## 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, rhr2@cornell.edu.

## Eligibility

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.

## Requirements

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

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

### Group 1. Analysis

- AEP 4210: Mathematical Physics I
- MATH 3230: Introduction to Differential Equations
- MATH 4200: Differential Equations and Dynamical Systems
- MAE 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 two may be chosen:

- AEP 4220: 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

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
- MAE 4730/5730: Intermediate Dynamics and Vibrations
- MAE 5790: Nonlinear Dynamics and Chaos
- MAE 6810: Methods of Applied Mathematics I
- MAE 6820: 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.