PMATH 333
Introduction to Real Analysis
Undated
Topics
- Ordered Fields and Cardinality
- Real Limits, Continuity and Differentiation
- The Riemann Integral
- Sequences and Series of Functions
- Topology in Euclidean Space
- Differentiation in Euclidean Space
- Jordan Content and Integration
Readings
- Chapter 1. Ordered Fields and Cardinality — https://www.math.uwaterloo.ca/~snew/PMATH333/Chap1OrderedFields.pdf
- Chapter 2. Real Limits, Continuity and Differentiation — https://www.math.uwaterloo.ca/~snew/PMATH333/Chap2RealLimits.pdf
- Chapter 3. The Riemann Integral — https://www.math.uwaterloo.ca/~snew/PMATH333/Chap3RealIntegration.pdf
- Chapter 4. Sequences and Series of Functions — https://www.math.uwaterloo.ca/~snew/PMATH333/Chap4SequencesOfFunctions.pdf
- Chapter 5. Topology in Euclidean Space — https://www.math.uwaterloo.ca/~snew/PMATH333/Chap5Topology.pdf
- Chapter 6. Differentiation in Euclidean Space — https://www.math.uwaterloo.ca/~snew/PMATH333/Chap6Differentiation.pdf
- Chapter 7. Jordan Content and Integration — https://www.math.uwaterloo.ca/~snew/PMATH333/Chap7Integration.pdf
- Appendix 1. Calculus Lecture Notes — https://www.math.uwaterloo.ca/~snew/PMATH333/CalculusNotes.pdf
- Appendix 2. Algebra Lecture Notes — https://www.math.uwaterloo.ca/~snew/PMATH333/math145notes.pdf
Sources
- Course catalogue ↗2026–2027
- course_website ↗Undated
- Public lecture-note archive by Stephen New. Topics are the chapter headings in the posted notes; this is not a current-term syllabus. Source term/year not established.