Introduction to Dynamical Systems

Knowledge:
By the end of the course the student is expected to have:

• In depth knowledge of fundamental results and methods in discrete dynamical systems.
• Knowledge of the concrete dynamical systems presented in during the course.
• Understanding of the many and diverse appearances and applications of discrete dynamical systems.
   

Skills:  
By the end of the course the student is expected to be able to 

• Analyze and qualified argue for results on discrete dynamical systems.
• Produce proofs for theorems in line with those appearing in the course.
• Solve exercises posed during the course.
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Competencies:  
By the end of the course the student is expected to be able to 

• Follow and reproduce arguments and applications of abstract notions and concepts from discrete dynamical systems.
• Produce proofs of simple results at the level of the course.
• Use the introduced abstract concepts on concrete problems.
• Discuss topics from discrete dynamical systems.
• Explain how discrete dynamical systems and results about dynamical systems enter in various applications.