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College of Liberal Arts and Sciences |
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Courses |
MathematicsChair: Yi LiProfessors: Daniel D. Anderson, Victor P. Camillo, Raúl Curto, Charles D. Frohman, Juan Gatica, Fred Goodman, Weimin Han, Norman L. Johnson, Palle Jorgensen, Surjit S. Khurana, William A. Kirk, William H. Klink, Philip C. Kutzko, Yi Li, Bor-Luh Lin, David Manderscheid, Paul S. Muhly (Mathematics/Statistics and Actuarial Science), George C. Nelson, Florin Radulescu, Richard Randell, Dennis M. Roseman, Jonathan K. Simon, David Stewart, Gerhard O. Strohmer, Keith D. Stroyan, Tuong Ton-That, Lihe Wang, Ying-Qing Wu, Yangbo Ye Professors emeriti: Kendall E. Atkinson, Nguyen P. Cac, Kent R. Fuller, Herbert W. Hethcote, Eugene W. Johnson, Erwin Kleinfeld, Eugene W. Madison, Margaret Kleinfeld, Harold L. Schoen, Marilyn Zweng Associate professors: Richard Baker, Frauke Bleher, Oguz Durumeric, Laurent Jay, Tong Li, Walter Seaman Associate professors emeriti: Michael A. Geraghty, John P. Lediaev Assistant professors: Bruce Ayati, Rodica Curtu, Isabel Darcy, Hao Fang, Muthukrishnan Krishnamurthy, Colleen Mitchell, Julianna Tymoczko Assistant professor emerita: Matilde Macagno Undergraduate degrees: B.A., B.S. in Mathematics Undergraduate nondegree program: Minor in Mathematics Graduate degrees: M.S., Ph.D. in Mathematics Web site: http://www.math.uiowa.edu Mathematics is a basic tool for understanding modern society as well as a crucial requirement for many careers in science, engineering, business, and the professions. Research in this living, dynamic subject is at the highest level in history. An undergraduate degree in mathematics prepares students for a variety of careers in government and business, for secondary teaching, for graduate study, and with proper planning, for a variety of professional programs. Graduate study is advisable for some business and governmental positions and for college and university teaching and research. Undergraduate ProgramsThe department offers a Bachelor of Science, a Bachelor of Arts, and a minor in mathematics. Students seeking either the B.A. or B.S. enroll in one of three programs: Program A is for students who plan to work in business or government or pursue graduate study in mathematics; program B is for students who seek secondary school teaching licensure; and program C is for those seeking specialization in a math-related area, such as actuarial science, biomathematics, business, computer science, economics, physics, statistics, and so forth. Program C may be especially appropriate for students who plan to seek a math-related job after earning a B.A. or B.S. in mathematics, rather than going on to graduate study.Students may choose to combine a degree in mathematics with one in computer science, statistics, actuarial science, or other disciplines. All students working toward Department of Mathematics undergraduate degrees must complete the College of Liberal Arts and Sciences General Education Program. The department encourages students to choose courses that complement their mathematics interests. Bachelor of Arts, Bachelor of ScienceThe Bachelor of Arts in mathematics requires a minimum of 37-39 s.h. in the major (11 courses). The Bachelor of Science in mathematics requires a minimum of 43-45 s.h. in the major (13 courses). The semester hour requirement for each degree varies, depending on the student's choice of program A, B, or C.At least 15 s.h. of post-calculus course work applied toward the major requirements must be taken at The University of Iowa. Post-calculus courses are those numbered 22M:027 and higher that have a calculus prerequisite. Students must maintain a g.p.a. of at least 2.00 in all course work for the major to earn a degree in mathematics. For policies concerning transfer credit, correspondence credit, credit by examination, cumulative grade-point average, rules relating to regression and duplication, and so forth, see the College of Liberal Arts and Sciences Student Academic Handbook. For information about duplication, regression, and use of the second-grade-only option for mathematics courses, contact the Department of Mathematics. The Handbook for Undergraduate Majors is available from the Department of Mathematics and on its web site. The handbook provides details about schedule planning and career options. For more information on admission, financial support, employment opportunities, the faculty, facilities, and other topics, visit The University of Iowa and Department of Mathematics web sites. Program AProgram A is primarily for students who plan to work in business or government or to pursue graduate study in mathematics.Students must complete seven core courses. In addition, B.A. students must complete at least four electives, and B.S. students must complete at least six. CORE COURSESA two-semester sequence of calculus I-II (8 s.h.) is required. Advanced placement credit, CLEP credit, and credit obtained through the Mathematics Incentive Program is accepted for all or part of the calculus requirement. All of these:
More advanced courses may be substituted for the core courses, with Department of Mathematics approval. ELECTIVESFor the B.A. degree: four electives (each 3-4 s.h.) chosen from the following list, including at least one upper-level mathematics courseFor the B.S. degree: six electives from the following list, including at least three upper-level mathematics courses MathematicsAll courses 22M:070 and above, except 22M:081, 22M:095, 22M:104, 22M:105, 22M:109, and 22M:195 (upper-level mathematics courses include 22M:096, and 22M:115 and above, except 22M:195 through 22M:199)Computer Science
Statistics and Actuarial ScienceStudents can count only one of these: 22S:120 or 22S:130. Neither of them can be counted if taken after 22S:153.
Upper-level mathematics courses are those numbered 22M:096, 22M:115, and above (except 22M:195-22M:199). Program BProgram B is intended for students seeking secondary school teaching licensure. See the department's Handbook for Undergraduate Majors, and see Teaching and Learning (College of Education) in the Catalog.CORE COURSESA two-semester sequence of calculus I-II (8 s.h.) is required. Advanced placement credit, CLEP credit, and credit earned through the Mathematics Incentive Program is accepted for part or all of the calculus requirement. All of these:
Students who wish to take 22M:055 and 22M:056 instead of 22M:028 and 22M:055 should consult their advisor. One of these:
More advanced courses may be substituted for the core courses, with Department of Mathematics approval. ELECTIVESB.A. students in Program B must take at least one additional course beyond calculus. B.S. students in Program B must take at least three additional courses beyond calculus, of which two must be numbered 22M:107 or above. With their advisor's approval, capable students are encouraged to substitute more advanced courses in the same subject area for any of the electives. The Handbook for Undergraduate Majors offers advice on course selection.Program CProgram C provides a degree with specialization in a math-related area, for instance, mathematics of optimal business decision making, economics, physics, biostatistics, biomathematics, computer science, and statistics and actuarial science. In consultation with the faculty advisor, each student prepares a program of studies tailor-made to his or her interests and academic or career goals. Building on a core of mathematics courses, students have considerable freedom to design their curriculum. The proposed program of studies must be approved by the mathematics department undergraduate committee. Students should submit their study plans on a Program C Plan of Study form, available at the mathematics department office. The Handbook for Undergraduate Majors has plans for choosing electives in several areas; students may use these or propose other plans.CORE COURSESA two-semester sequence of calculus I-II (8 s.h.) is required. Advanced placement credit, CLEP credit, and credit earned through the Mathematics Incentive Program is accepted for part or all of the calculus requirement.
One of these:
One additional proof course (e.g., 22M:050 or 22M:055) More advanced courses may be substituted for the core courses, with Department of Mathematics approval. ELECTIVESStudents choose six electives for the B.A. and eight for the B.S. Students choose electives according to their specialization area. At least three of the courses must be in mathematical sciences (prefixes 22C, 22M, and 22S).For a list of suggested subtracks, consult the Handbook for Undergraduate Majors. Four-Year Graduation PlanThe following checkpoints list the minimum requirements students must complete by certain semesters in order to stay on the University's Four-Year Graduation Plan. (Courses in the major are those required to complete the major; they may be offered by departments other than the major department.)Note: Much of the work in mathematics must be taken in sequence, so students must begin major requirements as early as possible, and individual plans of study must be worked out carefully. The B.A. in mathematics typically requires 11 courses, and the B.S. requires 13. Students must choose program A, B, or C by the end of the third semester and must remain in their chosen program until they graduate in order to stay on track for the four-year graduation plan. Before the third semester begins: course work through second-semester calculus and at least one-quarter of the semester hours required for graduation Before the fifth semester begins: two or three more courses in the major and at least one-half of the semester hours required for graduation Before the seventh semester begins: three or four more major courses and at least three-quarters of the semester hours required for graduation Before the eighth semester begins: two or three more major courses During the eighth semester: enrollment in all remaining course work in the major, all remaining General Education courses, and a sufficient number of semester hours to graduate HonorsIn order to graduate with honors in mathematics, a student must be a member of the University of Iowa Honors Program, which requires students to maintain a cumulative University of Iowa g.p.a. of at least 3.33 (contact the University of Iowa Honors Program for more information). Honors students in mathematics also must complete the regular requirements for an undergraduate major in mathematics with a g.p.a. of at least 3.40, and must complete either an honors project or the courses 22M:115-22M:116 and 22M:120-22M:121 with a g.p.a. of 3.00 or higher. Other sequences, such as 22M:170-22M:171, may be substituted with the approval of the honors advisor.Students planning an honors project are responsible for finding a faculty member willing to supervise the project. For help finding a project supervisor, contact the department. Students typically register for 22M:197 Individual Study and Honors in Mathematics for at least 3 s.h. For more information, contact the mathematics department honors advisor. Double MajorsStudents who wish to combine a major in mathematics with a major in computer science, statistics, or actuarial science must satisfy the requirements of program A, program B, or program C in mathematics as well as all requirements for the additional major.Transfer from Engineering to MathematicsCertain students who have completed 22M:031, 22M:032, 22M:033, 22M:034, 22M:037, 22M:047, or 22M:048 may count these courses toward a bachelor's degree in mathematics. See the department's Handbook for Undergraduate Majors.MinorThe minor in mathematics requires a minimum of 15 s.h. earned in Department of Mathematics courses, including at least 12 s.h. in advanced courses at The University of Iowa. Neither transfer credit nor credit by examination is accepted toward the 12 s.h. of advanced work; advanced courses are 22M:027 and 22M:028, and all courses numbered 22M:033 or above, except 22M:081, 22M:104, 22M:109, and 22M:195. Students who have taken 22M:031, 22M:032, 22M:033, 22M:034, and 22M:037 at Iowa may satisfy the advanced course requirement by taking one additional advanced course numbered 22M:050 or above, except 22M:056. See the department's Handbook for Undergraduate Majors.Students seeking a mathematics minor must maintain a g.p.a. of at least 2.00 in all work attempted in the department. No course counted toward the minor may be taken pass/nonpass. Graduate ProgramsThe department offers the Master of Science and the Doctor of Philosophy in mathematics.Master of ScienceThe Master of Science in mathematics requires a minimum of 30 s.h. of graduate credit. Students earn the degree through courses and comprehensive examinations. There is no M.S. thesis. Requirements (courses and comprehensive examination areas) may be modified with the department's consent.Four different programs lead to the M.S. in mathematics. Program IProgram I prepares students for further study of pure and applied mathematics and for employment in government and business. M.S. students in program I take several courses and pass two comprehensive examinations. Students must earn a grade of B-minus or higher in six of the courses and maintain a g.p.a. of at least 2.75 in all mathematics courses taken for the M.S.The following courses are required.
Each student must pass two comprehensive exams at the M.S. level, chosen from algebra, analysis, differential equations with numerical methods, and topology. Program IIProgram II is designed for secondary school teachers. Program II requirements are the same as those for programs I and III, except that two mathematics education courses are required. All mathematics courses numbered 22M:100 or above may be used to satisfy the required 24 s.h. of course work. Students are encouraged to consult with the mathematics education faculty when planning their course of study.Program IIIProgram III focuses on applied mathematics. Students in program III take several courses and pass two comprehensive examinations. Students must earn a grade of B-minus or higher in six of the courses and maintain a g.p.a. of at least 2.75 in all mathematics courses taken for the M.S.The following courses are required. All of these:
Both courses in group A, or both courses in group B: Group A
Group B
Each student must pass two comprehensive exams at the M.S. level, chosen from analysis, differential equations with numerical methods, numerical analysis, and topology. Program IVProgram IV is designed for nondepartmental students working toward the Ph.D. in areas that require mathematical knowledge. The program has no specific required courses. Course distribution requirements are the same as those for program I.Students in program IV are considered to have passed the comprehensive examination for the master's degree in mathematics if they have maintained a g.p.a. of at least 3.00 in all mathematics courses taken for the M.S. in mathematics and have successfully completed the Ph.D. comprehensive examination in their chosen area. Students in program IV are assigned a mathematics advisor, who works with them and their major advisor to plan an appropriate curriculum for the M.S. in mathematics. A suitable program of study should be approved by a mathematics advisor before the student takes the Ph.D. comprehensive examination, and a member of the mathematics faculty should serve on the Ph.D. comprehensive examination committee. Doctor of PhilosophyThe Doctor of Philosophy in mathematics requires a minimum of 72 s.h. of graduate credit. The program places strong emphasis on preparation for research and teaching. The department maintains no division between pure and applicable mathematics. It cooperates in interdisciplinary doctoral programs with the College of Education (see Teaching and Learning in the Catalog) and the Program in Applied Mathematical and Computational Sciences.Ph.D. students in mathematics must satisfy the following requirements for course work (credits and breadth), examinations, foreign language, and the Ph.D. thesis. Students must spend at least three years in residence at a graduate college, including at least one year at The University of Iowa. They also should enroll in specific courses designated as preparatory for the Ph.D. examinations (consult the Department of Mathematics graduate studies director). To further encourage mathematical breadth, students must earn at least 33 s.h. of graduate credit in regular courses equivalent to or more advanced than Ph.D. comprehensive examination preparatory courses. For a list of accepted 200-level and 300-level courses, and rules to ensure proper distribution, contact the department. The Ph.D. examinations consist of a qualifying exam and a comprehensive exam. Students choose three areas from the department's list of qualifying examination areas: algebra, analysis, differential equations with numerical methods, and topology. For each qualifying area, there is a two-semester, 100-level course sequence designated as preparatory, although exams may differ from course content. The three parts of the qualifying exam are taken over a two-week period. One grade (pass, fail, conditional pass) is given on the entire three-part qualifying examination by a committee consisting of six faculty members, two from each area. If the grade is fail, the committee has the option to consider each part of the exam separately, offering the student the option of pass in one or two of the areas and fail in the other(s). The Ph.D. comprehensive exam tests students on research-related topics. Candidates also take an oral final examination on their dissertation material. Ph.D. students are required to demonstrate reading proficiency in French, German, or Russian by passing a reading test administered by the appropriate language department, earning a grade of B or higher in the second semester of a sequence offered by the appropriate language department, or passing a special examination approved by the Department of Mathematics graduate committee. Courses that do not carry graduate credit can be used to satisfy this requirement, but they do not count toward the required 72 s.h. of graduate credit. Students must demonstrate language competence after enrolling in graduate school. The most distinctive aspect of a Ph.D. is the thesis. The department expects the thesis to be an original mathematical work comparable in content and writing quality to that found in standard published research journals. The thesis is written under the supervision of a mathematics department faculty member and is approved by a committee. AdmissionApplicants must meet the admission requirements of the Graduate College; see the Manual of Rules and Regulations of the Graduate College or the Graduate College section of the Catalog.Master of ScienceAdmission to M.S. programs I, II, and III is based on a combination of undergraduate course work and grades, letters of recommendation, Graduate Record Examination (GRE) General Test scores, and for international applicants, scores on the Test of English as a Foreign Language (TOEFL). Numerical standards change every year or so. Exceptions may be made to the following guidelines.Applicants must have completed work in an undergraduate program equivalent to the bachelor's degree offered by the mathematics department. Those whose preparation does not meet this requirement may be admitted conditionally and are asked to take specific courses that cover the deficiency. Applicants are expected to have an undergraduate g.p.a. of at least 3.20. Relevance and difficulty of courses are considered when evaluating grades; grades of C or lower in mathematics courses need to be balanced by grades of A. Applicants must submit three letters of recommendation. They also are expected to score at least 650 on the quantitative section of the GRE General Test. International applicants are required to demonstrate their competence in English, normally by scoring at least 550 (paper-based), 215 (computer-based), or 88 (Internet-based) on TOEFL. Doctor of PhilosophyAdmission to the Ph.D. program is based on a combination of undergraduate or graduate course work and grades, letters of recommendation, Graduate Record Examination (GRE) General Test scores, and for international applicants, scores on the Test of English as a Foreign Language (TOEFL). Admission requirements are similar to those for the Master of Science programs, but the department generally seeks stronger grades and scores for doctoral admission: undergraduate or graduate g.p.a. of at least 3.40; GRE General Test quantitative score of at least 700; and TOEFL scores of at least 575 (paper-based), 230 (computer-based), or 88 (Internet-based).Courses
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