, what? - p. 223 27. References - p. 233 28. Index - p. 237
Mathematical Modeling: Process and Presentation offers a comprehensive introduction to the art of mathematical modeling, engaging students through thought-provoking questions and interactive content. Each chapter presents a different canonical modeling type, guiding readers through the essential components of the modeling process, from problem posing and assumptions to reflection and purpose definition. With relatable examples, such as estimating efforts in balloon filling or developing metrics for college roommate matching, students are encouraged to explore and expand on the models presented. This text stands out by revisiting the modeling process throughout, rather than focusing solely on examples, fostering a deeper understanding of the methodology. Accessible to a broad audience, it invites readers to apply their mathematical tools at varying levels of sophistication, ensuring that the focus remains on the core process, which remains relevant as their knowledge grows. Mathematical Modeling: Process and Presentation is an invaluable resource for undergraduate students and early graduate-level mathematics learners seeking to enhance their modeling skills and engage with real-world applications.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iv 6. Dedication - p. v 7. Biography - p. xiii 8. Preface - p. xv 9. Chapter 1: The power of creativity - p. 1 10. Chapter 2: Birthday surprise! - p. 15 11. Chapter 3: All clear! - p. 25 12. Chapter 4: Roommate matching - p. 43 13. Chapter 5: The art auction - p. 57 14. Chapter 6: Cross state rivals - p. 69 15. Chapter 7: Harvesting a fish farm - p. 83 16. Chapter 8: Lake pollution - p. 99 17. Chapter 9: Infectious disease - p. 111 18. Chapter 10: Chilling out and cooking chicken - p. 125 19. Chapter 11: A balanced meal - p. 141 20. Chapter 12: Retirement planning - p. 153 21. Chapter 13: Passive solar shading - p. 167 22. Chapter 14: Take your medicine - p. 177 23. Chapter 15: Setting goals for the department - p. 189 24. Chapter 16: Finding your way - p. 201 25. Chapter 17: Random testing - p. 215 26. Chapter 18: Wait, what? - p. 223 27. References - p. 233 28. Index - p. 237
