Module #1 Introduction to Nonlinear Dynamics Overview of nonlinear dynamics, importance in engineering, and historical background
Module #2 Mathematical Preliminaries Review of linear algebra, differential equations, and stability analysis
Module #3 Nonlinear Systems and Phase Portraits Introduction to nonlinear systems, phase portraits, and stability analysis
Module #4 Bifurcation Analysis Introduction to bifurcations, types of bifurcations, and applications
Module #5 Chaos and Fractals Introduction to chaos, fractals, and the butterfly effect
Module #6 Numerical Methods for Nonlinear Dynamics Introduction to numerical methods for nonlinear dynamics, including time-stepping methods and pseudo-spectral methods
Module #7 Nonlinear Oscillations Nonlinear oscillations, including Duffing oscillators and Van der Pol oscillators
Module #8 Nonlinear Rotating Systems Nonlinear dynamics of rotating systems, including Jeffcott rotors and whirligig systems
Module #9 Nonlinear Electrical Systems Nonlinear dynamics of electrical systems, including Chuas circuit and voltage-controlled oscillators
Module #10 Nonlinear Mechanical Systems Nonlinear dynamics of mechanical systems, including pendulums and double pendulums
Module #11 Nonlinear Control Systems Introduction to nonlinear control systems, including feedback control and nonlinear observers
Module #12 Stability and Bifurcation Analysis of Nonlinear Systems Advanced topics in stability and bifurcation analysis, including center manifold theory and normal form theory
Module #13 Applications of Nonlinear Dynamics in Structural Engineering Nonlinear dynamics in structural engineering, including buckling and post-buckling analysis
Module #14 Applications of Nonlinear Dynamics in Aerospace Engineering Nonlinear dynamics in aerospace engineering, including nonlinear flight dynamics and attitude control
Module #15 Applications of Nonlinear Dynamics in Electrical Engineering Nonlinear dynamics in electrical engineering, including power systems and electrical networks
Module #16 Applications of Nonlinear Dynamics in Mechanical Engineering Nonlinear dynamics in mechanical engineering, including nonlinear vibration and nonlinear stability analysis
Module #17 Advances in Nonlinear Dynamics Research Recent advances and emerging areas in nonlinear dynamics research, including machine learning and data-driven approaches
Module #18 Computational Project:Nonlinear Dynamics of a Mechanical System Hands-on project to apply nonlinear dynamics concepts to a mechanical system using computational tools
Module #19 Computational Project:Nonlinear Dynamics of an Electrical System Hands-on project to apply nonlinear dynamics concepts to an electrical system using computational tools
Module #20 Computational Project:Nonlinear Dynamics of a Structural System Hands-on project to apply nonlinear dynamics concepts to a structural system using computational tools
Module #21 Case Study:Nonlinear Dynamics in a Real-World Engineering System In-depth analysis of a real-world engineering system exhibiting nonlinear dynamics, including a case study presentation
Module #22 Group Project:Nonlinear Dynamics in Multidisciplinary Engineering Systems Collaborative project to apply nonlinear dynamics concepts to a multidisciplinary engineering system, including a group presentation
Module #23 Review and Practice Problems Review of key concepts and practice problems to reinforce understanding of nonlinear dynamics
Module #24 Midterm Exam Assessment of understanding of nonlinear dynamics concepts covered in the first half of the course
Module #25 Final Project:Applications of Nonlinear Dynamics in Engineering Independent project to apply nonlinear dynamics concepts to a real-world engineering problem, including a final report and presentation
Module #26 Final Exam Comprehensive assessment of understanding of nonlinear dynamics concepts covered in the entire course
Module #27 Research Paper Discussion:Nonlinear Dynamics in Engineering Discussion of recent research papers on nonlinear dynamics in engineering, including applications and advances
Module #28 Guest Lecture:Industrial Applications of Nonlinear Dynamics Guest lecture from industry expert on applications of nonlinear dynamics in real-world engineering systems
Module #29 Review of Nonlinear Dynamics Software Tools Overview of software tools for nonlinear dynamics analysis, including MATLAB, Python, and other specialized software
Module #30 Course Wrap-Up & Conclusion Planning next steps in Nonlinear Dynamics in Engineering career
