Real Analysis (Math 105A)

The basic concepts of one-variable calculus are treated rigorously. Set theory, the real number system, numerical sequences and series, continuity, differentiation.

Prerequisites

• Math 22 or 23B
• Math 100 or CSE 101

Resources

• FAQ
• Syllabus
• Textbook

Homeworks

• Homework 1
• Homework 2
• Homework 3
• Homework 4

The sequence ${x_n}$ converges to $L$ if the following holds:

\[\forall \varepsilon > 0, \exists N \in \mathbb N:\ \forall n > N, |x_n - L| < \varepsilon\]