AMATH/PMATH 331 Applied Real Analysis, Lecture Notes

The Lecture Notes and the Exercises are not yet complete.
Additions and corrections will be made throughout the term.


  Chapter 1. Real Limits, Continuity and Differentiation   Exercises 1   Solutions 1 
  Chapter 2. The Riemann Integral   Exercises 2   Solutions 2 
  Chapter 3. Sequences and Series of Functions   Exercises 3   Solutions 3 
  Chapter 4. Metric Spaces   Exercises 4   Solutions 4 
  Chapter 5. Limits and Continuity in Metric Spaces   Exercises 5   Solutions 5 
  Chapter 6. Completeness and Compactness   Exercises 6   Solutions 6 
  Chapter 7. Some Applications   Exercises 7   Solutions 7 
  Chapter 8. Fourier series   Exercises 8   Solutions 8 
 
  Appendix. Lecture Notes for MATH 137 and MATH 138