AMATH 331
Applied Real Analysis
Undated
Topics
- Real Limits, Continuity and Differentiation
- The Riemann Integral
- Sequences and Series of Functions
- Metric Spaces
- Limits and Continuity in Metric Spaces
- Completeness and Compactness
- Some Applications
- Fourier series
Readings
- Chapter 1. Real Limits, Continuity and Differentiation — https://www.math.uwaterloo.ca/~snew/PMATH331/Chap1RealLimits.pdf
- Chapter 2. The Riemann Integral — https://www.math.uwaterloo.ca/~snew/PMATH331/Chap2Integration.pdf
- Chapter 3. Sequences and Series of Functions — https://www.math.uwaterloo.ca/~snew/PMATH331/Chap3SequencesOfFunctions.pdf
- Chapter 4. Metric Spaces — https://www.math.uwaterloo.ca/~snew/PMATH331/Chap4MetricSpaces.pdf
- Chapter 5. Limits and Continuity in Metric Spaces — https://www.math.uwaterloo.ca/~snew/PMATH331/Chap5LimitsInMetricSpaces.pdf
- Chapter 6. Completeness and Compactness — https://www.math.uwaterloo.ca/~snew/PMATH331/Chap6Completeness.pdf
- Chapter 7. Some Applications — https://www.math.uwaterloo.ca/~snew/PMATH331/Chap7Applications.pdf
- Chapter 8. Fourier series — https://www.math.uwaterloo.ca/~snew/PMATH331/Chap8FourierSeries.pdf
- Appendix. Lecture Notes for MATH 137 and MATH 138 — https://www.math.uwaterloo.ca/~snew/PMATH331/CalculusNotes.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.