Real Analysis aka Advanced Calculus Topics

Advanced Calculus Topics

You will need strong knowledge of definition from algebra and calculus courses thought in USA. We will be going over several definition, understand each term and proceed with actual definition and proper way of understanding them. Once these are done, I will be working on lectures and videos with examples for most of the theorems. These examples will be taken from various college level text-books and written in my own way of proving a math theorem or statement. It is therefore important to get all the definition made clear and know what each theorem means.

What you’ll learn

  • BE able to prepare for Real Analysis courses.
  • Advanced Calculus.
  • Be able to write proofs.
  • Try the examples to be more efficient.

Course Content

  • Introduction –> 5 lectures • 1hr 9min.

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Requirements

  • No programming no calculator.

You will need strong knowledge of definition from algebra and calculus courses thought in USA. We will be going over several definition, understand each term and proceed with actual definition and proper way of understanding them. Once these are done, I will be working on lectures and videos with examples for most of the theorems. These examples will be taken from various college level text-books and written in my own way of proving a math theorem or statement. It is therefore important to get all the definition made clear and know what each theorem means.

This course is designed to help students understand and be able to write all the math definition they have learned all throughout high-school and college prior to going into Advanced level math. As most students may be aware, if you plan to go further into math, we are more interested to show others how we can prove a theorem and not just being able to solve a problem. For instance, we all know that even numbers are multiples of 2 to any given integers. In this series of courses, you will first learn the definition of even numbers and be able to understand each term in that definition. Only then you are able to prove something.

Let’s have fun.