Course Title: Introduction to Real Analysis
Course Number: MATH 5210 - 2
Instructor: Andrejs Treibergs
Home Page: http://www.math.utah.edu/~treiberg/M5212.html
Place & Time: M, T, W, F, 10:45 - 11:35 in JWB 333. (Live in person. Will also be ZOOM on line)
Office Hours: 11:45 - 12:45 M, W, F. (please email)
E-mail:
Prerequisites: "C" or better in Math 3220 or consent of instructor.
Main Text: N. L. Carothers, Real Analysis, Cambridge University Press, 2000
ISBN-13: 978-0-5214-9756-5 ISBN-10: 0-5214-9756-6
Free online through the Libraries website:
https://www.cambridge-org.eproxy.lib.utah.edu/core/books /real-analysis/16AF2A6DBD1980FA0C18C417843AA867
Additional Texts:Annotated list of additional texts.

      

 

 

Math 5410 - 2 Syllabus, pdf.

Math 5410 - 2 Homework

Supplementary Material, Solutions to Tests

The main topics covered in this one semester course in analysis are the construction of the real numbers, metric spaces, and the Lebesgue integral.

Topics: We will cover most or all of the following topics

  • Construction of Real Numbers
  • Metric Spaces
  • Various Applications
    • Differential Equations
    • Fourier Series
    • Implicit Functions
  • Lebesgue Integral
  • Multiple Integrals


Last updated: 12 / 26 / 24