Program Overview
Introduction to the Mathematics Program
The Department of Mathematics offers a Bachelor of Science (B.S.) in Mathematics, with three tracks: a pure track, a specialization in Mathematics for Education, and a Concentration in Mathematics for Education/Secondary Teaching certification. Additionally, the department offers a B.S. in Applied and Computational Mathematics, with concentrations in Data Science and Mathematical Finance, as well as a specialization in Mathematical Biology, and a minor in Mathematics and Mathematics for Biology.
Program Overview
Undergraduate mathematics courses are designed to cater to various student needs, including those preparatory to advanced work in mathematics, the exact sciences, and engineering, as well as courses for students of the social and biological sciences, and liberal arts students. Students may be admitted to the Mathematics major as freshmen, via change of major, or as transfer students from other colleges and universities.
Admission Requirements
For transfer student admission, preference is given to junior-level applicants with the highest grades overall and who have satisfactorily completed the required coursework of one year of approved calculus. Additional coursework in multivariable calculus, linear algebra, and differential equations is strongly recommended. All students must meet the University Requirements.
Core Requirements for All Mathematics Majors
- Complete:
- MATH 2A-2B: Single-Variable Calculus I and Single-Variable Calculus II
- MATH 2D: Multivariable Calculus I
- MATH 3A: Introduction to Linear Algebra
- MATH 3D: Elementary Differential Equations
- MATH 9: Introduction to Programming for Numerical Analysis
- MATH 13: Introduction to Abstract Mathematics
- MATH 120A: Introduction to Abstract Algebra: Groups
- MATH 121A: Linear Algebra I
- MATH 130A: Probability I
- MATH 140A-140B: Elementary Analysis I and Elementary Analysis II
- Select one three-quarter lecture course sequence from the following:
- CHEM 1A-1B-1C: General Chemistry and General Chemistry and General Chemistry
- PHYSICS 7C-7D-7E: Classical Physics and Classical Physics and Classical Physics
- STATS 7- MATH 10- PHYSICS 7C: Basic Statistics and Introduction to Programming for Data Science and Classical Physics
Requirements for the Pure Mathematics Major
- Core requirements for all Mathematics majors
- Lower-Division Requirements:
- Complete:
- MATH 2E: Multivariable Calculus II
- Complete:
- Upper-Division Requirements:
- Complete:
- MATH 120B: Introduction to Abstract Algebra: Rings and Fields
- MATH 121B: Linear Algebra II
- MATH 147: Complex Analysis
- Five additional four-unit MATH lecture courses numbered
- Complete:
Concentration and Specialization
The Department offers one concentration and one specialization, both of which require the completion of an application and an interview with the faculty advisor. Admission into a concentration or specialization is not guaranteed.
Requirements for Mathematics Major with a Specialization in Mathematics for Education
- Admission to this specialization requires approval in advance by the Mathematics Department.
- Complete Core Requirement A
- Replace item B in the Core Requirements with:
- STATS 7- PHYSICS 7C- MATH 10: Basic Statistics and Classical Physics and Introduction to Programming for Data Science
- Complete:
- MATH 8: Explorations in Functions and Modeling
- MATH 105A-105LA: Numerical Analysis I and Numerical Analysis Laboratory
- MATH 120B: Introduction to Abstract Algebra: Rings and Fields
- MATH 150: Introduction to Mathematical Logic
- MATH 161: Modern Geometry
- MATH 180A: Number Theory I
- MATH 184-184L: Topics in the History of Mathematics and History of Mathematics Lesson Lab
- Plus two additional four-unit MATH courses numbered
- Complete:
- PHY SCI 5: California Teach 1: Introduction to Science and Mathematics Teaching
- PHY SCI 105: California Teach 2: Middle School Science and Mathematics Teaching
Requirements for Mathematics Major with a Concentration in Mathematics for Education/Secondary Teaching Certification
- Admission to this concentration requires approval in advance.
- Complete Core Requirement A
- Replace item B in the Core Requirements with:
- STATS 7- PHYSICS 7C- MATH 10: Basic Statistics and Classical Physics and Introduction to Programming for Data Science
- Complete:
- MATH 8: Explorations in Functions and Modeling
- MATH 105A-105LA: Numerical Analysis I and Numerical Analysis Laboratory
- MATH 120B: Introduction to Abstract Algebra: Rings and Fields
- MATH 150: Introduction to Mathematical Logic
- MATH 161: Modern Geometry
- MATH 180A: Number Theory I
- MATH 184-184L: Topics in the History of Mathematics and History of Mathematics Lesson Lab
- Plus two additional four-unit MATH courses numbered
- Complete:
- MATH 192: Studies in the Learning and Teaching of Secondary Mathematics (Two quarters) or PHYSICS 193: Research Methods or CHEM 193: Research Methods
- EDUC 55: Knowing and Learning in Mathematics and Science
- EDUC 109: Reading and Writing in Mathematics and Science
- EDUC 143AW: Classroom Interactions I
- EDUC 143BW: Classroom Interactions II
- EDUC 148: Complex Pedagogical Design
- EDUC 158: Student Teaching Mathematics and Science in Middle/High School (Two quarters)
- PHY SCI 5: California Teach 1: Introduction to Science and Mathematics Teaching
- PHY SCI 105: California Teach 2: Middle School Science and Mathematics Teaching
Note
Students may pursue either the concentration in Mathematics for Education/Secondary Teaching Certification or the specialization in Mathematics for Education, but not both. Students majoring in Mathematics may not minor in Mathematics or Mathematics for Biology and may not double major in Applied and Computational Mathematics. Likewise, students majoring in Applied and Computational Mathematics may not minor in Mathematics or Mathematics for Biology and may not double major in Mathematics. Students wishing to specialize or concentrate within the Mathematics major may only do so in one specialization/concentration.