Sample Graduate Curriculum at CIS

CIS has created recommended tracks of courses for students interested in pursuing a degree in Applied Mathematics and Statistics, Biomedical Engineering, Computer Science, or Electrical and Computer Engineering. The following tracks have been devised for a 4-5 year Ph.D program through the Center for Imaging Science. Masters Students, for example, might choose from year 1 & 2 courses. Please consult with your faculty advisor for more information.

Applied Mathematics & Statistics

See the AMS website for more information on their graduate programs.

    Year 1 Fall

  • Intro. Diff. Geometry Math 110.439
  • Information Theory ECE 520.447
  • Real Variables Math

    • Year 1 Spring

  • Calculus of Variations ECE
  • Linear Optimization Math. Sci 550.361
  • Linear Systems Theory ECE 520.614

    Year 2 Fall

  • Analysis 1, Math 110.405
  • Random Signals ECE 520.651
  • Image Processing 1 ECE 520.414
  • Probability Math. Sci 550.420

    • Year 2 Spring

  • Analysis 2 Math 110.406
  • Filtering & Smoothing ECE 520.652
  • Image Processing 2 ECE 520.415
  • Stochastic Processes Math. Sci 550.426

    Year 3 Fall

  • Intro. Diff. Geometry Math 110.439
  • Information Theory ECE 520.447
  • Real Variables Math

    • Year 3 Spring

  • Calculus of Variations ECE
  • Linear Optimization Math. Sci 550.361
  • Linear Systems Theory ECE 520.614

    Year 4 Fall

  • Intro. Diff. Geometry Math 110.439
  • Information Theory ECE 520.447
  • Real Variables Math

    • Year 4 Spring

  • Calculus of Variations ECE
  • Linear Optimization Math. Sci 550.361
  • Linear Systems Theory ECE 520.614

Biomedical Engineering

Geometry, Shape and Computational Anatomy track - For more information on the BME program from CIS click here.

    Year 1

  • Medical School or Equivalent

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    Year 2 Fall (Choose 4)

  • 110.405 Analysis I
  • 110.439 Introduction to Differential Geometry
  • 520.414 Image Processing I
  • 520.651 Random Signals
  • 530.648 Group Theory in Engineering Design
  • 550.420 Probability

    • Year 2 Spring (Choose 4)

  • 110.406 Analysis II
  • 110.417 Partial Differential Equations for Applications
  • 520.415 Image Processing II
  • 520.652 Filtering & Smoothing
  • 550.426 Stochastic Processes
  • 520.630 Introduction to the Calculus of Variations and Optimal Control

    • Qualifiers

    Year 4

  • Pick 2-3 classes from this list.

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Computer Science

See the CS website for more information on their graduate programs.

    Year 1 Fall

  • Intro. Diff. Geometry Math 110.439
  • Information Theory ECE 520.447
  • Real Variables Math

    • Year 1 Spring

  • Calculus of Variations ECE
  • Linear Optimization Math. Sci 550.361
  • Linear Systems Theory ECE 520.614

    Year 2 Fall

  • Analysis 1, Math 110.405
  • Random Signals ECE 520.651
  • Image Processing 1 ECE 520.414
  • Probability Math. Sci 550.420

    • Year 2 Spring

  • Analysis 2 Math 110.406
  • Filtering & Smoothing ECE 520.652
  • Image Processing 2 ECE 520.415
  • Stochastic Processes Math. Sci 550.426

    Year 3 Fall

  • Intro. Diff. Geometry Math 110.439
  • Information Theory ECE 520.447
  • Real Variables Math

    • Year 3 Spring

  • Calculus of Variations ECE
  • Linear Optimization Math. Sci 550.361
  • Linear Systems Theory ECE 520.614

    Year 4 Fall

  • Intro. Diff. Geometry Math 110.439
  • Information Theory ECE 520.447
  • Real Variables Math

    • Year 4 Spring

  • Calculus of Variations ECE
  • Linear Optimization Math. Sci 550.361
  • Linear Systems Theory ECE 520.614

Electrical and Computer Engineering

See the ECE website for more information on their graduate programs. For more information on the ECE program from CIS click here.

    Year 1 Fall

  • Analysis I 110.405
  • Image Processing and Analysis I 520.414
  • Digital Signal Processing 520.435
  • Random Signal Analysis 520.651

    • Year 1 Spring

  • Image Processing and Analysis II 520.415
  • Medical Imaging Systems 520.432
  • Filtering and Smoothing 520.652
  • Introduction to Statistics 550.430

    Year 2 Fall

  • Digital Multimedia Coding and Processing 520.643
  • Statistics, Information and Vision 550.437
  • Statistical Theory 550.630
  • Magnetic Resonance in Medicine 580.473

    • ECE Qualification Exam

    Year 2 Spring

  • Image Reconstruction and Restoration 520.608
  • Wavelets and Filter Banks 520.646
  • Pattern Theory 520.644
  • Statistical Inference 550.631

    • Graduate Board Oral Exam

    Year 3 Fall

  • Dissertation Research 520.801

    • Year 3 Spring

  • Dissertation Research 520.802

    • Submit Preliminary
    Research Proposal

    Present ECE
    Departmental Seminar

    Year 4 Fall

  • Dissertation Research 520.801

    • Year 4 Spring

  • Dissertation Research 520.802

    • Submit Dissertation

    Dissertation Defense