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

MATH19ACalculus for Science, Engineering, and Mathematics

5

MATH19BCalculus for Science, Engineering, and Mathematics

5

MATH23AVector Calculus

5

MATH23BVector Calculus

5

or these courses

MATH20AHonors Calculus

5

MATH20BHonors Calculus

5

MATH23AVector Calculus

5

MATH23BVector Calculus

5

Upper-Division Courses

Complete one of the following sequences:

Either these courses

AM10Mathematical Methods for Engineers I

5

AM20Mathematical Methods for Engineers II

5

or these courses

MATH21Linear Algebra

5

MATH24Ordinary Differential Equations

5

or these courses

PHYS116AMathematical Methods in Physics

5

PHYS116BMathematical 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.

Plus one course from each of the following categories:

Probability Theory
CSE107Probability and Statistics for Engineers

5

STAT131Introduction to Probability Theory

5

Dynamical Systems:
AM114Introduction to Dynamical Systems

5

AM214Applied Dynamical Systems

5

Introduction to Numerical Methods:
AM147Computational Methods and Applications

5

PHYS115Computational Physics

5

Partial Differential Equations:
AM212AApplied Mathematical Methods I

5

PHYS116CMathematical Methods in Physics

5

MATH107Partial Differential Equations

5

Plus one applied-mathematics elective from the following list:

Applied Mathematics elective:

AM107
/PHYS 107
Introduction to Fluid Dynamics

5

AM115Stochastic Modeling in Biology

5

AM198Independent Study or Research

5

AM212BApplied Mathematical Methods II

5

AM213ANumerical Linear Algebra

5

AM213BNumerical Methods for the Solution of Differential Equations

5

AM215Stochastic Modeling in Biology

5

AM216Stochastic Differential Equations

5

AM217Introduction to Fluid Dynamics

5

AM231Nonlinear Control Theory

5

AM232Applied Optimal Control

5

AM250An Introduction to High Performance Computing

5

ECE103Signals and Systems

5

ECE115Introduction to Solid Mechanics

5

ECE141Feedback Control Systems

5

MATH103AComplex Analysis

5

MATH117Advanced Linear Algebra

5

MATH121ADifferential Geometry

5

PHYS105Mechanics

5

PHYS139AQuantum Mechanics I

5

PHYS139BQuantum Mechanics II

5

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

5

STAT132Classical and Bayesian Inference

5

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