# 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.
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