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 dynamical systems.
• Knowledge of the concrete dynamical systems presented in during the course.
• Understanding of the many and diverse appearances and applications of dynamical systems.
   

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

• Analyze and qualified argue for results on dynamical systems.
• Produce proofs for theorems in line with those appearing in the course.
• Solve exercises posed during the course.

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