189-255B, Analysis II

Winter 2002

• Instructor: Dmitry Jakobson
  Office: BURN 1212. Phone: 398-3828. Email: jakobson@math.mcgill.ca
  Office hours: Monday 1-2pm, Wednesday 10:30-11:30am, or by appointment
• Teaching Assistant: Robert Masson
  Email: rmasso@po-box.mcgill.ca
• Lectures: Monday, Wednesday, Friday 9:30-10:30, Burnside 1B2
• Syllabus: Riemann integral, Fundamental Theorem of Calculus. Sequences of functions, pointwise and uniform convergence, interchange of limits, the exponential, logarithmic and trigonometric functions. Infinite series, absolute convergence, series of functions. Point set topology: open and closed sets, compact sets, continuous functions, metric spaces. Lebesgue theory of integration (if time permits).
• EXAMS
  In-class MIDTERM (held on Wednesday, March 6, during the usual lecture time), Solutions: postscript, pdf.
  Take-home MIDTERM: postscript, pdf; additional problem: postscript, pdf. Given out on Monday, March 4, and due on Monday, March 11, at 1pm.
  Both midterms cover Chapters 7 and 11 of the textbook and are worth 25% of the final grade. You can attempt both midterms; your mark will be the highest of the two scores.
  In-class FINAL: April 29 at 2pm, Arts building.
  Take-home FINAL: postscript, pdf; given out April 15, due April 24.
  Both finals cover Chapters 7,8,9 and 11 of the textbook and are worth 55% of the final grade. You can attempt both finals; your mark will be the highest of the two scores.
• Text: G. Bartle and R. Sherbert, "Introduction to Real Analysis", 3rd ed.
• Grading: Final grade = Max[Final, .55*Final + .25*Midterm + .2*Assignments]
• Books on reserve at Schulich (formerly PSEG) library:
  R. Bartle and D. Sherbert, "Introduction to real analysis."
  M. Protter, "Basic elements of real analysis."
  W. Rudin, "Principles of mathematical analysis."

Assignments

Handouts

Other Web Resources