In 1956 he received his PhD in mathematics from the University of Wisconsin–Madison under the Supervision of Associate Professor William F. Eberlein for the thesis "On the Weak Compactness in Functional Analysis".

[2] With his PhD in pure mathematics, Wymore started his career in industry for two years.

[3] In 1956 he joined the faculty of University of Arizona, where in 1957 he established Universities first computing center, and the department of Systems and Industrial Engineering[1] as part of the College of Engineering.

Wymore became the first Chairman of Systems and Industrial Engineering (SIE) Department at the University of Arizona.

He was also one of the first Fellows of the International Council on Systems Engineering (INCOSE).