Foundations of Mathematical Modelling for Engineering Problem Solving

Description

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