Bachelor of Science in Mathematics

The Bachelor of Science in Mathematics program is designed for the student who, upon graduation, plans to pursue graduate studies in mathematics, begin a career in mathematics or closely related field, or pursue teaching. We offer three distinct concentrations. Students are encouraged to speak to a mathematics faculty advisor to select the appropriate concentration and elective courses that will best fit their career goals. 

The General Mathematics Concentration provides a deep level of study in mathematics and includes advanced topics in real analysis and algebra, which are prerequisites for many graduate programs. This concentration requires a total of 64-67 units of coursework; of those, up to 13 units may be selected from courses that count towards the University's General Education requirements in categories A3, B1 or B2, B3, B4, and the requirement for an upper-division writing-intensive course.

The Applied Mathematics Concentration combines mathematics coursework with coursework options in actuarial science, biology, chemistry, computer science, economics, geography, and physics. This concentration requires a total of 67-74 units of coursework; of those, up to 16 units may be selected from courses that count towards the University's General Education requirements in categories A3, B1, B2, B3, B4, and the requirement for an upper-division writing-intensive course.

The Teaching Mathematics Concentration is the best option for prospective secondary mathematics teachers and includes courses designed to help build the specialized content knowledge necessary for successful teaching. This concentration requires a total of 63-64 units of coursework; of those, up to 9 units count towards the University's General Education requirements in categories A3, B4, and the requirement for an upper-division writing-intensive course.

Requirements (63-74 units)

Total units required for graduation: 120

Requirements for the B.S. in Mathematics

Lower-division requirements (22-23)
MATH 2210Calculus I4
MATH 2220Calculus II4
MATH 2265Statistics with Applications3
MATH 2310Applied Linear Algebra4
MATH 2320Multivariable Calculus4
Select one of the following CSE courses:3-4
Critical Thinking Through Computer Programming Satisfies GE category A3
Programming Basics
Computer Science I
Upper-division requirements (15)
MATH 3100Mathematical Thinking: Communication and Proof4
MATH 3329Euclidean Geometry with Transformations3
MATH 4300Real Analysis4
MATH 4600Theory of Rings and Fields4
Note: MATH 3100 satisfies the GE upper-division Writing Intensive (WI) requirement.
Concentration (26-36)
Students must complete one of the three concentrations listed below:26-36
Total Units63-74

Concentrations (26-36 Units)

General Mathematics Concentration

(Program Code: MATH)

Lower-division requirements (6-8)
MATH 2270Differential Equations with Dynamical Systems I3
In addition to the lower-division CSE requirement, select one 2000-level course from the following: BIOL 2010*, BIOL 2160, BIOL 2170, BIOL 2180, CHEM 2050, CHEM 2070, CHEM 2100, CSE 2010*, ECON 2201, ECON 2202, GEOL 2040, GEOG 2040, GEOG 2249, GEOG 2250, PHIL 2100, PHYS 2000, or PHYS 2500. *Note course has prerequisite(s).3-5
Upper-division requirements (6)
MATH 5300Advanced Real Analysis3
MATH 5600Group Theory3
Electives (15)
Five courses (15 units) selected from the following with at least one course from each of Group A, Group B, and Group C. 15
Group A:
Number Theory
Combinatorics
Introduction to Graph Theory
Group B:
Differential Equations with Dynamical Systems II
Partial Differential Equations & Fourier Analysis
Group C:
Differential Geometry
Complex Analysis
Advanced Linear Algebra
Advanced Topics in Geometry
Introduction to Topology
Group D:
Mathematical Interest Theory
Probability Theory
Topics in History of Mathematics
Introduction to Actuarial Modeling
Linear Statistical Models
Topics in Advanced Mathematics
Mathematical Statistics
Independent Study
Philosophy of Logic and Mathematics
Total Units27-29

Applied Mathematics Concentration

(Program Code: MAAM)

Lower-division requirements (9-13)
MATH 2270Differential Equations with Dynamical Systems I3
In addition to the lower-division CSE requirement, select one 2000-level course from Group I below and one additional course from either Group I or Group II :6-10
Group I: BIOL 2010*, BIOL 2160, BIOL 2170, BIOL 2180, CHEM 2050, CHEM 2070, CHEM 2100, ECON 2202, GEOL 2040, GEOG 2040, PHIL 2100, PHYS 2000, PHYS 2500. Each course in Group I satisfies one of the following GE categories: A3, B1, B2, or D2. *Note course has prerequisite(s).
Group II: BIOL 2020*, CHEM 2060*, CHEM 2200*, CSE 2010*, CSE 2020*, ECON 2201, GEOG 2249, GEOG 2250, PHYS 2010*, PHYS 2510*, PHYS 2700*. *Note course has prerequisite(s).
Upper-division requirements (3)
MATH 5310Advanced Linear Algebra3
Electives (18-20)
Six courses (18-20 units) selected from the following with four courses from Group A and two courses from Group B. At least three elective courses must be chosen from the 4000-level or above.18-20
Group A:
Mathematical Interest Theory
Combinatorics
Probability Theory
Introduction to Graph Theory
Differential Equations with Dynamical Systems II
Introduction to Actuarial Modeling
Linear Statistical Models
Partial Differential Equations & Fourier Analysis
Mathematical Statistics
In addition to the two courses already taken from Group I and/or Group II above, select at most one additional course from the following in consultation with an advisor: BIOL 2020, BIOL 3100, BIOL 3300, BIOL 3700, BIOL 3800, CHEM 2300, CHEM 2400, CHEM 3200, CSE 2020, CSE 2130, CSE 4200, CSE 4310, CSE 5000, CSE 5120, CSE 5350, CSE 5500, ECON 3103, ECON 3314, ECON 3318, ECON 3400, ECON 3780, GEOG 3710, GEOG 4860, GEOG 4880, PHYS 2700, PHYS 3100, PHYS 3200, or PHYS 3300.
Group B:
Number Theory
Topics in History of Mathematics
Differential Geometry
Complex Analysis
Advanced Real Analysis
Topics in Advanced Mathematics
Advanced Topics in Geometry
Introduction to Topology
Group Theory
Independent Study
Total Units30-36

Teaching Mathematics Concentration

(Program Code: MATM)

Lower-division requirements (4)
MATH 2900Problem Solving and Mathematical Reasoning for Teachers I4
Upper-division requirements (16)
MATH 3345Number Theory 3
MATH 3460Probability Theory3
MATH 3480Topics in History of Mathematics3
MATH 4900Problem Solving and Mathematical Reasoning for Teachers II4
MATH 5900Senior Seminar for Future Mathematics Educators3
Electives (6)
Two courses (6 units) selected from the following with at least one course from Group A.6
Group A:
Complex Analysis
Advanced Real Analysis
Advanced Linear Algebra
Advanced Topics in Geometry
Introduction to Topology
Mathematical Statistics
Group Theory
Group B:
Differential Equations with Dynamical Systems I
Introduction to Systems Modeling
Mathematical Interest Theory
Combinatorics
Introduction to Graph Theory
Introduction to Actuarial Modeling
Linear Statistical Models
Differential Geometry
Topics in Advanced Mathematics
Independent Study
Total Units26