Mathematics
Catalog pages 311-313
Subject abbreviation: MATH College of Natural and Agricultural Sciences
Vyjayanthi Chari, 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. Malempati M. Rao, Ph.D. David E. Rush, Ph.D. Reinhard Schultz, 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. Bruce L. Chalmers, Ph.D. John E. de Pillis, Ph.D. Neil E. Gretsky, Ph.D. Charles J. A. Halberg, Jr., Ph.D. Lawrence H. Harper, Ph.D. Frederic T. Metcalf, Ph.D. J. Keith Oddson, 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 Le Baron O. Ferguson, Ph.D. Zhang-Dan Guan, Ph.D. Frederick H. Wilhelm, Jr., Ph.D. Stefano Vidussi, Ph.D. Assistant Professors Marta Asaeda, Ph.D. Julia Bergner, Ph.D. Vasiliy Dolgushev, Ph.D. Wee Liang Gan, Ph.D. Jacob Greenstein, Ph.D. James Kelliher, Ph.D. ** 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 com- mon, 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 mod- erate amount of advanced mathematics in the major. It is selected most often either by students who intend to obtain a teaching cre- dential 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 Mathemat ics program is directed toward students who may wish to pur- sue graduate work in mathematics. The Applied Mathemat ics 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 comput- ers 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 under- graduate 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 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 cre- dential requires an undergraduate major, bac- calaureate degree, and completion of a gradu- ate credential program such as that of fered 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 pro- gram.
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 pro- ficiency 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 Init ia tive (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 teach- ers 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 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 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 1104 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 Dep artment of Mathematics requires the follow ing:
- 1. One of the year sequences
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
- 1. Lower-division requirements: MATH 008B 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). 312 / Programs and Courses
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-divi-
sion mathematics, upper-division comput- er science, or other related courses approved by the undergraduate advisor (For students who wish to pursue gradu- ate 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
- (2) MATH 149A
- (5) Four (4) additional units of upper-
division biology
- b) Chemistry option
CHEM 01LA, CHEM 01LB, CHEM 01LC
PHYS 040C (preferred); or PHYS 002A, PHYS 002B, PHYS 002C
- (3) Four courses from MATH 120,
MATH 135A, MATH 135B, MATH 149A, MATH 149B, MATH 149C, MATH 165A, MATH 165B
- (5) Four (4) additional units of upper-
division chemistry
- c) Economics option
- (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 01LA, CHEM 01LB, CHEM 01LC
- (3) GEO 001 is recommended
- (4) MATH 149A
- (5) Three courses from MATH 120, MATH 121, MATH 135A, MATH 135B, MATH 149B, MATH 149C, CS 177, STAT 155
- (7) Eight (8) additional units of upper-
division environmental sciences
- e) Physics option
PHYS 136 or PHYS 156A, PHYS 156B
- f) Statistics option
3. Computational Mathematics program
MATH 131, MATH 120, MATH 132, MATH 135A, 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 elec-
tives to be chosen from
MATH 126, MATH 146A, MATH 146B, MATH 146C, MATH 149A, MATH 149B, 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)
- b. Four courses from:
MATH 132, MATH 136, MATH 137, MATH 138A, MATH 145A,MATH 145B, MATH 149A, MATH 149B, MATH 149C, MATH 151A, MATH 151B, MATH 151C, MATH 171, MATH 172
- 3. Additional Mathematics and related disciplines
requirements (12 units)
- a. CS 010
- c. STAT 155
- 4. Natural Sciences (16-20 units)
- b. CHEM 001A and CHEM 01LA or CHEM 001HA
and CHEM 1HLA
- d. CHEM 001B and CHEM 01LB or CHEM 001HB
and CHEM 1HLB or PHYS 002B 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
- 7. Recommended Courses
Mathematics Honors Program
Candidates for the Honors Program in Math ematics 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 mi nor in Mathematics. Mathematics / 313
- 1. Lower-division courses (20 units):
MATH 008B or MATH 009A, MATH 009B, 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 num- bered 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 gradu- ation. Stu dents should plan study abroad well in advance to en sure that the courses taken fit with their overall program at UCR. Con sult the depart- mental 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 partici- pating countries is found under Education Abroad Program in the Programs and Courses section. Search for programs by specific areas at eap.ucop.edu/programwizard.