MAT420: Real Analysis

• Syllabus
• Assignments
• Learning Objectives
• Classroom Agreement
• Daily Agendas/Summaries

  Chapter 1: Day 1: Welcome! Day 2: Introductory Notions Day 3: More sets, and function notions Day 4: Function notions Day 5: Function notions, and the Reals Day 6: Properties of the Reals Day 7: More properties of the Reals Day 8: Properties of the Reals, and Infinity Day 9: The reals are complete. Day 10: The reals are complete. Day 11: The reals are complete. Day 11: The reals are complete.

  Chapter 2: Day 13: Sequences of reals. Day 14: Exam 1 Day 15: Sequences of reals. Day 16: Sequences of reals. Day 17: Presentations Day 18: Sequences and subsequences Day 19: Subsequences Day 20: Bolzano-Weierstrass Day 21: Bolzano-Weierstrass Day 22: Bolzano-Weierstrass Day 23: Bolzano-Weierstrass

  Chapter 3: Day 24: Topology of the Reals Day 25: Topology of the Reals Day 26: Topology of the Reals Day 27: Topology of the Reals Day 28: Topology of the Reals Day 29: Topology of the Reals

  Chapter 4: Day 30: Limits and Continuity Day 31: Limits and Continuity Day 32: Limits and Continuity Day 33: Limits and Continuity Day 34: Exam 2 Day 35: Limits and Continuity Day 36: Limits and Continuity Day 37: Take-home Presentations Day 38: Monotone and Inverse Functions Day 39: Monotone and Inverse Functions Day 40: Monotone and Inverse Functions

  Chapter 5: Day 41: The derivative Day 42: The derivative Day 43: Pathological Discontinuities Day 44: Last day

• Graphical overviews of the chapters
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Notes:

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