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2022-23 UCSC General Catalog
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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.

Students are required to take the following courses:

Basic calculus sequence:

Either these courses | ||

MATH19A | Calculus for Science, Engineering, and Mathematics | 5 |

MATH19B | Calculus for Science, Engineering, and Mathematics | 5 |

MATH23A | Vector Calculus | 5 |

MATH23B | Vector Calculus | 5 |

or these courses | ||

MATH20A | Honors Calculus | 5 |

MATH20B | Honors Calculus | 5 |

MATH23A | Vector Calculus | 5 |

MATH23B | Vector Calculus | 5 |

Either these courses | ||

AM10 | Mathematical Methods for Engineers I | 5 |

AM20 | Mathematical Methods for Engineers II | 5 |

or these courses | ||

MATH21 | Linear Algebra | 5 |

MATH24 | Ordinary Differential Equations | 5 |

or these courses | ||

PHYS116A | Mathematical Methods in Physics | 5 |

PHYS116B | Mathematical Methods in Physics | 5 |

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

CSE107 | Probability and Statistics for Engineers | 5 |

STAT131 | Introduction to Probability Theory | 5 |

AM114 | Introduction to Dynamical Systems | 5 |

AM214 | Applied Dynamical Systems | 5 |

AM147 | Computational Methods and Applications | 5 |

PHYS115 | Computational Physics | 5 |

AM212A | Applied Mathematical Methods I | 5 |

PHYS116C | Mathematical Methods in Physics | 5 |

MATH107 | Partial Differential Equations | 5 |

Applied Mathematics elective:

AM107
/PHYS 107
| Introduction to Fluid Dynamics | 5 |

AM115 | Stochastic Modeling in Biology | 5 |

AM198 | Independent Study or Research | 5 |

AM212B | Applied Mathematical Methods II | 5 |

AM213A | Numerical Linear Algebra | 5 |

AM213B | Numerical Methods for the Solution of Differential Equations | 5 |

AM215 | Stochastic Modeling in Biology | 5 |

AM216 | Stochastic Differential Equations | 5 |

AM217 | Introduction to Fluid Dynamics | 5 |

AM231 | Nonlinear Control Theory | 5 |

AM232 | Applied Optimal Control | 5 |

AM250 | An Introduction to High Performance Computing | 5 |

ECE103 | Signals and Systems | 5 |

ECE115 | Introduction to Solid Mechanics | 5 |

ECE141 | Feedback Control Systems | 5 |

MATH103A | Complex Analysis | 5 |

MATH117 | Advanced Linear Algebra | 5 |

MATH121A | Differential Geometry | 5 |

PHYS105 | Mechanics | 5 |

PHYS139A | Quantum Mechanics I | 5 |

PHYS139B | Quantum Mechanics II | 5 |

PHYS171
/ASTR 171
| General Relativity, Black Holes, and Cosmology | 5 |

STAT132 | Classical and Bayesian Inference | 5 |

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