MATH 4331 - Introduction to Real Analysis I & Math 4332 - Introduction to Real Analysis II - University of Houston
Skip to main content

MATH 4331 - Introduction to Real Analysis I & Math 4332 - Introduction to Real Analysis II

***This is a course guideline.  Students should contact instructor for the updated information on current course syllabus, textbooks, and course content***

- MATH 4331 - Introduction to Real Analysis I -

Prerequisite: MATH 3333.

Course Description: Study of metric spaces and real-valued functions. Topics include: convergence of sequences, continuity and uniform continuity of functions, sequences and series of functions, differentiation, and Riemann-Stiljies integration

Textbook: K. Davidson and A. P. Donsig, Real Analysis with Real Applications. ISBN: 978-0130416476

*Note: This first course  provides a solid introduction to deeper properties of the real numbers, continuous functions, differentiability and integration needed for advanced study in mathematics, science and engineering. It is assumed that the student is familiar with the material of Math 3333, including an introduction to the real numbers, basic properties of continuous and differentiable functions on the real line, and an ability to do epsilon-delta proofs.



- Math 4332 - Introduction to Real Analysis II -

Prerequisite: MATH 4331.

Course Description: Further development and applications of concepts from MATH 4331. Topics may vary depending instructor's choice; possibilities include: Fourier series, point-set topology, measure theory, function spaces, or dynamical systems

Textbook: K. Davidson and A. P. Donsig, Real Analysis with Real Applications. ISBN: 978-0130416476


CSD Accommodations:

Academic Adjustments/Auxiliary Aids: The University of Houston System complies with Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, pertaining to the provision of reasonable academic adjustments/auxiliary aids for students who have a disability. In accordance with Section 504 and ADA guidelines, University of Houston strives to provide reasonable academic adjustments/auxiliary aids to students who request and require them. If you believe that you have a disability requiring an academic adjustments/auxiliary aid, please visit The Center for Students with DisABILITIES (CSD) website at for more information.

Accommodation Forms: Students seeking academic adjustments/auxiliary aids must, in a timely manner (usually at the beginning of the semester), provide their instructor with a current Student Accommodation Form (SAF) (paper copy or online version, as appropriate) from the CSD office before an approved accommodation can be implemented.

Details of this policy, and the corresponding responsibilities of the student are outlined in The Student Academic Adjustments/Auxiliary Aids Policy (01.D.09) document under [STEP 4: Student Submission (5.4.1 & 5.4.2), Page 6]. For more information please visit the Center for Students with Disabilities Student Resources page.

Additionally, if a student is requesting a (CSD approved) testing accommodation, then the student will also complete a Request for Individualized Testing Accommodations (RITA) paper form to arrange for tests to be administered at the CSD office. CSD suggests that the student meet with their instructor during office hours and/or make an appointment to complete the RITA form to ensure confidentiality.

*Note: RITA forms must be completed at least 48 hours in advance of the original test date. Please consult your counselor ahead of time to ensure that your tests are scheduled in a timely manner. Please keep in mind that if you run over the agreed upon time limit for your exam, you will be penalized in proportion to the amount of extra time taken.



Counseling and Psychological Services (CAPS) can help students who are having difficulties managing stress, adjusting to college, or feeling sad and hopeless. You can reach (CAPS) by calling 713-743-5454 during and after business hours for routine appointments or if you or someone you know is in crisis. No appointment is necessary for the "Let's Talk" program, a drop-in consultation service at convenient locations and hours around campus.