Department of Mathematics 2002 – 2007 Cycle

College of Science

Program Planning Committee Report to the Provost

October 15, 2010

The Department of Mathematics offers a BA (including a pattern for teacher preparation), a BS, an MA, and an MS with three concentrations for the BS and two concentrations for the MA. In addition they offer a minor. The degrees are:

BA Math

BA Math, Preparation for Teaching

BS Applied Mathematics, concentration in Applied and Computational Mathematics

BS Applied Mathematics, concentration in Economics and Actuarial Science

BS Applied Mathematics, concentration in Statistics

MS Mathematics

MA Mathematics

MA Mathematics, concentration in Mathematics Education

Minor in Mathematics

Approx 93% of Math FTES is in service courses to other majors

The Program Planning Committee commends the Department of Mathematics on a thoughtful, informative, and well-written self study. The report itself and the excellent external reviewer’s report highlight the quality of the department, and the strength and appropriateness of the degrees offered. In addition, they make clear that most of the department’s teaching efforts are directed toward serving the university and other specific majors. It is particularly impressive to see the attention and effort that the department has put into addressing the low pass rates in some of these courses. Another impressive feature of the department was the gender and ethnic diversity of the faculty relative to the data on Ph.D.s earned in mathematics in the US, and the gender and ethnic diversity of the students relative to the national statistics on math majors.

The self study and the external reviewer report both highlight challenges that are the result of the relatively small number of majors in both the undergraduate and graduate programs. Of particular concern was the limitations on offering a sufficient variety of courses frequently enough to meet students’ needs. In this time of impaction and enrollment management it would seem that an analysis that tried to establish the minimal viable size for both the undergraduate and graduate programs would be useful. In addition, enrollment dictates that certain courses must be offered less frequently than once a year, some departments have found it effective to publish a two-year anticipated schedule of course offerings so students can plan ahead to be able to take the courses they want or need.

The College report highlights the progress made in establishing an Assessment Plan. The mathematics department has made good progress on Goal 3: Students will be able to Perform Standard Mathematical Computations. Workshops supported by a grant show improved pass rates for students in calculus and pre-calculus, both of which serve many departments in the University in addition to serving math majors. The department needs to move beyond this goal, both in assessing student performance on other goals, and in assessing student performance on the specific learning objectives within Goal 3:

  1. Ability to evaluate limits
  2. Ability to calculate derivatives and integrals
  3. Ability to determine regions of convergence
  4. Ability to apply properties of algebraic and transcendental functions

Besides the program plan, the Committee read archived assessment reports to evaluate the state of student assessment in mathematics programs.

Based on public reports it appears that no faculty are involved in assessment of the BS program and few are involved in assessment of calculus and pre-calculus, major service courses for the department. These service courses are measured at the level of course grades only. Reports for the MS only say that assessment is done, with no process, data, or results reported. All faculty members should participate in assessment of student learning.

Many departments are doing more for assessment than can be determined from the reports. It may well be that far more assessment is being done in the Math department than has been made public. For the good of the University, and the department, reporting specifics of faculty expectations and student performance is essential.

Because much of the Mathematics Department’s teaching efforts is provided as a service to other majors, an additional source of indirect evidence of student learning could be obtained by surveying the faculty in the departments that depend on Mathematics to provide their students needed skills.

The final step in the program planning process is a meeting with Provost Selter (or his designee), AVP of Undergraduate Studies Jaehne, AVP of Graduate Studies and Research Stacks, Dean Parrish, Department Chair Brad Jackson, and AVP of Institutional Research Sutee Sujitparapitaya. The Chair may invite directors of programs within the department. The department should contact staff in the Office of Undergraduate Studies to schedule the final meeting. The following topics for discussion are summarized from the reports:

  • Determining the appropriate number of majors for the undergraduate and graduate programs and strategies for attaining those numbers.
  • Strategies for encouraging participation in research by both undergraduate and graduate students.
  • Implications of not being able to follow the five-year hiring plan that was presented in the self study.
  • Strategies for dealing with space limitations, particularly space for students.
  • Issues concerning the relation of the Mathematics Education faculty to the rest of the Mathematics faculty.
  • Collaboration with departments your courses service

If the Department wants to propose other issues for the meeting, please discuss the appropriateness of the topics with Dean Parrish.

The Program Planning Committee recommends acceptance of the Program Plan. The Program Plan provided a good examination of the issues and explanation of plans for subsequent reviewers. The next Program Plan for all programs in the department is due to the College Dean in spring 2013

Fall 2010 members:

Debra Caires, Chair / Lisa Oliver / Shailaja Venkatsubramanyan
Elaine Collins / Tina Peterson / Ashwini Wagle
Robert Cooper / Annabel Prins / Chunlei Wang
Beverly Grindstaff / Jackie Snell / Wenbin Wei
Xiaolu Hu / Pam Stacks / Charles Whitcomb
Dennis Jaehne / Gary Stebbins / Yasue Kodama Yanai
Susan McNiesh / Sutee Sujitparapitaya

CC: Brad Jackson, Chair, Department of Mathematics

Michael Parrish, Dean, College of Science

Herbert Silber, Associate Dean, College of Science

Malu Roldan, Chair, Curriculum and Research

Dennis Jaehne, AVP Undergraduate Studies

Pam Stacks, AVP Graduate Studies and Research

Charles Whitcomb, Vice Provost for Academic Administration & Personnel

Sutee Sujitparapitaya, AVP Institutional Research

Appendix

Department of Mathematics Program Plan, March 2007

The Department of Mathematics provides remedial math instruction, GE math courses, higher-level math service course for other disciplines, and undergraduate and graduate degree programs. It offers a BA (including a pattern for teacher preparation), a BS, an MA, and an MS with three concentrations for the BS and two concentrations for the MA.

Faculty

There were 32 tenured/tenure-track faculty, 4 faculty on FERP, and 30 part-time faculty at the time of the Program Plan. Of the T/TT faculty (including FERPs), there were 25 professors, 4 associate professors, and 7 assistant professors. Roughly a third of the T/TT faculty were women, and 20% were minorities. This is above the US average for doctorates in math for both categories. All of the developmental math classes and 20% to 25% of the other math classes are taught by part-time instructors. Their five-year hiring plan proposed one new TT hire for each of the five years following completion of the Program Plan. Probationary faculty have a nine-unit teaching load. Tenured faculty can opt to teach somewhat larger classes (40 rather than 35) and reduce their annual load to 7 sections rather than 8, and since active researchers also often receive 3 units of assigned time for research, many also enjoy a 9-unit teaching load per semester.

Students

Mathematics has the highest FTES in the College of Science. It peaked in 2001 at 1426, fell to 1050 in 2005, and has recovered to about 1150 in fall 2010. Because of its large service function, most of the FTES are lower division. In the period 2001 to 2005 the number of undergraduate majors increased from 108 to 136, and graduate majors from 29 to 43. In fall 2009 the numbers were 100 and 35 respectively. Like the faculty, the majors are diverse with respect to gender and ethnicity: approximately 44% female and 33% ethnic minorities. The FTES generated by the department are spread across a variety of different types of classes: Developmental math 24% - 28%, GE and Quantitative Literacy 3% to 8%, Precalulus/calculus 28% to 33%, Business and Economics majors 9% to 12%, Physics, Computer Science, Computer Engineering, and ISE majors 10% to 16%, Math Education 6% to 9%, Upper division math majors 5% to 6%, and Graduate 1% to 1.5%.

Assessment

The department has established a set of learning goals for each of the degrees offered. The assessment plan is to assess specific goals within specific required classes. They have established a schedule for when the BA and BS goals are to be assessed. It is unclear how student learning is actually measured.

Curriculum

The Mathematics Department continues to modify and expand its curriculum to meet student and societal demands. The BSconcentration in Applied and Computational Mathematics has been modified to conform more closely to the Society for Industrial and Applied Mathematicians guidelines. A new concentration under this degree in Economics, Finance, and Actuarial Science has been added. The department has added one-unit workshops to the pre-calculus/calculus courses to increase passing rates.

Concerns Raised

The Department is concerned about space which they judge to be inadequate both for faculty (who share offices) and students (who have too little space for activities like the Math club). The Program Plan also documents concern about there being too little budget to meet demand for developmental courses and courses required by other majors.

External Reviewer Report: Sheldon Axler, April 2009

Dr. Axler was very complimentary of the quality of the Mathematics faculty, the quality of the curriculum, and the ongoing progress that the department has been making. He felt that there is generally a very positive feeling among the faculty and students in the Department. He had many very specific comments and recommendations.

Teaching load

He was very positive about the 9 unit teaching load for assistant professors. He noted that an even lower load would be better, but in the context of the standard CSU load he thought this use of resources was well worth it. Similarly, he was also positive about the trade off of 9 larger classes and more research activity which allows a 9 unit load for many tenured faculty.

Students opinions and concerns

Dr. Axler noted that students were happy with instructors (both quality of instruction and attitude toward students) and the quality of the advising they received. However, students expressed dissatisfaction with the number of undergraduate and graduate classes offered, and with the fact that some classes must be cancelled because of under-enrollment. Dr. Axler recommended recruiting more majors and graduate students to solve the course problem, particularly grads because courses are on edge of viability given current enrollment. He suggested using lower division courses that are service to other majors for identifying students with talent in mathematics who might be recruited to the major.

Student Research

Dr. Axler argued that undergraduates and graduates alike should be involved in more research. He noted that, except for the Center for Applied Mathematics, Computation, and Statistics (CAMOS), students are not encouraged or involved in research.

Space

Dr. Axler noted that shared offices leads to faculty not coming to campus. Students need bigger space for Math club, and other activities.

Colloquia and Seminar series

Dr. Axler argued that the Department needs to take a more proactive role in encouraging both students and faculty to attend the weekly colloquium. He suggested a weekly seminar series for faculty and students to foster the emphasis on applied math.

Curriculum

Dr. Axler applauded the one-unit supplemental workshops for Math 19, 30P, and 31, and noted this approach has been successful elsewhere in improving passing rates. He suggested appointing a coordinator for each multi-section course to increase comparability across sections and to assure quality. He also suggested that the department might start using on-line grading systems that are available for many of the standard service courses. He urged caution about offloading developmental math to the community colleges. The only course he thinks it is appropriate to offload to computer science faculty is Discrete Math (Math 42).

Relation between Mathematics Education faculty and other Mathematics faculty

Dr. Axler noted that there are some feeling among the Math Ed faculty of estrangement and lack of respect from the rest of the faculty, and that workload is not equitably divided among the two groups. To better integrate the Math Ed group with the rest of the department he suggests using their expertise to improve instruction throughout the math department. This could include the training of teaching assistants.

Opinions from outside the department

Dr. Axler noted that the other chairs are pleased with math department.

College Committee Report, November 2009

The College Committee was positive about the Mathematics department. They did not raise any points that were not raised in Dr. Axler’s report; however, they highlighted a few of them:

  1. They were very positive about the 1-unit workshops for the calculus sequence.
  2. They praised the learning goals the Department has established for their majors, the assessment plan, and noted that that some changes have been instituted based on assessment.
  3. Like the Department and Dr. Axler, they noted the need to recruit when funds become available.
  4. They were positive about the strategy suggested by Dr. Axler of recruiting more majors from lower division classes.
  5. They agreed with the need for more encouragement of students to participation in research.
  6. They agreed that the concerns of the math education faculty need to be addressed.

Dean’s Report, November 2009

The Dean wrote a brief memo that noted the Mathematics Department had written a good Program Plan and highlighted three of Dr. Axler’s comments:

  1. The small size of grad program is a problem and needs to be addressed.
  2. Other than CAMCOS, there are few opportunities for undergrad or grad research, and both opportunities and encouragement need to be increased.
  3. There is inadequate space, a problem shared with other departments in the college.

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