Doctoral (PhD) Program in Mathematics and its Applications

Mission

• Advance knowledge in applied and pure mathematics in areas relevant to modern society technology.
  

• Foster critical and creative thinking, enhance the vitality of the society by educating scholars who are successful and influential in their home countries.

Motto

The mind is not a vessel to be filled but a fire to be kindled. (Plutarch)

Intended Outcomes

1. Graduates will understand and be capable of applying advanced mathematical methods at the highest professional level of rigor.

2. Graduates will be trained in critical, integrative, and evaluative thinking at the highest professional level of rigor. Graduates will be able to conduct research effectively in applied mathematics in a collaborative environment.

3. Graduates will have advanced communication skills oriented towards academic professionals. Graduates will be prepared to provide leadership and expertise at local, state, national and international levels for applications and improvement of applied mathematics.

Assessment of Expected Outcomes

1. Graduates will understand and be capable of applying advanced mathematical methods at the highest professional level of rigor.

(a) all graduates successfully complete a rigorous sequence of advanced courses in mathematics with a minimal passing grade

(b) pass a comprehensive examination by the end of their first year in algebra, real analysis and complex function theory (pass/fail)

(c) pass a candidacy examination in the area of the close topics of the thesis (pass/fail)

(d) pass the thesis defense with an original contribution to the knowledge and understanding of the chosen area of mathematics.

2. Graduates will be trained in critical, integrative, and evaluative thinking at the highest professional level of rigor. Graduates will be able to conduct research effectively in applied mathematics in a collaborative environment.

(a) read and review the literature in area of study in such a way that reveal a comprehensive understanding of the literature: grades for reading courses measure acquired skills;

(b) identify research questions/problems that are pertinent to a field of study and provide a focus for making a significant contribution to the field, as studied in research seminars;

(c) interpret research results in a way that adds to the understanding of the field of study;

(d) do original research in an important area of applied mathematics.

3. Graduates will have advanced communication skills oriented towards academic professionals. Graduates will be prepared to provide leadership and expertise at local, state, national and international levels for applications and improvement of applied mathematics.

(a) all graduates write a dissertation: an evaluation of each student's writing skills as demonstrated in the dissertation;

(b) the oral communication skills of the graduate are critically evaluated at the three examinations; the most significant indicator is the result of the presentation and defense of the student's finished dissertation research.