Applied Mathematics, Statistics, and Scientific Computation Program - University of Maryland

Applied Mathematics & Statistics, and Scientific Computation

Application Area Qualifying Exam

In the case that coursework can be counted as the exam requirement, the student must obtain at least one A and one B.

Students are strongly encouraged to submit a Study Advisory Plan to ensure their qualifying exam requirement in the application area is met.

Department of Aerospace Engineering

2 courses/6 credits must be taken from any of the core courses in the following concentrations listed below.

Rotorcraft:

  • ENAE 631 Helicopter Aerodynamics I (3)
  • ENAE 633 Helicopter Dynamics (3)
  • ENAE 788R Helicopter Dynamics II (?)
  • ENAE 634 Helicopter Design (3)
  • ENAE 635 Helicopter Stability & Control (3)

Flight Dynamics & Control:

  • ENAE 641 Linear System Dynamics (3)
  • ENAE 642 Atmospheric Flight Control (3)
  • ENAE 646 Advanced Dynamics of Aero Systems (3)
  • ENAE 647 Flexible Multibody Dynamics (3)
  • ENAE 742 Robust Multivariable Control (3)
  • ENAE 743 App. NL control of Aerospace Vehicles (3)
  • ENAE 788B Aircraft System Identification (?)

Structures:

  • ENAE 651 Smart Structures (3)
  • ENAE 652 Computational Structural Mechanics (3)
  • ENAE 653 Nonlinear Finite Element Analysis (3)
  • ENAE 654 Mechanics of Composite Structures (3)
  • ENAE 655 Structural Dynamics (3)
  • ENAE 656 Aeroelasticity (3)
  • ENAE 757 Advanced Structural Dynamics (3)
  • ENAE 788E Electro-Mechanical System Modeling (3)
  • ENAE 788M Introduction to Morphing Aircraft (?)
  • ENAE 788W Smart Fluids and Applications(?)
  • ENAE 788P Analysis of Structural Elements (3)

Aerodynamics & Propulsion:

  • ENAE 663 Intro to Plasmas for Space Prop/Powr (3)
  • ENAE 665 Advanced Airbreathing Propulsion (3)
  • ENAE 667 Adv. Space Propulsion and Power (3)
  • ENAE 673 Aerodynamics of Incompressible Fluids (3)
  • ENAE 674 Aerodynamics of Compressible Fluids (3)
  • ENAE 675 Unsteady and Inviscid Aerodynamics (?)
  • ENAE 676 Turbulence (3)
  • ENAE 682 Hypersonic Aerodynamics (3)
  • ENAE 683 High Temperature Gasdynamics (3)
  • ENAE 684 Computational Fluid Dynamics I (3)
  • ENAE 685 Computational Fluid Dynamics II (3)
  • ENAE 788A Fundamentals of Explosions I (3)
  • ENAE 788J/Y Fundamentals of Explosions II (3)

Space Systems:

  • ENAE 601 Astrodynamics (3)
  • ENAE 602 S/C Attitude Dynamics & Control (3)
  • ENAE 691 Satellite Design (3)
  • ENAE 692 Intro to Space Robotics (3)
  • ENAE 694 Spacecraft Communications (3)
  • ENAE 696 Spacecraft Thermal Design (3)
  • ENAE 697 Space Human Factors & Life Support (3)
  • ENAE 741 Interplanetary Navigation & Guidance (3)
  • ENAE 788D Advanced Space Systems Design (3)
  • ENAE 603 Near-Earth Object Exploration (3)
  • ENAE 788X Planetary Surface Robotics (?)
  • ENAE 791 Launch & Entry Vehicle Design (3)

Department of Astronomy

2 courses/6 credits must be taken from the core courses listed below:        

  • ASTR 601 Radiative Processes  (3)
  • ASTR 606 Stellar Structure and Evolution  (3)
  • ASTR 610 Astronomical Instrumentation and Techniques  (3)
  • ASTR 615 Computational Astrophysics  (3)
  • ASTR 620 Galaxies  (3)
  • ASTR 622 Cosmology  (3)
  • ASTR 630 Planetary Science  (3)
  • ASTR 670 Interstellar Medium and Gas Dynamics (3)
  • ASTR 680 High Energy Astrophysics (3)

Department of Atmospheric & Oceanic Science

2 courses/6 credits must be taken from the 6 AOSC core courses listed below. 
  • AOSC 610 Dynamics of the Atmosphere and Oceans I
  • AOSC 611 Dynamics of the Atmosphere and Oceans II
  • AOSC 617 Atmosphere and Oceanic Climate
  • AOSC 620 Physics and Chemistry of the Atmosphere I
  • AOSC 621 Physics and Chemistry of the Atmosphere II
  • AOSC 680 Introduction to Earth System Science

Department of Biology

2 courses/6 credits must be taken from the core courses in the following concentrations listed below. In the case that 2 courses is only equivalent to 4 credits, the student must take 3 courses to equal 6 credits. 

Molecular and Cell Biology (MOCB):

  • CBMG 688D Cell Biology I: Structure and Function (2 credits)
  • BCHM 661  Nucleic acids (2 credits)
  • CBMG 688F Gene Expression (2 credits)
  • CBMD 688I Genetic Analysis (2 credits)

Computational Biology, Bioinformatics, and Genomics (CBBG):

  • CBMG 688Y Bioinformatics and Genomics (2 credits)
  • CBMG 688P Programming for Biology (2 credits)

Marine-Estuarine-Environmental-Sciences Program (MEES):

  • MEES 620  Coupled Human & Natural Systems (4)
  • MEES 640  Interconnected Earth Systems: Land, Ocean, and Estuary (3)
  • MEES 660 Ecological Systems (?)
  • MEES 680 Cell and Molecular Biology for Environmental (?)

Neuroscience and Cognitive Science (NACS):

  • NACS 600 Ethics in Scientific Research (2)
  • NACS 640 Foundational Readings (taken in the first semester) (2)
  • NACS 642 Cognitive Neuroscience (4)
  • NACS 645 Cognitive Science (4)
  • NACS 641 Introduction to Neurosciences (4)
  • NACS 643 Computational Neuroscience (4)
  • NACS 644 Cellular and Molecular Neuroscience (?)

College of Business and Management

A comprehensive exam in Management Science is defined as an exam comprised of two subject areas, to be chosen by the student among the following courses:
  • BMGT 830 Operations Research: Linear Programming
  • BMGT 831 Operations Research: Extension of Linear Programming and Network Analysis
  • BMGT 832 Operations Research: Optimization and Nonlinear Programming
  • BMGT 833 Operations Research: Integer Programming
  • BMGT 834 Operations Research: Probabalistic Models
  • BMGT 835 Simulation and Design of Experiments
  • BMGT 836 Advanced Topics in Linear Programming
  • BMGT 882 Applied Multivariate Analysis I
  • BMGT 883 Applied Multivariate Analysis II
  • BMGT 808 Operations Research: Special Topics
To sit for the comprehensive exam, a student is not required to take the respective courses at the Smith School, or in any other department at the University of Maryland. If the student does not take the respective course(s) at the Smith School, however, the student is responsible for getting the syllabus from the instructor currently teaching the respective course(s) to learn about the expectations for the exam(s).

Department of Chemical and Biomolecular Engineering

2 courses/6 credits must be taken from the core courses listed below:

  • ENCH 610 Chemical Engineering Thermodynamics (3)
  • ENCH 620 Methods of Engineering Analysis (3)
  • ENCH 630 Transport Phenomena (3)
  • ENCH 640 Advanced Chemical Reaction Kinetics (3)

Department of Civil and Environmental Engineering

2 courses/6 credits must be taken from the core courses in the following concentrations listed below:

Core courses for Environmental:

  • ENCE 650 Process Dynamics of Environmental Systems (3)
  • ENCE 651 Chemistry of Natural Waters (3)
  • ENCE 652 Microbiological Principles of Environmental Engineering (3)

Water Resources:

  • ENCE 630 Environmental and Water Resources Systems I (3)

Core courses for Transportation:

  • ENCE 670 Highway Traffic Characteristics and Measurements  (3)
  • ENCE 672 Regional Transportation Planning  (3)
  • ENCE 673 Urban Transportation (3)
  • ENCE 677 OR Models for Transportation Systems Analysis  (3)

Core courses Project Management:

  • ENCE 627 Project Risk Management  (3)
  • ENCE 661 Project Cost Accounting & Finance (3)
  • ENCE 662 Fundamentals of Project Management (3)
  • ENCE 664 Legal Aspects of Engineering Design & Construction (3)
  • ENCE 665 Managing Project Teams: Improving Individual and Team Performance  (3)

Department of Computer Science

2 courses/6 credits must be taken from the core courses in the following concentrations listed below. (Note 400 level courses will not count as a qual course, but may be used as an elective. See course requirements for details.)

Artificial Intelligence:

  • CMSC 620 Problem Solving Methods in Artificial Intelligence
  • CMSC 720 Logic for Problem Solving
  • CMSC 721 Non-Monotonic Reasoning
  • CMSC 722 Artificial Intelligence Planning
  • CMSC 723 Computational Linguistics I (Formerly: Natural Language Processing)
  • CMSC 726 Machine Learning
  • CMSC 727 Neural Modeling
  • CMSC 773 Computational Linguistics II
Computer Systems:
  • CMSC 411 Computer Systems Architecture(Not a valid qualifying course for MS or Phd after Fall 99)
  • CMSC 412 Operating Systems
  • CMSC 414 Computer Security
  • CMSC 415 Systems Programming
  • CMSC 417 Computer Networks (Upper-level Fall 99 and prior)
  • CMCS 615 Advanced Computer Architecture
  • CMSC 710 Performance Evaluation of Computer Systems
  • CMSC 711 Computer Networks
  • CMSC 712 Distributed Algorithms and Verification
  • CMSC 713 Real-time Systems
  • CMSC 714 High Performance Computing
Database Systems:
  • CMSC 420 Data Structures
  • CMSC 423 Bioinformatic Algorithms, Databases and Tools
  • CMSC 424 Database Design
  • CMSC 624 Database Systems Implementation (Inactive Course)
  • CMSC 724 Database Management Systems
  • CMSC 725 Geographic Information Systems and Spatial Databases
Software and Programming Languages:
  • CMSC 430 Theory of Language Translation
  • CMSC 433 Programming Language Technologies and Paradigms
  • CMSC 630 Theory of Programing Languages
  • CMSC 631 Program Analysis and Understanding
  • CMSC 731 Programming Language Implementation
  • CMSC 737 Fundamentals of Software Testing
Software Engineering and HCI:
  • CMSC 434 Introduction to Human-Computer Interaction
  • CMSC 435 Software Engineering
  • CMSC 632 Software Product Assurance
  • CMSC 634 Empirical Research Methods for Computer Science
  • CMSC 732 Compiling for Vector and Parallel Architecture
  • CMSC 735 Quantitative Approach to Software Management and Engineering
  • CMSC 736 Software Engineering Environments
  • CMSC 737 Fundamentals of Software Testing
Algorithms and Computation Theory:
  • CMSC 450 Elementary Logic and Algorithms(Not a valid qualifying course for MS or Phd after Fall 01)
  • CMSC 451 Design and Analysis of Computer Algorithms
  • CMSC 452 Elementary Theory of Computation
  • CMSC 456 Cryptology
  • CMSC 475 Combinatorics and Graph Theory
  • CMSC 477 Optimization
  • CMSC 650 Theory of Computing
  • CMSC 651 Analysis of Algorithms
  • CMSC 652 Complexity Theory
  • CMSC 750 Advanced Theory of Computation(Inactive Course)
  • CMSC 751 Parallel Algorithms
  • CMSC 752 Concrete Complexity
  • CMSC 753 Mathematical Linguistics
  • CMSC 754 Computational Geometry
Visual and Geometric Computing:
  • CMSC 420 Data Structures
  • CMSC 426 Image Processing
  • CMSC 427 Computer Graphics (MS only. Cannot get graduate credit for both CMSC 427 and CMSC 740)
  • CMSC 725 Geographic Information Systems and Spatial Databases
  • CMSC 740 Advanced Computer Graphics
  • CMSC 741 Geometric and Solid Modeling
  • CMSC 733 Computer Processing of Pictorial Information
  • CMSC 754 Computational Geometry

Department of Economics

Students must pass written examinations in microeconomic and macroeconomic theory at the doctoral level. Each exam may be attempted twice. If a student passes one exam but fails the other, then the student needs to re-take only the failed exam. If a student fails both, then the student must re-take both at the same time. Students who fail one or both exams twice will be asked to leave the program.

While no courses are required, normal preparation includes

  • ECON 601 Macroeconomic Analysis I
  • ECON 602 Macroeconomic Analysis II
  • ECON 603 Microeconomic Analysis I
  • ECON 604 Microeconomic Analysis II
These examinations are typically given in the third full week of June and in the last week in August, one week before the start of the Fall semester. Students who wish to take comprehensive exams must sign up in advance with the Graduate Studies Coordinator of the Economics Department.

Department of Electrical Engineering

A student may take multiple application area qualifying exams by taking courses in different specialties. For example a student could take 2 CORE courses (6 credits) from Communications and Signal Processing and 2 CORE courses (6 credits) from Electrophysics.

The list of courses can be found here.

Department of Epidemiology and Biostatistics

2 CORE courses (6 credits) can be taken from the Department of Epidemiology and Biostatistics. A comprehensive list of courses offered may be found at the following link, but the department should be contacted regarding which courses constitute the core curriculum.

Department of Linguistics

One course sequence (2 core courses/6 credits) must be taken from the following list:

  • LING 610, 611 Syntax
  • LING 620, 621 Phonology
  • LING 640, 641 Psycholinguistics
  • LING 660, 661 Semantics
  • LING 723, 773 Computational Linguistics

Department of Mechanical Engineering

2 courses/6 credits must be taken from the core courses listed below:

  • ENME 605 Advanced Systems Control: Linear Systems (3)
  • ENME 610 Engineering Optimization (3)
  • ENME 625 Multidisciplinary Optimization (3)
  • ENME 632 Advanced Convection Heat Transfer (3)
  • ENME 635 Energy Systems Analysis
  • ENME 640 Fundamentals of Fluid Mechanics
  • ENME 642 Hydrodynamics I
  • ENME 657 Analysis of Turbulent Flow
  • ENME 662 Linear Vibrations (3)
  • ENME 673 Energy and Variational Methods in Applied Mechanics (?)
  • ENME 700 Advanced Mechanical Engineering Analysis (?)
  • ENME 808B Computational Methods in Science and Engineering (?)
  • ENRE 620 Mathematical Techniques of Reliability Engineering (3)
  • ENRE 655 Advanced Methods in Reliability Modeling (3) 
  • ENRE 600 Fundamentals of Failure Mechanisms (3)
  • ENRE 602 Reliability Analysis (3)

Department of Physics

Students in AMSC interested in taking physics qualifying exams should contact the Graduate Chair of the Physics program to discuss their study advisory plan.

The written examination consists of two parts:

Classical Physics & Special Relativity:

  • PHYS 601 Theoretical Dynamics
  • PHYS 603 Methods of Statistical Physics
Quantum Physics (PHYS 606, 622-623):
  • PHYS 606 Electrodynamics
  • PHYS 622 Quantum Mechanics I
  • PHYS 623 Quantum Mechanics II
Each part consists of five problems and students are required to answer four out of five. The problems are generally at the level of the core graduate courses. Both parts are offered twice a year - once in late August, once in late January - and both parts must be passed, with the following stipulations:
  • A student may take one or both parts at any offering. The student will pass or fail each part attempted separately.

  • A student is allowed to sit for only three offerings of the written examination, irrespective of how many parts are attempted at each offering.

  • Students are required to make their first attempt at the written examination one year after matriculation in the Ph.D. program (August of their second year for students matriculating in August, January of their second year for students matriculating in January) and are required to complete all attempts within one year (two additional offerings) of their first attempt (see below for exceptions).

  • If a students performance on the written examination is marginal (one or both parts) he/she may be granted an oral examination. Oral exams will only be offered in cases where the student is positioned to pass the entire written examination, i.e., both parts. In particular, students who have not yet passed one part of the written examination will not be given an oral examination for marginal performance on the other part. The Oral Exam Committee will determine pass or fail for the entire Qualifying Examination and will consider the students overall record in making this judgment.

  • If a student has failed at all allowed attempts at the written examination he/she may petition the Graduate Committee for an appeal oral examination within two weeks of receiving his/her scores. The Committee will only grant an appeal oral in cases where it believes the students overall record (including the performance on the written examination) warrants obtaining the additional information the oral examination will provide. If an appeal oral is granted the Graduate Committee will make the final decision on pass or fail evaluating input from the Oral Exam Committee and the students overall record.

Programs

Applied Mathematics

Applied Statistics

Scientific Comptuation

Applied Mathematics Concentration

AM Overview

AM Doctorate

AM Master's (Without Thesis)

AM Master's (With Thesis)

AM Qualifying Exam Requirements

AM Qualifying Exam Requirements

AM Application Area Qualifying Exam

Flowcharts

AM and SC Flowchart (interactive)

AS Flowchart (interactive)