The primary aim of applied mathematics is to elucidate scientific concepts and to describe and predict phenomena through the use of mathematics. The applied mathematician is at once a mathematical specialist and a systems analyst whose task is to confront complex real-world problems with mathematical analysis. In business and industry the applied mathematician has opportunities to utilize both background and training in solving problems of a practical nature. To do so, one must know the mathematical theories involved and have an appreciation for the specific science or technology that provides the source of the problem.

The B.S. Degree Program prepares students in four stages:

- Required Courses (39) units: these courses are core courses in mathematics required of all students who major in mathematics.
- Elective Courses (6 units): advance mathematics courses.
- Applications Courses (9 units): a coherent collection of three courses emphasizing applications of mathematics, chosen with the consent of the applied mathematics program advisor.
- Capstone Experience (6 units):
- One course emphasizing the interdependence of different areas of mathematics, chosen with the consent of the applied mathematics program advisor. Such courses include MATH 430 Mathematics of Optimization, MATH 460 Mathematical Modeling, and MATH 490 Mathematics Seminar.
- MATH 696-697 Applied Mathematics Project I-II.

At least six upper division units in mathematics for this major must be completed at SFSU.

#### Required Courses (39 units)

Course | Title | Units |

MATH 226 | Calculus I | 4 |

MATH 227 | Calculus II | 4 |

MATH 228 | Calculus III | 4 |

CSC 210 CSC 309 MATH 309 |
Introduction to Computer Programming or Computer Programming for Scientists and Engineers or Computation in Mathematics |
3 |

MATH 324 MATH 441 |
Probability and Statistics with Computing or Probability and Statistics II |
3 |

MATH 325 | Linear Algebra | 3 |

MATH 335 MATH 370 |
Modern Algebra or Real Analysis I |
3 |

MATH 376 | Ordinary Differential Equations I | 3 |

MATH 400 | Numerical Analysis | 3 |

MATH 440 | Probability and Statistics I | 3 |

MATH 460 MATH 490 |
Mathematical Modeling or Mathematics Seminar |
3 |

MATH 696 MATH 697 |
Applied Mathematics Project I, II | 3 |

#### Mathematics Electives (6 Units)

Two courses selected from the following:

Course | Title | Units |

MATH 301 | Exploration and Proof | 3 |

PHYS 385 | Introduction to Theoretical Physics I | 3 |

MATH 380 | Introduction to Functions of a Complex Variable | 3 |

MATH 430 | Mathematics of Optimization | 3 |

MATH 442 | Probability Theory | 3 |

MATH 477 | Partial Differential Equations | 3 |

#### Elective Packages (9 Units)

A coherent collection of three courses emphasizing applications of mathematics, chosen with the consent of the Applied Mathematics Advisor. Such samples include

- A Computer Science Package (Assembly Language Programming, Data Structures, Analysis of Algorithms I)
- A Decision Sciences and Computing Information Systems Package (Operations Management, Applied Management Science, Information Systems Analysis and Design)
- A Statistics Package (Introduction SAS, Introduction to Linear Models, Introduction to Statistical Learning and Data Mining)
- An Engineering Package (Computer Methods in Engineering, Systems Analysis, Control Theory)
- A Physics Package (General Physics with Calculus II, Analytical Mechanics I, Theoretical Physics)

#### Capstone Experience (6 units)

Course | Title | Units |

MATH 430 MATH 460 MATH 490 |
Mathematics of Optimization or Mathematical Modeling or Mathematics Seminar |
3 |

MATH 696 MATH 697 |
Applied Mathematics Project I, II | 3 |

- It is important to be aware that these projects are intended to provide an applied mathematics students experience in applying mathematics to a variety of scientific problems. MATH 696 (1 unit) is intended for the student to gain an acquaintance and background for the overall project. MATH 697 (2 units) is intended for the student to carry out a rigorous study of the project. Completion of the study requires an oral presentation as well as a written report.
- MATH 696 is a prerequisite for MATH 697. As such they cannot be taken in the same semester.
- Students intending to take MATH 696 should approach a faculty member to act as the supervisor/instructor in the semester prior to the semester in which the student will enroll in the course. The prospectus for MATH 696/697 can be found here. Only after completing the prospectus and submitting it to the Mathematics Department for approval can the student receive a permission number for adding the course.

CR/NC grades are not acceptable in courses required for the mathematics major or minor program.

If you have any questions regarding the Applied Mathematics BS, please contact Dr. David Ellis.