Mathematics

Subject abbreviation: MATH College of Natural and Agricultural Sciences

Yat Sun Poon, Ph.D. Chair Department Office, 202 Surge Building

• (951) 827-3113; mathdept.ucr.edu

Professors Mark Alber, Ph.D. Distinguished Professor John C. Baez, Ph.D. Mei-Chu Chang, Ph.D. Vyjayanthi Chari, Ph.D. Michel L. Lapidus, Ph.D., Distinguished Professor Yat Sun Poon, Ph.D. Ziv Ran, Ph.D. David E. Rush, Ph.D. Reinhard Schultz, Ph.D. Stefano Vidussi, Ph.D. Frederick H. Wilhelm, Jr., Ph.D. Bun Wong, Ph.D. Feng Xu, Ph.D. Qi S. Zhang, Ph.D. Professors Emeriti Theodore J. Barth, Ph.D. Richard E. Block, Ph.D. John E. de Pillis, Ph.D. Gerhard Gierz, Ph.D. Lawrence H. Harper, Ph.D. Frederic T. Metcalf, Ph.D. Malempati M. Rao, Ph.D. Louis J. Ratliff, Jr., Ph.D. James D. Stafney, Ph.D. Albert R. Stralka, Ph.D. Associate Professors Wee Liang Gan, Ph.D. Jacob Greenstein, Ph.D. Zhuang-dan Guan, Ph.D. James Kelliher, Ph.D. Assistant Professors Po-Ning Chen, Ph.D. Weitao Chen, Ph.D. Kevin Costello, Ph.D. Jose Gonzalez, Ph.D. Sara Lapan, Ph.D. Carl Mautner, Ph.D. Amir Moradifam, Ph.D. David Weisbart, Ph.D. Zhenghe Zhang, Ph.D.

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Visiting Assistant Professors Brian Benson, Ph.D. Zhanar Berikkyzy, Ph.D. Humberto Diaz, Ph.D. Xin Dong, Ph.D. Steven Gindi, Ph.D. Chenxu He, Ph.D. Bingyuan Liu, Ph.D. Neal Livesay, Ph.D. Kadriye Nur Saglam, Ph.D. Lei Song, Ph.D. Lizheng Tao, Ph.D. Christina Vasilakopoulou, Ph.D. Chenxu Wen, Ph.D. Xinli Xiao, Ph.D. Zhixian Zhu, Ph.D. Lecturers Michael Curtis Cooperating Faculty Bai-Lian “Larry” Li, Ph.D. (Botany and Plant Sciences)

Academic Coordinator Rob Lam

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 pure mathematics. The General Applied Math option is directed toward students who may wish to pursue graduate work in applied mathematics.

The other Applied Mathematics programs, with options in Biology, Chemistry, Economics, Environmental Sciences, Physics, and Statis- tics, 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 de- signed 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 Teach- ers 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 educa- tion 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.

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

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 Materials Science & Engineering / Mathematics / 344 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 smi.ucr.edu, the Resource Center at 1315 Pierce Hall, or on Facebook at facebook.com/ScienceMathInitiativeAtUcr.

All courses taken to fulfill major requirements must be completed with grades of C- or better after repeats.

Freshman (0-44.9 units earned)

Completion of the following with grade of “C-“or better and must be in good academic standing. (2.0 quarter and cumulative GPA).

MATH 007A or MATH 009A or MATH 009HA

Sophomores (45-89.9 earned units)

Completion of the following with grade of “C-“or better and must be in good academic standing. (2.0 quarter and cumulative GPA).

MATH 007A or MATH 009A or MATH 009HA

MATH 007B or MATH 009B or MATH 009HB

MATH 009C or MATH 010A

Juniors & Seniors (90 or more earned units)

Completion of the following with grade of “C-“or better and must be in good academic standing. (2.0 quarter and cumulative GPA).

MATH 007A or MATH 009A or MATH 009HA

MATH 007B or MATH 009B or MATH 009HB

MATH 009C

MATH 010A

MATH 031

Major change requests are reviewed during the 2nd, 3rd, 4th & 10th weeks of each quarter. Students are required to complete degree programs without exceeding 216 earned units.

Applicants to majors in the College of Natural and Agricultural Sciences are selected on the basis of academic preparation, as assessed by their GPA and the strength of preparation for the intended major. A GPA of at least 2.70 is required. (This is a baseline GPA for consideration and not a guarantee of admission.)

In addition, applicants will need to complete college courses comparable to at least two of the following UCR year-long sequences in order to meet selection criteria for this major. Courses must be completed with “C” grades or better:

MATH 007A or MATH 009A, MATH 007B or MATH 009B, and MATH 009C (mandatory)

And at least one sequence from:

• 1. BIOL 005A/BIOL 05LA and BIOL 005B (and

BIOL 005C, if articulated)

• 2. CHEM 001A, CHEM 01LA, CHEM 001B,

CHEM 01LB, CHEM 001C, and CHEM 01LC

• 3. PHYS 040A, PHYS 040B, and PHYS 040C

• 4. MATH 010A, MATH 010B, and MATH 046

Courses must be completed with a letter grade, with no grade lower than a “C.” Students should visit assist.org for updated and comprehensive major preparation requirements.

See Undergraduate Studies section.

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

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

• 1. One of the year sequences

• a) BIOL 002, BIOL 003, BIOL 005C

• b) CHEM 001A, CHEM 001B, CHEM 001C,

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

• c) 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

• 1. Lower-division requirements: MATH 007A or

MATH 009A or MATH 009HA, MATH 007B or MATH 009B or MATH 009HB, MATH 010A, MATH 010B, MATH 031, 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 007A or MATH 009A or MATH 009HA, MATH 007B or MATH 009B or MATH 009HB, MATH 009C, MATH 010A, MATH 010B, MATH 031, 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) Sixteen (16) additional units of

upperdivision 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 131, MATH 135A and MATH 135B, or MATH 149A and MATH 149B. MATH 146A, MATH 146B, MATH 146C and the courses in one of the following options:

• a) General Applied Mathematics option

• (1) MATH 150A or MATH 151A

• (2) MATH 168

• (3) Students will select 16 units from

MATH 120, MATH 121, MATH 126, MATH 141, MATH 147, MATH 148, MATH 149A, MATH 149B, MATH 149C, MATH 150B, MATH 151B, MATH 165A, MATH 165B

• b) Biology option

• (1) BIOL 005A, BIOL 05LA, BIOL 005B,

BIOL 005C

• (2) MATH 149A

• (3) Two courses from MATH 120, MATH 121, MATH 35A, MATH 135B, MATH 149B, MATH 149C

• (4) BIOL 102, BIOL 105, BIOL 108

345 / Programs and Courses

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

division biology

• c) Chemistry option

• (1) CHEM 001A, CHEM 001B, CHEM 001C, CHEM 01LA, CHEM 01LB,

CHEM 01LC

• (2) PHYS 040A, PHYS 040B, PHYS 040C

• (3) Three courses from MATH 120, MATH 135A, MATH 135B, MATH . 149A,

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

• (4) CHEM 110A, CHEM 110B, CHEM 111,

CHEM 113

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

division chemistry

• d) Economics option

• (1) MATH 120, MATH 121, MATH 149A,

MATH 149B

• (2) Four 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 134/BUS 106, ECON 135, ECON 143A/ENSC 143A, ECON 143B/ ENSC 143B, ECON 143C/ENSC 143C, ECON 156, ECON 206

• e) Environmental Sciences option

• (1) CHEM 001A, CHEM 001B, CHEM 001C, CHEM 01LA, CHEM 01LB,

CHEM 01LC

• (2) ECON 006/ENSC 006

• (3) GEO 001 is recommended

• (4) MATH 149A

• (5) Two courses from MATH 120, MATH 121, MATH 135A, MATH 135B, MATH 149B, MATH 149C, CS 177, STAT 155

• (6) ENSC 100/SWSC 100, ENSC 101,

ENSC 102

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

division environmental sciences

• f) Physics option

• (1) MATH 135A, MATH 165A

• (2) Either MATH 120 or MATH 171

• (3) PHYS 130A, PHYS 130B

• (4) Either PHYS 135A, PHYS 135B, PHYS 136 or PHYS 156A, PHYS 156B

• 3. Computational Mathematics program

• a) MATH 011/CS 011, MATH 131, MATH 120, MATH 132, MATH 135A, MATH 135B

• b) CS 012, CS 014, CS 141, CS 150

• c) One additional CS course to be chosen

from the list of approved technical elective courses.

• d) Sixteen (16) units of technical electives to

be chosen from

• (1) CS 111, MATH 121, MATH 126,

MATH 146A, MATH 146B, MATH 146C, MATH 149A, MATH 149B, MATH 149C, MATH 171

• (2) CS 130, CS 166, CS 170, CS 177

• 1. Lower-division Mathematics requirements

(24 units) MATH 007A or MATH 009A or MATH 009HA, MATH 007B or MATH 009B or MATH 009HB, MATH 009C, MATH 010A, MATH 010B, MATH 031, MATH 046

• 2. Upper-division Mathematics requirements

(36 units)

• a)MATH 131, MATH 133, MATH 140,

MATH 144, MATH 153

• b)MATH 150A or MATH 151A

• c) Three courses from: MATH 132, MATH 136, MATH 137, MATH 138A, MATH 145A, MATH 145B, MATH 149A, MATH 149B, MATH 149C, MATH 150B, MATH 151B, MATH 151C, MATH 171, MATH 172

• 3. Additional Mathematics and related

disciplines requirements (12 units)

• a) CS 010

• b)CS 011/MATH 011

• c) STAT 155

• 4. Natural Sciences (16-20 units)

• a) BIOL 002 or BIOL 003 or BIOL 005A and

BIOL 05LA

• b) CHEM 001A and CHEM 01LA or CHEM 001HA and CHEM 1HLA

• c) PHYS 040A

• d) CHEM 001B and CHEM 01LB or CHEM 001HB and CHEM 1HLB 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 003 or EDUC 004 or EDUC 100B or equivalent, EDUC 104, EDUC 109/EDUC 109S, EDUC 110, EDUC 139

• 7. Recommended Courses LING 020 or LING 021, EDUC 116, EDUC 174, EDUC 175/

EDUC 175S

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 and MATH 149B.

• 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 of the

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.

The following are the requirements for a minor in Mathematics.

• 1. Lower-division courses (20 units): MATH 007A or MATH 009A or MATH 009HA,

MATH 007B or MATH 009B or MATH 009HB, MATH 009C, MATH 010A, MATH 010B

• 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.

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 Study Abroad Programs at ea.ucr.edu or call

• (951) 827-4113.

See Education Abroad Program in the Educational Opportunities 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 uc.eap.ucop.edu.