# Applied Mathematics Minor

The applied mathematics minor is available for students who wish to develop (1) proficiency in modeling real-life problems using mathematics; and (2) knowledge of standard, practical analytical and numerical methods for the solution of these models. This minor could be combined with a major in any of the physical, biological, mathematical, or engineering sciences as preparation for a graduate degree in that field or in applied mathematics.

## Course Requirements

### Lower-Division Courses

Basic calculus sequence:

Either these courses | ||

MATH 19A | Calculus for Science, Engineering, and Mathematics | 5 |

MATH 19B | Calculus for Science, Engineering, and Mathematics | 5 |

or these courses | ||

MATH 20A | Honors Calculus | 5 |

MATH 20B | Honors Calculus | 5 |

AND | ||

Either these courses | ||

MATH 23A | Vector Calculus | 5 |

MATH 23B | Vector Calculus | 5 |

or these courses | ||

AM 30 | Multivariate Calculus for Engineers | 5 |

AM 100 | Mathematical Methods for Engineers | 5 |

### Upper-Division Courses

#### Complete one of the following sequences:

Either these courses | ||

AM 10 | Mathematical Methods for Engineers I | 5 |

AM 20 | Mathematical Methods for Engineers II | 5 |

or these courses | ||

MATH 21 | Linear Algebra | 5 |

MATH 24 | Ordinary Differential Equations | 5 |

or this course | ||

PHYS 116A | Mathematical Methods in Physics | 5 |

**Note:** Students who complete MATH 21 and MATH 24 or PHYS 116A are strongly recommended to complete the MATLAB self-paced tutorial.

#### Plus one course from each of the following categories:

##### Probability Theory

CSE 107 | Probability and Statistics for Engineers | 5 |

STAT 131 | Introduction to Probability Theory | 5 |

##### Dynamical Systems:

AM 114 | Introduction to Dynamical Systems | 5 |

AM 214 | Applied Dynamical Systems | 5 |

##### Introduction to Numerical Methods:

AM 147 | Computational Methods and Applications | 5 |

PHYS 115 | Computational Physics | 5 |

##### Partial Differential Equations:

AM 112 | Introduction to Partial Differential Equations | 5 |

AM 212A | Applied Partial Differential Equations | 5 |

PHYS 116C | Mathematical Methods in Physics | 5 |

MATH 107 | Partial Differential Equations | 5 |

**Revised:**08/16/22--Probability Theory, Dynamical Systems, Introduction to Numerical Methods, and Partial Differential Equations requirements previously erroneously omitted.

#### Plus one applied-mathematics elective from the following list:

AM 107
/PHYS 107
| Introduction to Fluid Dynamics | 5 |

AM 115 | Stochastic Modeling in Biology | 5 |

AM 129 | Foundations of Scientific Computing for Scientists and Engineers | 5 |

AM 198 | Independent Study or Research | 5 |

AM 212B | Applied Mathematical Methods II | 5 |

AM 213A | Numerical Linear Algebra | 5 |

AM 213B | Numerical Methods for the Solution of Differential Equations | 5 |

AM 215 | Stochastic Modeling in Biology | 5 |

AM 216 | Stochastic Differential Equations | 5 |

AM 217 | Introduction to Fluid Dynamics | 5 |

AM 231 | Nonlinear Control Theory | 5 |

AM 232 | Applied Optimal Control | 5 |

AM 250 | An Introduction to High Performance Computing | 5 |

ECE 103 | Signals and Systems | 5 |

ECE 115 | Introduction to Solid Mechanics | 5 |

ECE 141 | Feedback Control Systems | 5 |

MATH 103A | Complex Analysis | 5 |

MATH 117 | Advanced Linear Algebra | 5 |

MATH 121A | Differential Geometry | 5 |

PHYS 105 | Mechanics | 5 |

PHYS 139A | Quantum Mechanics I | 5 |

PHYS 139B | Quantum Mechanics II | 5 |

PHYS 171
/ASTR 171
| General Relativity, Black Holes, and Cosmology | 5 |

STAT 132 | Classical and Bayesian Inference | 5 |

Students may also propose other electives which use applied mathematical methods, subject to approval by the department.