A Course in Real Analysis/Chapter 1 Real axioms

Section 1: Skipping the Constructions

1. Video 0000: Introduction to the Course
2. Video 0001: Group Axioms
3. Video 0002: Rings and Fields
4. Video 0003: Orders
5. Video 0004: Bounds
6. Video 0004.1: Bounds of Subsets
7. Video 0005: Ordered Fields
8. Video 0005.1: Algebraic theorems for sups and infs
9. Video 0006: Completeness and axioms

Section 2: Properties of Real Numbers

1. Video 0007: Basic theorems for $ℝ$ and $\mathbb{N}$
2. Video 0008:
3. Video 0009:
4. Video 0010:
5. Video 0011:
6. Video 0012:
7. Homework set 1