Network Theory and Complex Systems
( 30 Modules )

Module #1
Introduction to Network Theory
Overview of network theory, its importance, and applications

Module #2
Basic Concepts in Network Theory
Nodes, edges, graphs, and basic network metrics

Module #3
Network Representation and Visualization
Adjacency matrices, incidence matrices, and visualization techniques

Module #4
Network Properties and Characteristics
Degree distribution, centrality measures, and network robustness

Module #5
Random Network Models
Erdős-Rényi model, random graph models, and their applications

Module #6
Small-World Networks
Properties, models, and applications of small-world networks

Module #7
Scale-Free Networks
Properties, models, and applications of scale-free networks

Module #8
Network Dynamics and Processes
Network growth, link prediction, and network evolution

Module #9
Influence and Diffusion in Networks
Models of information diffusion, opinion dynamics, and influence maximization

Module #10
Centrality and Role Identification
Measures of centrality, role identification, and community detection

Module #11
Community Structure and Detection
Methods for community detection, evaluation, and visualization

Module #12
Network Optimization and Design
Optimization of network structures, network design, and graph algorithms

Module #13
Complex Systems and Network Science
Introduction to complex systems, emergence, and self-organization

Module #14
Phase Transitions and Critical Phenomena
Phase transitions, critical phenomena, and universality in complex systems

Module #15
Self-Organized Criticality
Self-organized criticality, sandpile models, and applications

Module #16
Nonlinear Dynamics and Chaos
Introduction to nonlinear dynamics, chaos, and bifurcations

Module #17
Applications of Network Theory and Complex Systems
Case studies in social networks, epidemiology, and biological systems

Module #18
Computational Methods for Network Analysis
Programming languages and libraries for network analysis (e.g., NetworkX, igraph)

Module #19
Network Data Collection and Preprocessing
Collecting and preprocessing network data, including data sources and formats

Module #20
Advanced Topics in Network Theory
Temporal networks, multilayer networks, and higher-order networks

Module #21
Network Neuroscience and Cognitive Systems
Network approaches to brain function, neural networks, and cognitive systems

Module #22
Epidemiology and Network Medicine
Network approaches to epidemiology, disease spread, and network medicine

Module #23
Social Network Analysis
Social network analysis, social influence, and opinion dynamics

Module #24
Economic Networks and Systems
Network approaches to economic systems, trade networks, and financial networks

Module #25
Environmental and Ecological Networks
Network approaches to environmental systems, ecological networks, and sustainability

Module #26
Network Visualization and Communication
Effective visualization and communication of network data and results

Module #27
Network Science and Policy
Network science and policy, including network governance and regulation

Module #28
Ethics and Fairness in Network Analysis
Ethical considerations in network analysis, fairness, and bias

Module #29
Future Directions in Network Theory and Complex Systems
Current research directions and open problems in network theory and complex systems

Module #30
Course Wrap-Up & Conclusion
Planning next steps in Network Theory and Complex Systems career

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Network Theory and Complex Systems ( 30 Modules )

Network Theory and Complex Systems
( 30 Modules )