01:640:312 - Introduction to Real Analysis II

Course Description (Catalog Copy)

01:640:312 Introduction to Real Analysis II (3) 
Continuation of Math 311.
Prerequisites: Math 311.


Textbook:  For current textbook please refer to our Master Textbook List page


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

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 definitionsunderstand proofsanalyze conjecturesfind 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

Past Semesters

  • Spring 2009. Prof. Beals

Taught Spring Semester

Schedule of Sections

Disclaimer: Posted for informational purposes only

This material is posted by the faculty of the Mathematics Department at Rutgers New Brunswick for informational purposes. While we try to maintain it, information may not be current or may not apply to individual sections. The authority for content, textbook, syllabus, and grading policy lies with the current instructor.

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.