Description:

The course 'HCC-V: Theory of Real Function & Introduction to Metric Spaces' provides a comprehensive understanding of real functions and their properties, along with an introduction to metric spaces. Students will delve into the theory of real functions, exploring topics such as continuity, differentiability, and integration. Additionally, they will be introduced to metric spaces, including concepts like open and closed sets, completeness, and connectedness.

Key Highlights:

• Thorough exploration of real functions
• In-depth understanding of continuity, differentiability, and integration
• Introduction to metric spaces and their properties
• Study of open and closed sets
• Comprehension of completeness and connectedness in metric spaces

What you will learn:

• Theory of Real Functions
  In this module, you will gain a solid foundation in the theory of real functions, covering concepts like continuity, differentiability, and integration. You will learn about important theorems and techniques related to real functions.
• Introduction to Metric Spaces
  This module will introduce you to the fundamental concepts of metric spaces. You will study topics such as open and closed sets, completeness, connectedness, and compactness. Through practical examples, you will develop a deep understanding of metric spaces.