Course Title: Introduction to Real Analysis
Course Number: MATH 5210 - 1
Instructor: Andrejs Treibergs
Home Page: http://www.math.utah.edu/~treiberg/M5211.html
Place & Time: M, T, W, F, 2:00 - 2:50 pm in BEH S 106. (Live in person. Will also be ZOOM on line)
Office Hours: 11:45 - 12:45 M, T, W, F. (please email)
E-mail:
Prerequisites: "C" or better in Math 3220 or consent of instructor.
Main Text: Robert S. Strichartz, The Way of Analysis, Revised Edition, Jones & Bartlett, 2000
ISBN-13 978-0-7637-1497-0; ISBN-10: 0-7637-1497-6
Additional Texts:Annotated list of additional texts.
       Vilhelm Purvitis, Ziema (c. 1910)

 

 

Math 5410 - 1 Syllabus, pdf.

Math 5410 - 1 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 chapters

  • Chapter 2 - Review Real Numbers
  • Chapter 9 - Metric Spaces
  • Chapter 10 - Various Applications, such as
  • Chapter 11 - Differential Equations
  • Chapter 12 - Fourier Series
  • Chapter 13 - Implicit Functions
  • Chapter 14 - Lebesgue Integral
  • Chapter 15 - Multiple Integrals


Last updated: 12 / 21 / 21