*Unit:*Mathematics

*Program:*Mathematics (PhD)

*Degree:*Doctorate

*Date:*Thu Oct 15, 2009 - 9:53:47 pm

### 1) List your program's student learning outcomes (SLOs).

Graduate students in the UHM mathematics program should learn the fundamental results and methods of modern algebra, real and complex analysis. They should learn mathematics from a variety of fields. Most importantly, they should learn to think, do research, and write mathematics independently.

The graduate mathematics core for the masters degree is reflected in the contents of Math 611-612 (abstract algebra) , Math 631 (real analysis) and Math 644 (complex analysis). Doctoral candidates are also responsible for Math 632 (real analysis 2). The topics in the core are the subject of the algebra and analysis comprehensive exams for PhD students.

The breadth requirement is reflected in the requirement of additional courses. Each student's graduate adviser ensures that a variety of appropriate topics are studied.

The student is expected to master an area of specialization. Research in this special area forms the topic for the masters paper or doctoral dissertation. For PhD candidates, there is also a specialty exam in the chosen area.

### 2) Where are your program's SLOs published?

Student Handbook. URL, if available online:

Information Sheet, Flyer, or Brochure URL, if available online:

UHM Catalog. Page Number:

Course Syllabi. URL, if available online:

Other:

Other:

### 3) Upload your program's current curriculum map(s) as a PDF.

### 4) What percentage of courses have the course SLOs explicitly stated on the course syllabus, department website, or other publicly available document? (Check one)

1-50%

51-80%

81-99%

100%

### 5) State the SLO(s) that was Assessed, Targeted, or Studied

The whole program is reviewed each term by the graduate committee.

### 6) State the Assessment Question(s) and/or Goal(s) of Assessment Activity

The goal is to modernize the program, while retaining our strength in traditional mathematics.

### 7) State the Type(s) of Evidence Gathered

Program reviews and discussions are in the American Mathematical Society Notices. Discussions with graduate chairs at other institutions were held at meetings.

### 8) State How the Evidence was Interpreted, Evaluated, or Analyzed

The graduate committee devotes at least one meeting per term to program evaluation and planning.

### 9) State How Many Pieces of Evidence Were Collected

Does not apply.

### 10) Summarize the Actual Results

The language requirement was reduced to one language (of French, German, Russian) as that is now the national standard.

### 11) Briefly Describe the Distribution and Discussion of Results

These results are reported on and discussed at faculty meetings.

### 12) Describe Conclusions and Discoveries

Described above.

### 13) Use of Results/Program Modifications: State How the Program Used the Results --or-- Explain Planned Use of Results

Additional program modifications are being discussed in our long-range plans.

### 14) Reflect on the Assessment Process

Nothing.