This is the default curriculum required for students who do not declare a concentration.
| STAT 301 | Statistics I | 4 |
| or STAT 305 | Introduction to Probability and Simulation | |
| Tracks | ||
| Choose three tracks from the following list, with at least one track chosen from the first four tracks listed. A track consists of two paired courses representing depth of study with a particular focus. 1 | 24 | |
| Introduction to Analysis II and Introduction to Analysis III | ||
| Abstract Algebra II and Abstract Algebra III | ||
or MATH 406 | Linear Algebra III | |
| Linear Algebra III and Introduction to Analysis II | ||
or MATH 440 | Topology I | |
| Abstract Algebra II and Introduction to Analysis II | ||
or MATH 440 | Topology I | |
| Vector Analysis and Introduction to Differential Geometry | ||
| Graph Theory and Discrete Mathematics with Applications I | ||
| Linear Analysis II and Differential Equations II | ||
or MATH 418 | Partial Differential Equations | |
| Theory of Numbers and Game Theory | ||
| Complex Analysis I and Complex Analysis II | ||
| Euclidean Geometry and Modern Geometries | ||
| Numerical Analysis I and Numerical Analysis II | ||
or MATH 453 | Numerical Optimization | |
| Approved Electives | ||
| Select from the following: 2 | 16 | |
| Data Structures | ||
| Project-Based Object-Oriented Programming and Design | ||
| Design and Analysis of Algorithms | ||
| Introduction to Database Systems | ||
| Vector Analysis | ||
| Graph Theory | ||
| Theory of Numbers | ||
| Linear Analysis II | ||
| Mathematical Software | ||
| Introduction to Differential Geometry | ||
| Linear Algebra III | ||
| Complex Analysis I | ||
| Complex Analysis II | ||
| Introduction to Analysis II | ||
| Introduction to Analysis III | ||
| Differential Equations II | ||
| Partial Differential Equations | ||
| Introduction to the History of Mathematics | ||
| Discrete Mathematics with Applications I | ||
| Game Theory | ||
| Topology I | ||
| Euclidean Geometry | ||
| Modern Geometries | ||
| Numerical Analysis I | ||
| Numerical Analysis II | ||
| Numerical Optimization | ||
| Senior Project Seminar | ||
or MATH 460 | Senior Project Applied Seminar | |
| Senior Project I and Senior Project II | ||
| Selected Advanced Topics | ||
| Advanced Topics in Mathematics 3 | ||
| Advanced Topics in Applied Mathematics 3 | ||
| Abstract Algebra II | ||
| Abstract Algebra III | ||
| Discrete Mathematics with Applications II | ||
| Topology II | ||
| General Physics II | ||
or PHYS 143 | General Physics III | |
| Modern Physics I | ||
| Thermal Physics I | ||
| Classical Mechanics I | ||
| Optics | ||
| Quantum Computing | ||
| Quantum Mechanics I | ||
| Electromagnetic Fields and Waves I | ||
| Statistics I | ||
| Statistics II | ||
| Introduction to Probability and Simulation | ||
| Probability Theory | ||
| Estimation and Sampling Theory | ||
| Mathematical Statistics | ||
| Total units | 44 | |
| 1 | A single course cannot be used to satisfy multiple tracks. |
| 2 | 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. |
| 3 |
San Luis Obispo, California 93407