Date of Award


Document Type


Degree Name

Master of Science

Degree Discipline



This study is being made in order to establish clearer understandings of the mechanics of fundamentals studied in previous theoretical courses of analysis. It is hoped that there will be developed a greater understanding of the use of the theory of sequences, series and integrals. In fulfilling the objectives, the study shall be presented in three parts: the first part is composed of the understanding and relations of the notions of functions. This is being done in order to establish the theoretical notions of functions so that the advanced notions can be verified from previous concepts. Our second part shall be the examination of relations and mechanics of the basic theorems one will be confronted with in advanced courses With the knowledge of these, we will be able In our third and final secof calculus. to go into our third aspect, tion we will find the important usages of some of the functions and relations of Riemann-Stieltjes Integrals to the Riemann or definite integrals.

Committee Chair/Advisor

Samuel H. Douglass

Committee Member

Samuel H. Douglass


Prairie View Agricultural and Mechanical College


© 2021 Prairie View A & M University

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Contributing Institution

John B Coleman Library

City of Publication

Prairie View





To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.