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.

Students are required to take the following courses:

Course Requirements

Lower-Division Courses

Basic calculus sequence:

Either these courses

MATH 19ACalculus for Science, Engineering, and Mathematics

5

MATH 19BCalculus for Science, Engineering, and Mathematics

5

or these courses

MATH 20AHonors Calculus

5

MATH 20BHonors Calculus

5

AND

Either these courses

MATH 23AVector Calculus

5

MATH 23BVector Calculus

5

or these courses

AM 30Multivariate Calculus for Engineers

5

AM 100Mathematical Methods for Engineers

5

Upper-Division Courses

Complete one of the following sequences:

Either these courses

AM 10Mathematical Methods for Engineers I

5

AM 20Mathematical Methods for Engineers II

5

or these courses

MATH 21Linear Algebra

5

MATH 24Ordinary Differential Equations

5

or this course

PHYS 116AMathematical 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 107Probability and Statistics for Engineers

5

STAT 131Introduction to Probability Theory

5

Dynamical Systems:
AM 114Introduction to Dynamical Systems

5

AM 214Applied Dynamical Systems

5

Introduction to Numerical Methods:
AM 147Computational Methods and Applications

5

PHYS 115Computational Physics

5

Partial Differential Equations:
AM 112Introduction to Partial Differential Equations

5

AM 212AApplied Partial Differential Equations

5

PHYS 116CMathematical Methods in Physics

5

MATH 107Partial Differential Equations

5

Plus one applied-mathematics elective from the following list:

Applied Mathematics elective:

AM 107
/PHYS 107
Introduction to Fluid Dynamics

5

AM 115Stochastic Modeling in Biology

5

AM 129Foundations of Scientific Computing for Scientists and Engineers

5

AM 198Independent Study or Research

5

AM 212BApplied Mathematical Methods II

5

AM 213ANumerical Linear Algebra

5

AM 213BNumerical Methods for the Solution of Differential Equations

5

AM 215Stochastic Modeling in Biology

5

AM 216Stochastic Differential Equations

5

AM 217Introduction to Fluid Dynamics

5

AM 231Nonlinear Control Theory

5

AM 232Applied Optimal Control

5

AM 250An Introduction to High Performance Computing

5

ECE 103Signals and Systems

5

ECE 115Introduction to Solid Mechanics

5

ECE 141Feedback Control Systems

5

MATH 103AComplex Analysis

5

MATH 117Advanced Linear Algebra

5

MATH 121ADifferential Geometry

5

PHYS 105Mechanics

5

PHYS 139AQuantum Mechanics I

5

PHYS 139BQuantum Mechanics II

5

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

5

STAT 132Classical and Bayesian Inference

5

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