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 this course

AM 30Multivariate Calculus for Engineers

5

Plus 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.

Upper Division Courses

Complete one course from each of the following categories

Mathematical Methods
AM 100Mathematical Methods for Engineers

5

Dynamical Systems
AM 114Introduction to Dynamical Systems

5

Introduction to Numerical Methods
AM 147Computational Methods and Applications

5

PHYS 115Computational Physics

5

MATH 148Numerical Analysis

5

Partial Differential Equations
AM 112Introduction to Partial Differential Equations

5

PHYS 116CMathematical Methods in Physics

5

MATH 107Partial Differential Equations

5

Plus one applied-mathematics elective from the following list:

Any 5-credit upper-division (100-199) or graduate (200-299) AM course that is not already listed in the categories above. Independent studies (AM 198), and AM 200, 211, 296, 297, and 299 may not be used.

CSE 107Probability and Statistics for Engineers

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 131Introduction to Probability Theory

5

STAT 132Classical and Bayesian Inference

5

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