# 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:

Students interested in later pursuing an M.S. degree in scientific computing and applied mathematics, or in applied mathematics, are strongly encouraged to take the graduate courses AM 212A and AM 214 instead of the undergraduate courses AM 112 and AM 114.

##### 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 |

#### 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.