My notes for when I took this course in Fall 2025, taught by Kendric Schefers through Baby Rudin.
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💡
Please submit any errors you might find in the errata, thank you!
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Phoenix Wilson
Course by Week
| Week |
Topics |
| 1 |
Motivation, Ordered Sets |
| 2 |
Fields, The Real Numbers |
| 3 |
Cardinality |
| 4 |
Metric Spaces |
| 5 |
Closure, Open Covers, Compactness |
| 6 |
Connectedness, Sequences |
| 7 |
Subsequences, lim-inf and lim-sup |
| 8 |
Cauchy Sequences |
| 10 |
Series |
| 11 |
Limits of Functions, Continuity, Uniform Continuity |
| 13 |
One-Sided Limits, Discontinuity, Monotonicity, Limits at Infinity |
| 14 |
Differentiation |
| 15 |
Integration |
Motivation, Ordered Sets
Fields, The Real Numbers
Cardinality
Metric Spaces
Closure, Open Covers, Compactness
Connectedness, Sequences
Subsequences, lim-inf and lim-sup
Cauchy Sequences
Series
Limits of Functions, Continuity, Uniform Continuity
One-Sided Limits, Discontinuity, Monotonicity, Limits at Infinity
Differentiation
Integration