The overall evaluation for the mathematics portion of the University of Michigan-Flint library is very good. The current collection more than adequately supports the mathematics program offered by this institution.
The book collection has approximately 2,000 titles in the QA Library of Congress classification section. The median age of the collection falls in the 1970-74 category. This median age is not necessarily indicative of poor collection development or outdated material in the math discipline. Unlike other physical sciences, mathematical information does not become "dated".
The book collection was compared with 2 published list of core mathematics titles for an undergraduate collection: The Books for College Libraries, 3rd edition (1988) published by the American Library Association and Library Recommendations for Undergraduate Mathematics (1992) published by the Mathematical Association of America. The University of Michigan-Flint library has 82% of the titles listed in the Books for College Libraries and 68% of the essential titles listed in the Library Recommendations for Undergraduate Mathematics. As noted on the conspectus worksheets the weaker parts of the collection include probability theory, stochastic processes, mathematical statistics, operations research and mathematical modeling.
The 1997/1998 monographs allocation for the Mathematics Department is $2644. Taking a proportional share of librarians' budgets, plus the reference allocation, yields a weighted total of $3204. This is sufficient to buy approximately 75 books at a discounted average price of $42.58 apiece. This amounts to about 5% of the total domestic publishing output for mathematics, for an AC rating of 2b. Acquiring 10% of the publishing output per year would require a monographs allocation of $6642.
The journal collection represents the mathematics discipline very well. The Library subscribes to 7 of 20 Wilson-indexed mathematics journals (2b), and has Web access to 1 additional title. Only one additional title was recommended to add to the collection: Crux Mathematicorum.
Prepared by Prof. Kenneth E. Schilling, Kui-Bin Im, and Paul G. Streby.
Ratings for Mathematics
CL=Current collection level; AC=Acquisitions commitment; GL=Goal level
|LC class||Line no.||Category||CL||AC||GL||Comments|
|QA 1 - 74, 77 - 100, 163 - 299.5||MAT 001||Mathematics (General)||3b||3b|
|QA 9 - 10||MAT 007||Mathematical Logic||3b||2b|
|QA 150 - 162||MAT 043||Algebra (General)||3a||3b||Very good in linear algebra; poor in matrix theory; probability theory needs work; numerical analysis has many titles but lacks some important ones|
|QA 269 - 272||MAT 054||Game Theory, Games, Gambling||2b||2b|
|QA 273||MAT 055||Probability Theory||2b||3b||Needs work|
|QA 274||MAT 056||Stochastic Processes||2a||2b|
|QA 276 - 280||MAT 058||Mathematical Statistics||2a||3b|
|QA 297 - 299||MAT 060||Numerical Analysis||3a||3b||Many titles present, missing some important ones|
|QA 299.6 - 439||MAT 061||Mathematical Analysis (General)||3b||3b||Differential equations has many titles but lacks some important ones|
|QA 331 - 335||MAT 063||Theory of Functions||2a||2a|
|QA 370 - 381||MAT 064||Differential Equations, Differential Forms||3a||3b||Many titles present, missing some important ones|
|QA 385 - 387||MAT 065||Topological Groups/Lie Groups||3b||3b|
|QA 440 - 699||MAT 066||Geometry (General)||3b||3b|
|QA 564 - 608||MAT 067||Algebraic Geometry, Transformation, Correspondence||2b||2b|
|QA 440 - 699||MAT 069||Algebraic Topology||2a||2a|
|QA 440 - 699||MAT 070||Manifolds, Global Analysis||2a||2a|
|QA 440 - 699||MAT 071||Differential Geometry||2a||2a|
|Non-WLN||Operations Research, Mathematical Modeling||3a||3b||Needs work|
|DIVISION AS A WHOLE||3a/ 3b||2b||3b|
0 -- Out of scope
1 -- Minimal level
1a ---- Minimal level, uneven coverage
1b ---- Minimal level, even coverage
2 -- Basic information level
2a ---- Basic information level, Introductory
2b ---- Basic information level, Advanced (Appropriate for community college students)
3 -- Study or instructional support level
3a ---- Basic study or instructional support level (Adequate to support lower division undergraduate courses)
3b ---- Intermediate study or instructional support level (Adequate to support upper division undergraduate courses; not adequate for master's degree programs)
3c ---- Advanced study or instructional support level (Adequate to support master's degree programs)
4 -- Research level (Adequate to support doctoral research)
5 -- Comprehensive level