Mathematics Department - Math 312 - Introduction to Real Analysis II

Math 312 - Introduction to Real Analysis II

Course Description (Catalog Copy)

01:640:312 Introduction to Real Analysis II (4)
Continuation of Math 311.
Prerequisites: Math 311.


Textbook chosen by instructor


Syllabus varies with instructor. For Spring 2008, 2009:

  • Riemann Integration on compact intervals of R
  • Measure Theory in R
  • Lebesgue Integration on R
  • Infinite series of numbers
  • Power series and Taylor series
  • Convergence of sequences and series of functions
  • Fourier Series

Schedule Archives

Fall 2018 Schedule

Taught Spring Semester

Course goals

  • Greatly strengthening student's understanding of
    • the results of calculus and the basis for their validity
    • the uses of deductive reasoning
  • Increasing the student's ability to
      understand definitions
      understand proofs
      analyze conjectures
      find counter-examples to false statements,
      construct proofs of true statements
    • Provides a solid foundation for honors courses, especially Math 411
  • Enhancing the student's mathematical communication skills

Previous Semesters

  • Spring 2009. Prof. Beals

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Information posted prior to the beginning of the semester is frequently tentative, or based on previous semesters. Textbooks should not be purchased until confirmed with the instructor. For generally reliable textbook information—with the exception of sections with an alphabetic code like H1 or T1, and topics courses (197,395,495)—see the textbook list.

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