# 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 recommended for prospective secondary mathematics teachers and includes courses designed to help build the specialized content knowledge necessary for successful teaching. The mathematics requirements of this concentration (including the core mathematics requirements for the B.S.) comprise a California Commission on Teacher Credentialing approved subject matter preparation program. Subject Matter Competence (SMC) for the Single Subject Teaching Credential may be demonstrated by completion of all lower and upper division mathematics requirements of the *Bachelor of Science in Mathematics - Teaching Concentration *with (1) a 2.7 GPA or higher, and (2) no grade lower than a C (2.0) in those courses. Students who meet this standard do not need to verify SMC through the CSET exam. Students who do NOT meet this standard may be required to take the CSET exams to verify SMC. Note that this demonstration of SMC is required for the Single Subject Teaching Credential, but is not a requirement of the B.S. degree. 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 2210 | Calculus I | 4 |

MATH 2220 | Calculus II | 4 |

MATH 2265 | Statistics with Applications | 3 |

MATH 2310 | Applied Linear Algebra | 4 |

MATH 2320 | Multivariable Calculus | 4 |

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 3100 | Mathematical Thinking: Communication and Proof | 4 |

MATH 3329 | Euclidean Geometry with Transformations | 3 |

MATH 4300 | Real Analysis | 4 |

MATH 4600 | Theory of Rings and Fields | 4 |

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 Units | 63-74 |

## Concentrations (26-36 Units)

### General Mathematics Concentration (27-29 units)

(Program Code: MATH)

Lower-division requirements (6-8) | ||

MATH 2270 | Differential Equations with Dynamical Systems I | 3 |

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 5300 | Advanced Real Analysis | 3 |

MATH 5600 | Group Theory | 3 |

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 Units | 27-29 |

### Applied Mathematics Concentration (30-36 units)

(Program Code: MAAM)

Lower-division requirements (9-13) | ||

MATH 2270 | Differential Equations with Dynamical Systems I | 3 |

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 5310 | Advanced Linear Algebra | 3 |

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 Units | 30-36 |

### Teaching Mathematics Concentration (26 units)

(Program Code: MATM)

Lower-division requirements (4) | ||

MATH 2900 | Problem Solving and Mathematical Reasoning for Teachers I | 4 |

Upper-division requirements (16) | ||

MATH 3345 | Number Theory | 3 |

MATH 3460 | Probability Theory | 3 |

MATH 3480 | Topics in History of Mathematics | 3 |

MATH 4900 | Problem Solving and Mathematical Reasoning for Teachers II | 4 |

MATH 5900 | Senior Seminar for Future Mathematics Educators | 3 |

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 Units | 26 |