Course description

Advanced Analysis is a specialized course designed to enhance analytical skills for solving complex problems across various domains. It focuses on advanced methodologies, statistical modeling, and data interpretation techniques. Students will explore real-world scenarios, leveraging tools like machine learning and simulation models. The course emphasizes critical thinking, decision-making, and innovative problem-solving approaches. It is ideal for professionals in research, data science, and strategic planning.

What will i learn?

• Understand the Euclidean distance function on Rn and appreciate its properties, and state and use the Triangle and Reverse Triangle Inequalities for the Euclidean distance function on Rn
• Explain the definition of continuity for functions from Rn to Rm and determine whether a given function from Rn to Rm is continuous
• Explain the geometric meaning of each of the metric space properties and be able to verify whether a given distance function is a metric
• Distinguish between open and closed balls in a metric space and be able to determine them for given metric spaces
• Define convergence for sequences in a metric space and determine whether a given sequence in a metric space converges