Preface
Contents
About the Authors
1 Introduction
1.1 Modeling
1.2 Mathematical Modeling
1.3 General Steps
1.4 Trends in Teaching and Learning
1.5 Summary
References
2 Problem Solving and Mathematical Modeling
2.1 Problem Evolution
2.2 Problem Solving
2.3 Problem Classification
2.4 Modeling Process and Teaching Approaches
2.5 Summary
References
3 Decision Problems
3.1 Introduction
3.1.1 Control Theory
3.1.2 Game Theory
3.1.3 Probability and Statistics
3.1.4 Multicriteria Decision Analysis
3.2 Motivation
3.3 Case Studies
3.4 Summary
References
4 Optimization Problems
4.1 Introduction
4.1.1 Mathematical Modeling
4.1.2 History Development of Optimization
4.1.3 Optimization
4.2 Motivation
4.3 Case Study
4.4 Summary
References
5 Delay Problems
5.1 Introduction
5.1.1 Queuing Theory
5.1.2 Delay Differential Equations
5.2 Motivation
5.3 Case Studies
5.4 Summary
References
6 Data Science Problems
6.1 Introduction
6.1.1 Data Analytics and Learning Methodologies
6.1.2 Data Visualization Tools and Data Modeling
6.2 Motivation
6.3 Case Studies
6.4 Summary
References
7 Pandemic Problems
7.1 Introduction
7.1.1 Impacts of Pandemics
7.2 Motivation
7.2.1 Types of Epidemic Models
7.3 Case Studies
7.3.1 Compartmental Models
7.3.2 COVID-19 Pandemic Problem
7.4 Summary
References
8 Interdisciplinary Engineering Problems
8.1 Introduction
8.2 Motivation
8.3 Case Studies
8.4 Summary
References
9 Conclusion
9.1 Summary
9.2 Research Openings and Future Outlook