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 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:

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 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:

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.