# Minors and Concentrations

## Minors and Concentrations

**Minors administered by AME**

**Other Engineering Minors**

### Minors

As per the document "Standards for Minors, Concentrations and Certificate Programs within the College of Engineering," students should have had:

- Five three-credit courses from one of the lists below to qualify for the respective minor;
- At most one of these five can satisfy a requirement in the student's major; and,
- At least three of the courses must be from other than the student's major department.

The lists consist of courses that are currently being taught, although there exists the possibility of additions, modifications and amalgamations in the future. Some of the courses listed may not be offered every year, and some may have pre-requisites which must be respected (listed alongside in brackets). The minors are contemplated for engineering majors only.

Additional information can be found at https://engineering.nd.edu/about/minors

http://bme.nd.edu/undergraduate-minor/requirements

**Computational Engineering**

The Computational Engineering Minor will provide the students with a solid grounding in the application of computational methods to various engineering problems such as fluid mechanics, structural analysis, elasticity, optimization, etc. With a fundamental understanding of the problems being solved and the numerical methods used to determine solutions, students are prepared to properly interpret the results, recognize the limitations of the methods employed, etc.

One of the following courses must be taken to fulfill the requirements for the minor:

- AME 50532 - Computational Fluid Dynamics [AME 30331]
- AME 50541 - Finite Element Methods for Structural Analysis [AME 20241]
- CE 60130 or CSE 60130 or ACMS 60590 - Finite Elements in Engineering

Any of the following courses may be taken in order to fulfill the requirements for the Computational Engineering Minor:

- ACMS 20210 - Scientific Computing*
- ACMS 40212 - Advanced Scientific Computing
- ACMS 40390 or MATH 40390 - Numerical Analysis [Math 20570 or Math 20860 or Math 30650 or ACMS 20750]***
- ACMS 40395 - Numerical Linear Algebra [Math 20610 or ACMS 20620, and ACMS 40390 or Math 40390]
- ACMS 40630 - Nonlinear Dynamical Systems
- ACMS 40730 - Mathematical/Computational Modeling
- ACMS 40760 - Introduction to Stochastic Modeling
- ACMS 50051 or PHYS 50051 - Numerical PDE Techniques for Scientists and Engineers
- ACMS 50052 - Numerical PDE Techniques for Scientists and Engineers II
- ACMS 60395 - Numerical Linear Algebra
- ACMS 60612 - Advanced Scientific Computing
- ACMS 60690 - Numerical Analysis I***
- ACMS 60790 - Numerical Analysis II
- AME 20214 - Introduction to Engineering Computing * [EG 10112]
- AME 40510 - Introduction to Numerical Methods**
- AME 50532 - Computational Fluid Dynamics [AME 30331]
- AME 50541 - Finite Element Methods for Structural Analysis [AME 20241]
- AME 50559 - Statistical Computing Methods for Scientists and Engineers
- AME 60614 - Numerical Methods
- AME 60620 - Multiscale Modeling
- AME 60649 - Molecular Level Modeling for Engineering Applications
- CBE 20258 - Computational Methods in Chemical Engineering** [CBE 20255]
- CBE 40455 - Process Operations
- CE 30125 or CSE 30125 - Computational Methods**
- CE 40140 - Applied/Computational Probability for Engineers; Uncertainty Quantification and Propogation
- CE 60130 or CSE 60130 or ACMS 60590 - Finite Elements in Engineering
- CE 60263 - Finite Element Methods in Structural Mechanics
- CSE 20189 - Basic UNIX for Engineers
- CSE 20232 - C/C++ Programming [EG 10111 or EG 10112, AND MATH 10550]
- CSE 40113 - Design/Analysis of Algorithms [CSE 30331, CSE 20232]
- CSE 40166 - Computer Graphics
- CSE 40171 - Introduction to Artificial Intelligence
- CSE 40431 - Programming Languages
- CSE 40755 - Parallel Computing
- MATH 30720 - Discrete Fourier and Wavelet Transforms
- MATH 50510 - Computer Programming/ Problem Solving
- PHYS 30421 - Scientific Programming

*Only one of these courses will be counted.

**Only one of these courses will be counted.

***Only one of these courses will be counted.

**Energy Engineering**

Energy is clearly of pressing national and international concern, the fact of which is evidenced by recognition by Notre Dame in the creation of the Center for Sustainable Energy. The factual details of the nature of the technological energy needs facing society and the manner in which academia, and Notre Dame in particular, are addressing them were the focus of a recent article in the Signatures Magazine and include the following subjects:

- Blackouts, the stability of the power grid and other reliability issues in energy distribution;
- Energy efficiency and policy;
- The politics of power;
- Sources of energy and the related environmental concerns;
- Carbon dioxide capture and storage;
- Nuclear energy and the associated difficulties;
- Clean coal technology, and;
- Biofuels;

The Energy Engineering Minor parallels the institutional commitment reflected in the creation of the Center for Sustainable Energy at the undergraduate level by providing undergraduates with the educational background necessary to confront this important technological issue of the current time.

The following courses may be taken in order to fullfil the requirements for the Energy Engineering Minor:

- AME 20231 - Thermodynamics*
- AME 40401 - Energy, Technology and Policy
- AME 40431 - Gas Turbines and Propulsion [AME 30331]
- AME 40472 - Electrical and Hybrid Vehicles
- AME 40530 - Wind Turbine Performance, Control and Design
- AME 47431 - Special Studies: Designing Energy-Efficient Buildings
- AME 50531 - Intermediate Thermodynamics [AME 20231]
- AME 50532 - Computational Fluid Dynamics [AME 30331]
- AME 50535 - Energy Systems [AME 30331, AME 30334
- AME 50539 - Photovoltaic System Design for Engineers
- AME 53631 - Molecular Thermodynamics [not in catalog]
- AME 60634 - Intermediate Heat Transfer [AME 30334]
- AME 60636 - Fundamentals of Combustion [AME 30334]
- AME 60638 - Turbine Engine Components [AME 40431]
- CBE 20256 - Chemical Engineering Thermodynamics*
- CBE 40425 - Energy, Economics, and Environment
- CBE 40435 - Electrochemical Energy and Storage
- CBE 40498 - Energy and Climate
- EE 30372 - Electric Machinery and Power Systems [EE 20234, PHYS 10320]
- EE 47010 - Alternative Energy Devices and Materials [PHYS 20330]
- EE 40472 - Electrical and Hybrid Vehicles [EE 20234, PHYS 10320]
- EE 47015 - Electric Vehicles and the Power Grid [EE 20234, PHYS 10320]
- PHYS 30461 - Thermal Physics [PHYS 20454]

*Only one of these courses will be counted.

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### Concentrations

Though students are not required to choose or to complete a concentration, the Department offers several concentration which can be used for specializations. For it to qualify as a concentration, at least three courses indicated in the list below must be taken. Students should make sure that they have the necessary prerequisites that may not be part of the concentration. In the last semester before graduation, students should complete a change of major form available from the Administrative Assistant. If a concentration is properly completed, the concentration will be included on the student's final transcript.

*Additional information can be found at https://engineering.nd.edu/about/concentrations*

The following are the courses included in each concentration. AEs cannot opt for the Aerospace concentration. Courses that are required in a program (marked below with* for AE and ** for ME) cannot be used as part of a concentration for that program.

- AME 30332 - Compressible Aerodynamics
- AME 30333 - Theoretical and Experimental Aerodynamics
- AME 30341 - Aerospace Structures
- AME 30381 - Orbital and Space Dynamics
- AME 40431 - Gas Turbines and Propulsion
- AME 40451 - Aerospace Dynamics
- AME 40461 - Flight Mechanics and Introduction to Design
- AME 50581 - Space Systems and Analysis
- AME 60630 - Microparticle Dynamics
- AME 60631 - Experimental Methods in Fluids
- AME 60632 - Physical Gas Dynamics
- AME 60638 - Turbine Engine Components
- AME 60639 - Advanced Aerodynamics

- BIOS 30341 - Cellular Biology
- BIOS 31341 - Cell Biology Laboratory
- BIOS 34333 - Vertebrate Physiology
- BIOS 40411 - Biostatistics
- BIOS 40417 - Human Musculoskeletal Anatomy
- CBE 30386 - Introduction to Bioengineering
- CBE 40481 - Biomedical Engineering Transport Phenomena
- CBE 40483 - Topics in Biomolecular Engineering
- CBE 41910 - Biomolecular Engineering Lab
- EE 40432 - Introduction to Systems Biology
- PHYS 40371 - Medical Physics
- AME 50571 - Structural Aspects of Biomaterials
- AME 60671 - Orthopaedic Biomechanics
- AME 60672 - Cell Mechanics
- AME 60673 - Kinematics of Human Motion

- AME 30362 - Design Methodology**
- AME 30363 - Design of Machine Elements**
- AME 47431 - Special Studies: Designing Energy-Efficient Buildings
- AME 50542 - Engineering Analysis of Manufacturing Processes
- AME 50548 - Next-Generation Nano-Scale Manufacturing of Biomedical Systems
- AME 50551 - Introduction to Robotics
- AME 50561 - Reliability Engineering
- AME 60642 - Manufacturing Systems
- AME 60654 - Advanced Kinematics
- AME 60661 - Optimum Design of Mechanical Elements
- AME 60662 - Topology Optimization
- AME 60742 - Metal Forming
- CE 35620 - Community-Based Engineering Design Projects
- DESN 40201 or 41201 - Collaborative Product Development

- AME 30341 - Aerospace Structures*
- AME 50541 - Finite Element Methods for Structural Analysis
- AME 50572 - Introduction to Biomechanics
- AME 60624 - Continuum Mechanics
- AME 60625 - Advanced Structural Dynamics
- AME 60641 - Advanced Mechanics of Solids
- AME 60645 - Advanced Mechanical Behavior of Materials
- AME 60646 - Failure of Materials
- AME 60741 - Computational Nonlinear Solid Mechanics
- AME 60742 - Metal Forming

- AME 30332 - Compressible Aerodynamics*
- AME 30333 - Theoretical and Experimental Aerodynamics*
- AME 40431 - Gas Turbines and Propulsion*
- AME 50531 - Intermediate Thermodynamics
- AME 50532 - Computational Fluid Dynamics
- AME 60624 - Continuum Mechanics
- AME 60631 - Experimental Methods in Fluids
- AME 60632 - Physical Gas Dynamics
- AME 60633 - Introduction to Acoustics and Noise
- AME 60634 - Intermediate Heat Transfer
- AME 60635 - Intermediate Fluid Mechanics
- AME 60636 - Fundamentals of Combustion
- AME 60637 - Ionization and Ion Transport
- AME 60638 - Turbine Engine Components
- AME 60639 - Advanced Aerodynamics
- AME 60676 - Biofluid and Bioheat Transfer
- AME 60675 - Cardiovascular Fluid Mechanics
- CE 60130 - Finite Elements in Engineering

- AME 50542 - Engineering Analysis of Manufacturing Processes
- AME 60645 - Advanced Mechanical Behavior of Materials
- AME 60646 - Failure of Materials
- CBE 30361 - Science of Engineering Materials**
- CBE 30362 - Laboratory Techniques in Materials Science
- CBE 40461 - Structure of Solids
- CBE 60556 - Polymer Engineering
- CHEM 30324 - Physical Chemistry for Engineers

**Control and Mechanical Systems**

- AME 30381 - Orbital and Space Dynamics*
- AME 40423 - Mechanisms and Machines**
- AME 40451 - Aerospace Dynamics*
- AME 50521 - Intermediate Dynamics
- AME 50551 - Introduction to Robotics
- AME 50650 - Applied Nonlinear Analysis and Control
- AME 50652 - Intermediate Controls
- AME 60623 - Analytical Dynamics
- AME 60651 - Advanced Vehicle Dynamics
- AME 60654 - Advanced Kinematics
- AME 60673 - Kinematics of Human Motion
- EE 40455 - Control Systems

- AME 50532 - Computational Fluid Dynamics
- AME 50541 - Finite Element Methods for Structural Analysis
- AME 60614 - Numerical Methods
- AME 40510 - Introduction to Numerical Methods

- CE 30125 or CSE 30125 - Computational Methods*

- CE 60130 or CSE 60130 or ACMS 60590 - Finite Elements in Engineering

- CSE 20232 - C/C++ Programming [EG 10111 or EG 10112, AND MATH 10550]
- CSE 40755 - Parallel Computing

- MATH 20210 - Computer Programming and Problem Solving
- ACMS 40390 or MATH 4030 - Numerical Analysis

** only one of these will count*

- AME 40401- Energy, Technology and Policy
- AME 40431 - Gas Turbines and Propulsion (ME only)
- AME 40530 - Wind Turbine Performance, Control and Design
- AME 47431 - Special Studies: Designing Energy-Efficient Buildings
- AME 50531 - Intermediate Thermodynamics
- AME 50532 - Computational Fluid Dynamics
- AME 50535 - Energy Systems
- AME 53631 - Molecular Thermodynamics
- AME 60634 - Intermediate Heat Transfer
- AME 60636 - Fundamentals of Combustion
- AME 60638 - Turbine Engine Components
- CBE 40425 - Energy, Economics, and Environment
- CBE 40435 - Electrochemical Energy and Storage
- CBE 40498 - Energy and Climate
- CBE 40911 - Fuel Cells Science and Technology
- EE 30372 - Electric Machinery and Power Systems
- EE 40472 - Electrical and Hybrid Vehicles
- EE 47010 - Alternative Energy Devices and Materials
- EE 47015 - Electric Vehicles and the Power Grid
- PHYS 30461 - Thermal Physics

**da Vinci (dVC)**

The Department offers the da Vinci Concentration (dVC) available to BSME majors with sophomore standing. The concentration is inspired by Leonardo da Vinci, an exemplar of a Renaissance scholar, whose skill set included engineering. This concentration may appeal to those who seek distinction in their engineering education by allowing additional focus on the liberal arts. The linchpin of the concentration is as follows: students admitted into the dVC will be allowed to count as technical electives three courses (at three credits/course) from the University of Notre Dame's College of Arts and Letters. Two of those courses will qualify as a General Technical Elective, and one as an AME Technical Elective. Courses counted towards a dVC cannot be used to fulfill any other program options within the College of Engineering or University. It is essential that the three liberal arts courses have a coherent intellectual theme as well as depth. The intention of the program is to allow students to pursue topics that are likely not obviously related to their professional degree, but allow them to take advantage of the "universal'' nature of knowledge nurtured at a "University.'' As such, themes that have no straightforward resonance with engineering, e.g. history, theology, literature, language, etc., are especially encouraged. Completion of the dVC also requires students in their final term at Notre Dame to register in a zero credit course in AME. The requirement of this course will be for the student to give a thirty minute oral presentation to a committee. The committee is composed of two AME faculty members, and is organized by the dVC student. The committee assigns an S/U grade. Approval will depend on course availability and consistency of the proposed program with the goals of the dVC. If you choose to drop out of the program at any time, you will then be required to complete all of the ordinary technical elective requirements of the BSME. Consideration requires signatures of the representatives of AME and the College of Arts and Letters listed at the bottom. Final decisions for admission will be made within AME.