# 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*

**Biological and Biomedical Engineering** (6 courses total, two may be used to satisfy major requirements)

The core knowledge and understanding that is intended to comprise the bioengineering minor is as follows: Students will learn to use the tools of engineering analysis with fundamentals of the engineering and life sciences to enliven the understanding of living organisms, medical treatments and biochemical pathways and to provide quantitative predictions and insight towards the design of medical and biological devices and processes.

The course work required comprises six classes, two of which may satisfy a requirement in the student's major, as follows:

1. Two courses beyond the introductory level of biology, to ensure strong proficiency in Biology. One must be BIOS 30341, Cell Biology, or its equivalent. Vertebrate Physiology is recommended.

- BIOS 20303, Genetics (Spring semester only)
- BIOS 30344, Physiology (Spring and fall)

Or another advanced course approved by the program director. Students must attain prerequisites for these courses by scoring 5 on the BIOS AP exam, completion of CHEM 10122, or by taking BIOS 20201 and 20202.

2. A core introductory bioengineering course (CBE 30386) is required. Primary topics include:

- Use of engineering analysis to describe biological systems starting with mass and energy balances;
- Basic mechanics applied to biological systems (conservation of momentum), applications to joints and locomotion, and cell deformation (and response);
- Charge conservaton and application to engineering systems (synapses, etc.); and
- Chemical aspects of biological response (e.g., from forces) with applications to biological materials.

3. An elective sequence of three engineering courses taken from one of the following concentration areas:

- Biomaterials

CBE 40456, Polymer Engineering

CBE 40483, Biomolecular Engineering (Spring)

AME 50571, Biomaterials (Spring) - Biomechanics

AME 50571, Biomaterials

AME 60671, Orthopedic Biomechanics

AME 60672, Cell Mechanics

AME 60673, Human Body Kinematics

PHYS 40371, Medical Physics - Biotransport/Microdevices

CBE 30357, Biotransport

AME 60675, Biofluid Mechanics

CBE 40481, Biomedical Transport

CBE 40485, Biological Thermodynamics

CBE 60589, Engineering Applications of Medical Physiology

EE 40432, Intro to Systems Biology - Tissue Engineering and Biomaterials

CBE 40479, Tissue Engineering (Spring)*

AME 77108, Tissue Engineering*

CBE 40483, Topics in Biomolecular Engineering (Spring)

CBE 41910, Biomolecular Engineering Lab (Fall)

AME 50571, Biomaterials (Spring) - Molecular and Cellular Bioengineering

CBE 40483, Biomolecular Engineering (Spring)

CBE 41910, Biomolecular Engineering Lab (Fall)

CBE 60589, Engineering Applications of Medical Physiology (Fall)

EE 40432, Intro to Systems Biology

PHYS 40432, Biological Physics

* Only one of these courses can be counted toward the minor. Students wishing to study abroad may complete these requirements based on equivalent or similar course work offered in the London, Dublin, or Perth programs. Please contact Professor Niebur in advance to discuss possible courses.

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**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.

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 50051 or PHYS 50051 - Numerical PDE Techniques for Scientists and Engineers
- ACMS 50052 - Numerical PDE Techniques for Scientists and Engineers II
- 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 60614 - Numerical Methods
- CBE 20258 - Computational Methods in Chemical Engineering** [CBE 20255]
- CBE 40439 - Simulation and Optimization
- CBE 40447 - Computational Chemistry
- CBE 40455 - Process Operations
- CBE 40575 - Molecular Modeling/Simulation
- 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 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 40530 - Wind Turbine Performance, Control and Design
- AME 50531 - Intermediate Thermodynamics [AME 20231]
- AME 50532 - Computational Fluid Dynamics [AME 30331]
- AME 50535 - Energy Systems [AME 30331, AME 30334
- 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 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 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 50542 - Engineering Analysis of Manufacturing Processes
- 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 30341 - Aerospace Structures*
- AME 50541 - Finite Element Methods for Structural Analysis
- AME 60624 - Continuum Mechanics
- AME 60641 - Advanced Mechanics of Solids
- AME 60645 - Advanced Mechanical Behavior of Materials
- AME 60646 - Failure of Materials

- 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 60633 - Introduction to Acoustics and Noise
- AME 60634 - Intermediate Heat Transfer
- AME 60635 - Intermediate Fluid Mechanics
- AME 60638 - Turbine Engine Components
- AME 60639 - Advanced Aerodynamics
- AME 60675 - Cardiovascular Fluid Mechanics

- 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 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

- AME 40401- Energy, Technology and Policy
- AME 40431 - Gas Turbines and Propulsion (ME only)
- AME 40530 - Wind Turbine Performance, Control and Design
- 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 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