Unit 1: Linear vs. Nonlinear Systems
Unit 2: Introduction to Chaos Theory
Unit 3: Applications Across Disciplines
Nonlinear Dynamics for Lecturers: Lyapunov Exponents, Embedding Dimension, Fractal Dimension, and Deep Learning Applications
Empower lecturers with the tools and knowledge to teach nonlinear dynamics, chaos theory, and deep learning applications through hands-on techniques and real-world examples.
Unit 1: Introduction to Lyapunov Exponents
Unit 2: Calculating Lyapunov Exponents with Software
Unit 3: Fractal Dimensions: Concepts and Computation
Unit 4: Applying Fractal Dimensions in Practice
Unit 1: Introduction to Phase Space Reconstruction
Unit 2: Determining the Embedding Dimension
Unit 3: Implications of Embedding
Unit 1: Introduction to Deep Learning for Time Series
Unit 2: RNNs for Time Series Prediction
Unit 3: Reservoir Computing for Time Series
Unit 4: Advanced Topics and Applications
Unit 1: Curriculum Integration Strategies
Unit 2: Assignment and Project Design
Unit 3: Evaluating and Communicating Research