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Ph.D. Sample Program - Biomedical Engineering

BME Home | BME Ph.D. | Requirements | Sample Program

Year 1
1st year Medical School basic sciences curriculum. (Molecules and Cells, Immunology, Neuroscience, and Physiology). This program fulfills the biology curriculum, although students will usually want to take additional advanced seminars in neuroscience. These courses usually fill a student’s time during the first year and are supplemented with rotations.

Year 2 or Years 1 & 2 Electives in the Engineering and Physical Sciences
The following curriculum is to be completed in Year 2 if taking the SOM basic life sciences track or in Years 1-2 if taking the alternative track. Students are required to take at least 2 courses per semester in Year 2, with at least one of these being at the 600/700 level. Curricula are to be designed with the guidance of the student’s mentor. Suggested electives are given below for each track (choose 4 of 6 each semester). Qualifiers are taken either at the end of the second year or in the middle of the third year.


Medical Imaging Systems Computational Vision and Image Understanding Geometry, Shape and Computational Anatomy
Fall
110.405 Analysis I
520.414 Image Processing and Analysis I
520.651 Random Signals
550.420 Introduction to Probability
550.437 Information, Statistics and Perception
  TBN (Radiology)
 
Spring
110.406 Analysis II
520.415 Image Processing and Analysis II
550.426 Stochastic Processes
580.472 Medical Imaging Systems
  TBN (Radiology)
  TBN (Radiology)
 
Fall
110.405 Analysis I
520.414 Image Processing and Analysis I
520.651 Random Signals
550.420 Introduction to Probability
550.437 Information, Statistics and Perception
600.357 Computer Graphics
 
Spring
110.406 Analysis II
520.415 Image Processing and Analysis II
520.630 Introduction to the Calculus of Variations and Optimal Control
520.652 Filtering & Smoothing
550.426 Stochastic Processes
550.730 Topics in Statistics: Statistical Pattern Recognition
 
Fall
110.405 Analysis I
110.439 Introduction to Differential Geometry
520.414 Image Processing and Analysis I
520.651 Random Signals
530.648 Group Theory in Engineering Design
550.420 Introduction to Probability
 
Spring
110.406 Analysis II
110.417 Partial Differential Equations for Applications
520.415 Image Processing and Analysis II
520.630 Introduction to the Calculus of Variations and Optimal Control
520.652 Filtering & Smoothing
550.426 Stochastic Processes
 
 

Year 3 (Choose 4 of following) and Year 4 (Choose 2 of following)

Applied Mathematics and Statistics
550.361 Linear Optimization
550.420 Introduction to Probability
550.426 Introduction to Stochastic Processes
550.430 Introduction to Statistics
550.434 Nonparametric and Robust Methods
550.437 Statistics, Information and Perception
550.620 Probability Theory I
550.621 Probability Theory II
550.626 Stochastic Processes II
550.630 Statistical Theory
550.631 Statistical Inference
550.632 Multivariate Statistical Theory
550.633 Time Series Analysis
550.634 Nonparametric and Robust Inference
550.661 Foundations of Optimization
550.662 Optimization Algorithms
550.672 Graph Theory
550.681 Numerical Analysis
550.692 Matrix Analysis and Linear Algebra
550.723 Markov Chains
550.730 Topics in Statistics: Statistical Pattern Recognition
550.764 Optimization of Functionals
550.790 Topics in Applied Mathematics: Deformation Analysis for Images and Shapes
Mechanical Engineering
530.601 Continuum Mechanics
530.648 Group Theory in Engineering Design
530.669 Computational Methods of Engineering
Biomedical Engineering
580.473 Magnetic Resonance in Medicine
580.472 Medical Imaging Systems
580.744 Pattern Theory: From representation to Inference
Electrical and Computer Engineering
520.414 Image Processing and Analysis I
520.415 Image Processing and Analysis II
520.432 Medical Imaging Systems
520.435 Digital Signal Processing
520.447 Introduction to Information Theory and Coding
520.497 Information Theory
520.608 Image Reconstruction and Restoration
520.614 Linear Systems Theory
520.630 Introduction to the Calculus of Variations and Optimal Control
520.643 Digital Multimedia Coding and Processing
520.644 Pattern Theory: From representation to Inference
520.645 Adaptive Filtering
520.646 Wavelets and Filter Banks
520.651 Random Signal Analysis
520.652 Filtering and Smoothing
520.674 Information Theoretic Methods in Statistics
Bioethics Elective
306.655 Ethical Issues in Public Health
Computer Science
600.303 High Performance Computing
600.357 Computer Graphics
600.441 Vision-Based Interaction for Man and Machine
600.445 Computer-Integrated Surgery I
600.446 Computer-Integrated Surgery II
600.461 Computer Vision
600.462 Applications of Computer Vision
600.630 Advanced Topics in Physics-Based Computer Vision
600.646 Advanced Computer-Integrated Surgery
600.652 Advanced Computer-Integrated Surgery Seminar
600.746 Medical Image Analysis Seminar
Mathematics
110.405 Analysis I
110.406 Analysis II
110.413 Introduction to Topology
110.417 Partial Differential Equations for Applications
110.423 Lie Groups
110.427 Introduction to Calculus of Variation
110.439 Introduction to Differential Geometry
110.605 Real Variables
110.619/110.620 Lie Groups and Lie Algebras
110.631/110.632 Partial Differential Equations
110.645/110.646 Riemannian Geometry
 


 
 




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