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Mathematics

Catalog pages 325-327

Subject abbreviation: MATH College of Natural and Agricultural Sciences

Gerhard Gierz, Ph.D., Chair Department Office, 202 Surge Building

  • (951) 827-3113; www.math.ucr.edu

Professors John C. Baez, Ph.D. Mei-Chu Chang, Ph.D. Vyjayanthi Chari, Ph.D. Gerhard Gierz, Ph.D. Michel L. Lapidus, Ph.D. Yat Sun Poon, Ph.D. Ziv Ran, Ph.D. David E. Rush, Ph.D. Reinhard Schultz, Ph.D. Stefano Vidussi, Ph.D. Bun Wong, Ph.D. 'FOH9V 1I% Qi S. Zhang, Ph.D. Professors Emeriti Theodore J. Barth, Ph.D. Richard E. Block, Ph.D. Bruce L. Chalmers, Ph.D. John E. de Pillis, Ph.D. Neil E. Gretsky, Ph.D. Lawrence H. Harper, Ph.D. Frederic T. Metcalf, Ph.D. J. Keith Oddson, Ph.D. Malempati M. Rao, Ph.D. Louis J. Ratliff, Jr., Ph.D. Victor L. Shapiro, Ph.D. James D. Stafney, Ph.D. Albert R. Stralka, Ph.D. Associate Professors Wee Liang Gan, Ph.D. Jacob Greenstein, Ph.D. Zhang-Dan Guan, Ph.D. James Kelliher, Ph.D. Frederick H. Wilhelm, Jr., Ph.D. Assistant Professors Julia Bergner, Ph.D. Kevin Costello, Ph.D. Juhi Jang, Ph.D. Thomas Laurent, Ph.D. ** Visiting Assistant Professors Steven Chadwick, Ph.D. Jiarui Fei, Ph.D. Karl Fredrickson, Ph.D. Gung Min Gie, Ph.D. Philip Hackney, Ph.D. Jonas Hartwig, Ph.D. Ehsan Kamalinejad, Ph.D. Lina Lee, Ph.D. Liping Li, Ph.D. Kuei-Nuan Lin, Ph.D. Paolo Mantero, Ph.D. Stephen Muir, Ph.D. Pedro Solorzano, Ph.D. A.J. Todd, Ph.D. Michael Williams, Ph.D. Lecturers Jairo Aguilar Lisa Bruce Stephen Carr Michael Curtis Sandra Fay Yuichiro Kakihara, Ph.D. Rob Lam Jose Villa Cooperating Faculty Bai-Lian “Larry” Li, Ph.D. (Botany and Plant Sciences)

Major

The Department of Mathematics offers a B.A. and B.S. degree in programs that share a common, solid mathematical foundation but differ in their specializations in the pure and applied areas of mathematics. These programs can provide the basis for careers in mathematics itself or within the many scientific and business fields, which, in today’s technological society, depend on a basic knowledge of mathematical methods.

The B.A. in Mathematics, following the liberal arts tradition, combines a broad coverage of the humanities and social sciences with a moderate amount of advanced mathematics in the major. It is selected most often either by students who intend to obtain a teaching credential with a specialty in mathematics or by students who wish to pursue graduate work in business or the social sciences.

The B.S. in Mathematics is more technical and contains a greater concentration of work in the major field. The Pure Mathematics program is directed toward students who may wish to pursue graduate work in mathematics. The Applied Mathematics programs, with options in Biology, Chemistry, Economics, Environmental Sciences, Physics, and Statistics, are designed to provide a rigorous training in mathematics together with a substantial background in the discipline of the option. The Computational Mathematics program is designed to prepare the student for professional work with computers and computer systems and for graduate work in computer science.

The B.S. in Mathematics for Secondary Teachers is intended for students planning to pursue a career in secondary education. Its courses cover the high school curriculum from an advanced perspective. Students are required to complete mathematics education and education courses in order to facilitate presence in the classroom early in their undergraduate career and to better prepare them for entry in a credential program.

Academic Advising

Each Mathematics major is assigned a faculty advisor who assists the student in formulating educational goals and monitors the student’s subsequent progress in an academic program. Each quarter a study list must be approved by this advisor. Advising Mathematics 326 / Programs and Courses

for all math majors is conducted by the CNAS Academic Advising Center in 1223 Pierce Hall.

Teaching Credential

Teachers in the public schools in California must have a credential approved by the State Commission on Teacher Credentialing. The credential requires an undergraduate major, baccalaureate degree, and completion of a graduate credential program such as that offered by the Graduate School of Education at UCR (see Education in this catalog). The Bachelor of Science in Mathematics for Secondary Teachers assists students in their preparation to face the challenges of a credentialing program.

Before admission and student teaching in a graduate credential program, the candidate must pass the California Basic Education Skills Test (CBEST) and demonstrate subject-matter proficiency in the fields which the candidate will teach. The candidate can demonstrate proficiency either by passing the commission’s subject-matter assessment examination or completing an undergraduate program that is state approved for teacher preparation.

California Teach-Science/Mathematics Initiative (CaTEACH-SMI) California Teach-Science Mathematics Initiative (CaTEACH-SMI) has a goal of addressing the critical need of highly qualified K-12 science and mathematics teachers in California. With an economy increasingly reliant on science, technology, engineering, and mathematics (STEM) and the anticipated large scale retirement of qualified teachers, this is an essential time to explore and prepare for a career in teaching science or mathematics.

CaTEACH-SMI at UCR offers undergraduate students paid/unpaid opportunities, such as the SMI & Alpha Center Apprentice Programs, to explore STEM teaching as a career option. Through CaTEACH-SMI, students receive advising and mentoring to prepare for entrance into an intern teaching credential program while diligently coordinating with academic advisors to ensure completion of STEM degree requirements. The CaTEACH-SMI Resource Center provides future STEM teachers with material and financial resources which includes the National Science Foundation (NSF) Noyce Scholarship Program, to promote planning and professional development towards a science/mathematics education career.

For more information about the CaTEACH-SMI program, please visit http://smi.ucr.edu or at the Resource Center at 1315 Pierce Hall.

University Requirements

See Undergraduate Studies section.

College Requirements

See College of Natural and Agricultural Sciences, Colleges and Programs section.

Major Requirements for the Bachelor of Arts and Bachelor of Science in Mathematics

To fulfill the Natural Sciences requirement, the Department of Mathematics requires the following:

CHEM 01LA, CHEM 01LB, CHEM 01LC,

PHYS 040A, PHYS 040B, PHYS 040C

  • 2. Either one course in the physical sciences

listed above if (a) above is completed or one course in the biological sciences if (b) or (c) above is completed

The major requirements for the B.A. and B.S. degrees in Mathematics are as follows:

For the Bachelor of Arts

or MATH 009A, MATH 009B, MATH 009C, MATH 010A, MATH 010B, MATH 046

  • 2. Four (4) units of either CS 010 or one upper-

division course in Statistics

  • 3. A minimum of 36 units of upper-division

mathematics, excluding courses in the MATH 190–199 series

For the Bachelor of Science

Lower-division requirements for all programs are MATH 008B or MATH 009A, MATH 009B, MATH 009C, MATH 010A, MATH 010B, MATH 046, CS 010 (CS 012 is recommended).

  • 1. Pure Mathematics program (56 units)
  • a) Thirty-six (36) units of upper-division

mathematics to include at least 24 units from MATH 131, MATH 132, MATH 145A, MATH 145B, MATH 151A, MATH 151B, MATH 151C, MATH 171, MATH 172

  • b) At least three courses from (a) above must

be from MATH 145A, MATH 145B, MATH 151A, MATH 151B, MATH 151C

  • c) Courses in the MATH 190–199 series are

excluded

  • d) Twenty (20) additional units of upper-division

mathematics, upper-division computer science, or other related courses approved by the undergraduate advisor (For students who wish to pursue graduate work, courses in complex variables, differential equations, and probability may be particularly useful.)

  • 2. Applied Mathematics programs

MATH 113 or MATH 131, MATH 132, MATH 146A, MATH 146B, MATH 146C and the courses in one of the following options:

  • a) Biology option

BIOL 005C

  • (5) Four (4) additional units of upper-

division biology

  • b) Chemistry option

CHEM 01LC

PHYS 002B, PHYS 002C

MATH 149B, MATH 149C, MATH 165A, MATH 165B

  • (5) Four (4) additional units of upper-

division chemistry

  • c) Economics option

MATH 149B, MATH 149C

  • (2) Five upper-division economics courses

(at least 20 units) to consist of ECON 102A and four courses to be chosen from ECON 102B, ECON 103A, ECON 103B, ECON 107, ECON 108, ECON 110, ECON 111, ECON 134/BUS 106, ECON 135, ECON 143A/ENSC 143A, ECON 143B/ENSC 143B, ECON 143C/ ENSC 143C, ECON 156, ECON 206

  • d) Environmental Sciences option

CHEM 01LC

ENSC 102

  • (7) Eight (8) additional units of upper-

division environmental sciences

  • e) Physics option
  • f) Statistics option

MATH 149C

STAT 171

  • 3. Computational Mathematics program

MATH 135B

  • c) One additional CS course to be chosen

from the list of approved technical elective courses.

  • d) Twenty-four (24) units of technical

electives to be chosen from

MATH 149C, MATH 171

Major Requirements for the Bachelor of Science in Mathematics for Secondary School Teachers

  • 1. Lower-division Mathematics requirements

(24 units) MATH 009A, MATH 009B, MATH 009C, MATH 010A, MATH 010B, MATH 046

  • 2. Upper-division Mathematics requirements

(36 units)

MATH 144, MATH 153

  • 3. Additional Mathematics and related

disciplines requirements (12 units)

  • 4. Natural Sciences (16-20 units)

BIOL 05LA

or PHYS 040B or an additional laboratory Biological science course

  • 5. Social Sciences (16 units)
  • a) One course in ECON or POSC
  • b) One course in ANTH
  • c) One course in PSYC
  • d) One course in SOC
  • 6. Mathematics Education and Education

requirements (18 or 19 units): EDUC 104/ MATH 104, EDUC 003 or EDUC 004 or EDUC 100B or equivalent, EDUC 109, EDUC 110, EDUC 139

Mathematics Honors Program

Candidates for the Honors Program in Mathematics must complete

  • 1. Earn an overall GPA of at least 3.50 in

Mathematics.

  • 2. Earn a grade of “B” or better in each of

MATH 151A, MATH 151B and MATH 151C.

  • 3. Earn a grade of “B” or better in each of

MATH 145B and MATH 171 OR in each of MATH 146A, MATH 146B and MATH 146C OR in each of MATH 149A, MATH 149B and MATH 149C.

  • 4. Satisfactorily complete one of the following:
  • i) A research project earning a grade of “A”

in MATH 197.

  • ii) Two courses chosen from one ofthe

sequences: MATH 201A, 201B, 201C; MATH 205A, MATH 205B, MATH 205C: MATH 209A, MATH 209B, MATH 209C; MATH 210A, MATH 210B with a grade of “B” or better in each course.

It is the responsibility of the honors candidates to notify the department of their eligibility.

Minor

The following are the requirements for a minor in Mathematics.

  • 2. Upper-division requirements: 24 units of

upper-division mathematics courses. Of the specified upper-division units, a minimum of 16 must be unique to the minor and may not be used to satisfy major requirements and no more than 4 units in courses numbered 190–199.

Students with a minor in Mathematics should consult with a faculty advisor in Mathematics to construct a specific program consistent with their goals.

See Minors under the College of Natural and Agricultural Sciences in the Colleges and Programs section of this catalog for additional information on minors.

Education Abroad Program

The EAP is an excellent opportunity to travel and learn more about another country and its culture while taking courses to earn units toward graduation. Students should plan study abroad well in advance to ensure that the courses taken fit with their overall program at UCR. Consult the departmental student affairs officer for assistance. For further details visit UCR’s International Education Center at internationalcenter.ucr.edu or call (951) 827-4113.

See Education Abroad Program under International Education Center in the Student Services section of this catalog. A list of participating countries is found under Education Abroad Program in the Programs and Courses section. Search for programs by specific areas at eap.ucop.edu/programwizard.