Applied Mathematics (Minor)
Duffield College of Engineering
Program Description
Offered jointly by the Sibley School of Mechanical and Aerospace Engineering and Department of Mathematics.
All Engineering undergraduates affiliated with all Engineering majors are eligible to participate in the Applied Mathematics minor.
Academic Standards
Grade Requirements
Each course must be completed with a grade of C or better to count toward the minor.
Minor Requirements
To complete the minor, students must take MATH 2930 Differential Equations for Engineers, MATH 2940 Linear Algebra for Engineers, and at least six (6) courses beyond MATH 2940 Linear Algebra for Engineers, to be chosen as follows:
- At most one course may be chosen from each of groups 1-4.
- 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.
Note: Students will not receive credit for MATH 4200 Differential Equations and Dynamical Systems (Group 1) and MAE 5790 Nonlinear Dynamics and Chaos/MATH 4210 Nonlinear Dynamics and Chaos (Group 6) if both are taken.
Group 1: Analysis
| Code | Title | Hours |
|---|---|---|
| MATH 4200 | Differential Equations and Dynamical Systems | 3 |
Group 2: Computational Methods
| Code | Title | Hours |
|---|---|---|
| CS 4210 | Numerical Analysis and Differential Equations | 4 |
| ENGRD 3200 | Engineering Computation (crosslisted) | 4 |
| ORIE 3300 | Optimization I | 4 |
Group 3: Probability and Statistics
| Code | Title | Hours |
|---|---|---|
| CEE 3040 | Uncertainty Analysis in Engineering | 4 |
| ECE 3100 | Introduction to Probability and Inference for Random Signals and Systems | 4 |
| ENGRD 2700 | Eng Probability and Statistics: Modeling and Data Science | 4 |
| MATH 4710 | Basic Probability | 4 |
| ORIE 3500 | Eng Probability and Statistics: Modeling and Data Science II | 4 |
Group 4: Applications
| Code | Title | Hours |
|---|---|---|
| AEP 3330 | Mechanics of Particles and Solid Bodies | 4 |
| CEE 3310 | Fluid Mechanics | 4 |
| CEE 3710 | Structural Modeling and Behavior | 4 |
| CHEME 3230 | Fluid Mechanics | 4 |
| CS 2800 | Mathematical Foundations of Computing | 4 |
| CS 2850 | Networks | 3 |
| ECE 4250 | Digital Signal Processing and Statistical Inference | 4 |
| MAE 3230 | Introductory Fluid Mechanics | 4 |
| MSE 3030 | Thermodynamics of Condensed Systems | 4 |
| MATH 3610 | Mathematical Modeling | 4 |
Group 5: Advanced Courses
| Code | Title | Hours |
|---|---|---|
| MATH 4200 | Differential Equations and Dynamical Systems | 3 |
Only one of the following two may be chosen:
| Code | Title | Hours |
|---|---|---|
| ECE 4110 | Random Signals in Communications and Signal Processing | 4 |
| ORIE 3510 | Stochastic Processes for Decision-Making (crosslisted) | 4 |
Also, you may choose from:
| Code | Title | Hours |
|---|---|---|
| CS 4220 | Numerical Analysis: Linear and Nonlinear Problems (crosslisted) | 4 |
| CS 4820 | Introduction to Analysis of Algorithms | 4 |
| ORIE 3310 | Optimization II | 4 |
| ORIE 4330 | Discrete Models | 4 |
| ORIE 4350 | Introduction to Game Theory | 4 |
| ORIE 5600 | Financial Engineering with Stochastic Calculus I | 4 |
| MAE 4730 | Intermediate Dynamics | 3 |
| MAE 5730 | Intermediate Dynamics | 3 |
| ORIE 5610 | Financial Engineering with Stochastic Calculus II | 4 |
| MAE 5790 | Nonlinear Dynamics and Chaos | 3 |
| or MATH 4210 | Nonlinear Dynamics and Chaos | |
| MAE 6700 | Advanced Dynamics | 3 |
| MAE 6810 | Methods of Applied Mathematics I | 3 |
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:
-
if any course from group 1 is chosen:
Course List Code Title Hours MATH 4200 Differential Equations and Dynamical Systems 3 - if any course from group 3 is chosen:
Course List Code Title Hours MATH 4710 Basic Probability 4 - Only one of the following may be chosen:
Course List Code Title Hours MATH 3320 Introduction to Number Theory 4 MATH 3360 Applicable Algebra 4
Graduation Requirements for Engineering Minor Degree Programs
Requirements
Students may pursue minors in any department in any college that offers them, subject to limitations placed by the department offering the minor or by the students' major. Completed minors will appear on the student's transcript. Not all departments offer minors. Additional information on specific minors can be found above, in the Engineering Undergraduate Handbook, in the undergraduate major office of the department or school offering the minor, and in Engineering Advising.
An engineering minor recognizes formal study of a particular subject area in engineering normally outside the major. Students undertaking a minor are expected to complete the requirements during the time of their continuous undergraduate enrollment at Cornell. Completing the requirements for an engineering minor (along with a major) may require more than the traditional eight semesters at Cornell. However, courses that fulfill minor requirements may also satisfy other degree requirements (e.g., distribution courses, advisor-approved, or major-approved electives), and completion within eight semesters is possible.
An engineering minor requires:
- successful completion of all requirements for an undergraduate degree.
- enrollment in a major that approves participation in the minor.
- satisfactory completion of six courses (at least 18 credits) in a college-approved minor.
Students may apply for certification of a minor at any time after the required course work has been completed in accordance with published standards. An official notation of certification of a minor appears on the Cornell transcript following graduation.