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Dalhousie University
Mathematics and Statistics

Bernhard Riemann
(1826-1866) 		           

Intermediate Analysis

MATH-3500

Dalhousie University
Department of Mathematics and Statistics
            
Stefan Banach
(1892 - 1945)
Some mathematicians who put their stamp on analysis have been posted, with portraits and biographies.
  • Basic Information: Fall Term:
    • Instructor: C.C.A. Sastri
    • Office: Chase Building Room 324; ph.: 494-8854
    • Office hours: M-W 11:30 - 12:30; Tues. 2:30 - 3:30 p.m.
    • Class time: M-W-F, 2:30 - 3:30 p.m.
    • LSC 234

  • Basic Information: Winter Term:
    • Instructor: Karl Dilcher
    • Office: Chase Building Room 325; ph.: 494-3784
    • Office hours: M-W-F, 1:00 - 2:00 p.m.
    • Class time: M-W-F, 2:30 - 3:30 p.m.
    • Dunn 221-C (note different classroom!)

  • Textbook:
      A Course in Modern Analysis and Its Applications
      by Graeme Cohen
      Cambridge University Press

  • Prerequisites:
      MATH 2135.03, 2505.03

  • Calendar entry:
      MATH 3500.06 continues the analysis sequence begun in MATH 2505.03. Topics include: number systems, metric spaces, compactness, continuous functions on metric spaces, Stone-Weierstrass theorem, Arzela-Ascoli theorem, sequences and series of functions and their properties, inverse and implicit function theorems, extrema, co-ordinate transformations.

      NOTE: Students taking this class must register in both X and Y in consecutive terms; credit will be given only if both are completed consecutively.

  • Course content
    This course is a direct continuation of MATH-2505, and will basically continue where that course ended. However, while 2505 dealt with analysis in the reals, this course will (after a brief review) deal mainly in a more general setting of Euclidean spaces and metric spaces. In the Fall, Chapters 2 through 5 of the text will be covered. In the Winter, further chapters will be covered, with the exact content yet to be determined.

  • Evaluation:
    • Assignments: 25%
    • Three tests (2 in the Fall, 1 in the Winter): 15% each
    • Final exam: 30%

  • Assignments:
Last update: January 18, 2005