| MATH 304 | Vector Analysis | 4 |
| MATH 344 | Linear Analysis II | 4 |
| MATH 350 | Mathematical Software | 4 |
| or CSC/CPE 202 | Data Structures | |
| MATH 410 | Complex Analysis I | 4 |
| MATH 413 | Introduction to Analysis II | 4 |
| MATH 416 | Differential Equations II | 4 |
| or MATH 418 | Partial Differential Equations | |
| MATH 451 | Numerical Analysis I | 4 |
| STAT 301 | Statistics I | 4 |
| or STAT 305 | Introduction to Probability and Simulation | |
| Tracks | ||
| Select courses from one of the following tracks. 1,2 | 12 | |
Track A | ||
| Graph Theory | ||
| Theory of Numbers | ||
| Linear Algebra III | ||
| Complex Analysis II | ||
| Introduction to Analysis III | ||
| Differential Equations II | ||
| Partial Differential Equations | ||
| Discrete Mathematics with Applications I | ||
| Game Theory | ||
| Numerical Analysis II | ||
| Numerical Optimization | ||
| Senior Project Applied Seminar | ||
| Senior Project I and Senior Project II | ||
| Advanced Topics in Applied Mathematics | ||
| Abstract Algebra II | ||
| Abstract Algebra III | ||
Track B | ||
| Introduction to Data Science | ||
| Data Science Process and Ethics and Data Science Projects Laboratory 3 | ||
| Graph Theory | ||
or MATH 435 | Discrete Mathematics with Applications I | |
or MATH 453 | Numerical Optimization | |
| Approved Electives | 12 | |
Select three courses in one of the following categories, with at least one course at the 300-level or above. 4,5 | ||
Physics Category: | ||
| Planetary Systems | ||
| Stars and Galaxies | ||
| Cosmology | ||
| General Physics II | ||
or PHYS 143 | General Physics III | |
| Modern Physics I | ||
| Thermal Physics I | ||
| Classical Mechanics I | ||
| Classical Mechanics II | ||
| Introduction to Atmospheric Physics | ||
| Ocean Dynamics | ||
| Special Theory of Relativity | ||
| Optics | ||
| Quantum Computing | ||
| Quantum Mechanics I | ||
| Electromagnetic Fields and Waves I | ||
| Solid State Physics | ||
| Nonlinear Dynamical Systems | ||
Statistics Category: | ||
| Statistics II | ||
| Introduction to Probability and Simulation | ||
| Design and Analysis of Experiments I | ||
| Statistical Computing with SAS | ||
| Statistical Computing with R | ||
| Applied Linear Models | ||
| Statistical Analysis of Time Series | ||
| Survival Analysis Methods | ||
| Categorical Data Analysis | ||
| Applied Multivariate Statistics | ||
| Survey Sampling and Methodology | ||
| Design and Analysis of Experiments II | ||
| Probability Theory | ||
| Estimation and Sampling Theory | ||
| Mathematical Statistics | ||
Computer Science Category: | ||
| Data Structures | ||
| Project-Based Object-Oriented Programming and Design | ||
| Introduction to Computer Organization | ||
| Quantum Computing | ||
| Design and Analysis of Algorithms | ||
| Systems Programming | ||
| Introduction to Database Systems | ||
| Bioinformatics Algorithms | ||
Mechanical Engineering Category: | ||
| Engineering Statics | ||
| Engineering Dynamics | ||
| Thermodynamics I | ||
| Intermediate Dynamics | ||
| Fluid Mechanics I | ||
Economics Category: | ||
| Intermediate Microeconomics I | ||
| Intermediate Microeconomics II | ||
| Intermediate Macroeconomics | ||
| Industrial Organization | ||
| Mathematical Economics | ||
| Probability Models for Economic Decisions | ||
| Total units | 56 | |
| 1 | Only students in the Applied Mathematics concentration who are pursuing a Data Science minor should select Track B. |
| 2 | Students who select Track B should select Approved Electives from the Statistics Category that will fulfill prerequisites for courses in the Data Science minor. |
| 3 | DATA 401 and DATA 403 must be taken concurrently with DATA 402. |
| 4 | Consultation with advisor is recommended prior to selecting Approved Electives; bear in mind your selections may impact pursuit of post-baccalaureate studies and/or goals. |
| 5 | Other choices are also possible, and should be pre-approved in consultation with an academic advisor. Approved Electives are to be taken oustide of the Mathematics department and should have significant applications to mathematics. |