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Minor: Applied Mathematics

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Offered jointly by: Sibley School of Mechanical and Aerospace Engineering and the Department of Mathematics

Students intending to earn a minor in Applied Mathematics should seek advice and preapproval of their minor academic program from Professor Richard Rand,


Engineering undergraduates affiliated with all Engineering Majors are eligible to participate in the Applied Mathematics minor.

Educational Objectives

This minor is aimed at providing a focus for students who are interested in applied mathematics.


Students must take MATH 2930, MATH 2940, and at least six (6) courses beyond MATH 2940, to be chosen as follows:

(a) At most one course may be chosen from any one of groups 1, 2, 3, or 4.
(b) At least three courses must be chosen from groups 5 and 6.
(c) At most one 2000-level course may be chosen.
(d) At most one course may be chosen that is offered by the student’s Major department.

Group 1. Analysis

  • AEP 3210: Mathematical Physics I
  • MATH 3230: Introduction to Differential Equations
  • MATH 4200: Differential Equations and Dynamical Systems
  • TAM 3100: Introduction to Applied Mathematics I

Group 2. Computational Methods

  • CS 4210: Numerical Analysis and Differential Equations
  • ENGRD 3200: Engineering Computation
  • ENGRD 3220: Introduction to Scientific Computation
  • ORIE 3300: Optimization I

Group 3. Probability and Statistics

  • CEE 3040: Uncertainty Analysis in Engineering
  • ECE 3100: Introduction to Probability and Inference for Random Signals and Systems
  • ENGRD 2700: Basic Engineering Probability and Statistics
  • MATH 4710: Basic Probability
  • ORIE 3500: Engineering Probability and Statistics II

Group 4. Applications

  • AEP 3330: Mechanics of Particles and Solid Bodies
  • CEE 3310: Fluid Mechanics
  • CEE 3710: Structural Modeling and Behavior
  • CHEME 3230: Fluid Mechanics
  • CS 2800: Discrete Structures
  • CS 2850: Networks
  • ECE 3200: Networks and Systems
  • ECE 4250: Digital Signal Processing
  • MAE 3230: Introductory Fluid Mechanics
  • MSE 3030: Thermodynamics of Condensed Systems

Group 5. Advanced Courses

Only one of the following three may be chosen: 

  • AEP 3220: Mathematical Physics II
  • MATH 4220: Applied Complex Analysis

Only one of the following two may be chosen: 

  • ECE 4110: Random Signals in Communications and Signal Processing
  • ORIE 3510: Introductory Engineering Stochastic Processes I


  • TAM 5700: Intermediate Dynamics

You may also choose from: 

  • CS 3810: Introduction to Theory of Computing
  • CS 4820: Introduction to Analysis of Algorithms
  • ORIE 3310: Optimization II
  • ORIE 4330: Discrete Models
  • ORIE 4350: Introduction to Game Theory
  • ORIE 4520: Introductory Engineering Stochastic Processes II
  • ORIE 5600: Financial Engineering with Stochastic Calculus I
  • ORIE 5610: Financial Engineering with Stochastic Calculus II
  • TAM 5780: Nonlinear Dynamics and Chaos
  • TAM 6100: Methods of Applied Mathematics I
  • TAM 6110: Methods of Applied Mathematics II

Group 6. Mathematics Courses

Any 3000+ level course offered by the Mathematics Department in algebra, analysis, probability/statistics, geometry, or logic, with the following exceptions:

(i) MATH 3230 or MATH 4200, if any course from group 1 is chosen.
(ii) MATH 4710, if any course from group 3 is chosen.
(iii) MATH 4220, if AEP 3220 is chosen from group 5.
(iv) Only one of the following may be chosen: 

  • MATH 3320: Introduction to Number Theory
  • MATH 3360: Applicable Algebra

Academic Standards

At least C in each course in the minor.