Advanced Electives

A requirement of four advanced electives is designed to develop both breadth and depth for students in the CSB PhD Program. These should be 12-unit G-level graduate subjects. The electives add to the base of the core curriculum and contribute strength in areas related to student interest and research direction. Two of the four restricted electives must be in the same area (department). At least one of the electives must be from an engineering discipline and at least one from a biology-related field.

As is typical for students in other doctoral programs at MIT, CSB PhD students may take classes beyond the required restricted electives. These additional subjects might be useful to explore advanced topics important for thesis research in later years.

Each student will design a program of advanced electives that satisfies the distribution and area requirements in close consultation with members of the CSB PhD Graduate Committee and with their thesis advisor. Examples of combinations of courses that might be particularly appropriate for students with certain interests are described below. These examples are intended as illustrations only – individual programs will vary.

Students with an interest in model building and theory might include Network Optimization (Computer Science/Operations Research) and/or Foundations of Algorithms for Computational Biology (Computer Science/Biological Engineering).

Students with a focus on developing novel tools might select subjects such as Integrated Microelectronic Devices (Electrical Engineering/Materials Science) and/or Fundamental Limits of Biological Measurement (Biological Engineering).

Students who intend to pursue computational biology or bioinformatics can take courses in Computational Functional Genomics (Biology, Computer Science), Bioinformatics: Principles, Applications, and Methods (Chemical Engineering), or Biomedical Information Technology (Mechanical Engineering).

The following is a list of subjects that students may consider for advanced electives or additional subjects, organized by department. See the MIT online subject descriptions for more information.

(Not a complete list. Please petition the committee if there is an unlisted 12 unit, G-Level course you wish to take.)

* all courses are offered in-person for Fall 2021 and Spring 2022. All courses must be taken for a letter grade.

Civil and Environmental Engineering

1.685/2.034/18.377J Nonlinear Dynamics and Waves (Spring 2022, G, 12 units, T.Akylas)

1.89 Earth's Microbiomes (Spring 2022, G, 12 units, O. Cordero)

 

Mechanical Engineering

2.18/6.557J Biomolecular Feedback Systems (Spring 2022, G, 12 units, Del Vecchio)

2.372/6.777J Design and Fabrication of Microelectromechanical Devices (Spring 2022, G, 12 units, Staff)

2.717 Optical Engineering (Spring 2022, G, 12 units, Staff)

 

Chemistry

5.64/HST.539J Frontiers of Interdisciplinary Science in Human Health and Disease (Spring 2022, G, 12 units, A. Shalek, X. Wang)

5.70/10.546J Statistical Thermodynamics (Fall 2021, G, 12 units, J. Cao, B. Zhang) 

 

Electrical Engineering and Computer Science

6.231 Dynamic Programming and Reinforcement Learning (Spring 2022, G, 12 units, Staff)

6.241/16.338J Dynamic Systems and Control (Spring 2022, G, 12 units, Staff)

6.262 Discrete Stochastic Processes (Spring 2022, G, 12 units, Staff)

6.334 Power Electronics (Spring 2022, G, 12 units, Staff)

6.336/2.096/16.910J Introduction to Modeling and Simulation (Fall 202, G, 12 units, L. Daniel)

6.337/18.335J Introduction to Numerical Methods (Spring 2022, G, 12 units, Staff)

6.339/2.097/16.920J Numerical Methods for Partial Differential Equations (Fall 2021, G, 12 units, J. Peraire)

6.431 Introduction to Probability  (Fall 2021/ Spring 2022, G, 12 units, Fall: L. Zheng, Spring: G. Bresler)

6.434/16.391J Statistics for Engineers and Scientists (Fall 2021, G, 12 units, M. Win)

6.435 Bayesian Modeling and Inference (Spring 2022, G, 12 units, Staff)

6.436/15.085J Fundamentals of Probability (Fall 2021, G, 12 units, D. Gamarnik)

6.437 Inference and Information (Spring 2022, G, 12 units, Staff)

6.438 Algorithms for Inference (Fall 2021, G, 12 units, G. Wornell)

6.481 Introduction to Statistical Data Analysis (Spring 2022, G, 12 units, Y. Polyanskiy, D. Shah, J. N. Tsitsiklis)

6.482 Modeling with Machine Learning: from Algorithms to Applications (Spring 2022, G, 6 units, R.Barzilay, T. Jaakkola) MUST BE TAKEN WITH:

20.401/3.322/10.602J Machine Learning for Molecular Engineering (Spring 2022, G, 6 units, R. Gomez-Bombarelli, C. Coley, E. Fraenkel)

6.720/3.43J Integrated Microelectronic Devices (Fall 2021, G, 12 units, J. Del Alamo)

6.842 Randomness and Computation (Spring 2022, G, 12 units, R. Rubinfeld)

6.854/18.415J Advanced Algorithms (Fall 2021, G, 12 units, D. Karger)

6.862 Applied Machine Learning (Fall 2021, Spring 2022, G, 12 units, Staff)

6.864 Advanced Natural Language Processing ( Fall 2021, G, 12 units, J.Andreas)

6.866 Machine Vision (not offered 2021-2022, G, 12 units, B. K. P. Horn)

6.867 Machine Learning (Fall 2021, G, 12 units, T. Jaakkola)

6.871/HST.956 [J] Machine Learning for Healthcare (Spring 2022, G, 12 units, D. Sontag, P.Szolovits)

6.874/HST.506 [J] Computational Systems Biology: Deep Learning in the Life Sciences (Spring 2022, G, 12 units, Staff) [Could also be used to satisfy Comp Bio requirement]

6.878/HST.507J Advanced Computational Biology: Genomes, Networks, Evolution (Fall 2021, G, 12 units, M. Kellis) [Could also be used to satisfy Comp Bio requirement]

6.881 Advanced Topics in Artificial Intelligence (Fall 2021, G, 12 units, N. Shavit

6.882 Advanced Topics in Artifical Intelligence (Fall 2021, G, 12 units, Not offered regularly; consult department)

6.945 Large-scale Symbolic Systems (Spring 2022, G, 12 units, G. J. Sussman)

 

Biology

7.493/ 1.87/ 12.493/ 20.446J Microbial Genetics and Evolution (Fall 2021, G, 12 units, A. D. Grossman, O. Cordero)

7.60 Cell Biology: Structure and Functions of the Nucleus (Spring 2022, G, 12 units,  R. Young, Staff)

7.61 Eukaryotic Cell Biology: Principles and Practice (Fall 2021, G, 12 units,  M. Krieger, M. Yaffe) [Could also be used to satisfy Bio requirement]

7.63/ 20.630J Immunology (Spring 2022, G, 12 units, S. Spranger, M. Birnbaum)

7.64 Molecular Mechanisms, Pathology and Therapy of Human Neuromuscular Disorders (Spring 2022, G, 12 units, D. Housman)

7.69/ 9.181J Developmental Neurobiology (Spring 2022 G, 12 units, E. Nedivi, M. Heiman)

7.70 Regulation of Gene Expression (Spring 2022, G, 12 units, Staff)

7.71 Biophysical Technique (Spring 2022, G, 12 units, T. Schwartz)

7.72 Stem Cells, Regeneration, and Development (Spring 2022, G, 12 units,  R. Jaenisch, P. Reddien)

7.73 Principles of Chemical Biology (Not offered 2021-2022, G, 12 units, B. Imperiali, J.K. Weng)

7.77 Nucleic Acids, Structure, Function, Evolution and Their Interactions with Proteins (Spring 2022, G, 12 units, D. Bartel, A. Jain)

7.85 The Hallmarks of Cancer (Fall 2021, G, 12 units, M. Hemann, T. Jacks)

7.86 Building with Cells (Fall 2021, G, 12 units, L. Boyer, P. Li)

7.95 Cancer Biology (Spring 2022, G, 12 units, R. Weinberg, O. Yilmaz)

 

Physics

8.333 Statistical Mechanics I (Fall 2021, G, 12 units, M. Kardar)

8.334 Statistical Mechanics II (Not offered 2021-2022, G, 12 units, M. Kardar)

8.431/6.634J Nonlinear Optics (Spring 2022, G, 12 units, Staff)

8.591/7.81J Systems Biology (Fall 2021, G, 12 units, J. Gore) [Could also be used to satisfy Comp Bio requirement]

8.592/HST.452J Statistical Physics in Biology (Spring 2022, G, 12 units, Staff)

8.593/HST.450J Biological Physics (Spring 2022 G, 12 units, Staff)

 

Brain and Cognitive Sciences

9.013/7.68J Molecular and Cellular Neuroscience Core II (Spring 2022, G, 12 units, Staff) [Could also be used to satisfy Bio requirement]

9.015/7.65J Molecular and Cellular Neuroscience Core I (Fall 2021, G, 12 units, J. T. Littleton, M.Sheng)

9.520/6.860J Statistical Learning Theory and Applications (Fall 2021, G, 12 units, T. Poggio)
 

Chemical Engineering

10.544 Metabolic and Cell Engineering (Fall 2021, Spring 2022, G, 12 units, Staff)

10.555/HST.940J Bioinformatics: Principles, Methods, and Applications  (Spring 2022, G, 12 units, Staff)

10.557 Mixed-integer and Nonconvex Optimization (Spring 2022, G, 12 units, P. I. Barton)

 

Management

15.083 Integer Programming and Combinatorial Optimization (Not offered 2021-2022, G, 12 units, A. Jacquillat)

Aeronautics and Astronautics

16.940 Numerical Methods for Stochastic Modeling and Inference ( Not offered 2021-2022, G, 12 units, Y.M. Marzouk)

Mathematics

18.0651 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning (Spring 2022, G, 12 units, G. Strang)

18.0751 Methods for Scientists and Engineers (Spring 2022, G, 12 units, H. Cheng)

18.0851 Computational Science and Engineering I (Fall 2021, Spring 2022, G, 12 units, M. Durey)

18.0861 Computational Science and Engineering II (Not offfered 2021-2022, G, 12 units, Staff)

18.385/2.036J Nonlinear Dynamics and Chaos (Not offered 2021-2022, G, 12 units, Staff)

18.408 Topics in Theoretical Computer Science (Spring 2022, G, 12 units, J. A. Kelner)

18.418/HST.504J Topics in Computational Molecular Biology (Fall 2021, Spring 2022, G, 12 units, B. Berger)

18.4531 Combinatorial Optimization (Not offered 2021-2022, G, 12 units, Staff)

18.455 Advanced Combinatorial Optimization (Not offered 2021-2022, G, 12 units, M. X. Goemans)

18.6501 Fundamentals of Statistics (Fall 2021, Spring 2022, G, 12 units, E. Mossel)

18.677 Topics in Stochastic Processes (Fall 2021, Spring 2022, G, 12 units, Fall: S. Sheffield Spring D.W. Stroock)

 

Biological Engineering

20.201 Fundamentals of Drug Development (Fall 2021, Spring 2022, G, 12 units, P. C. Dedon, R. Sasisekharan)

20.405/6.589J Principals of Synthetic Biology (Fall 2021, G, 12 units, R. Weiss)

20.409 Biological Engineering II: Instrumentation and Measurement (Fall 2021, Spring 2022, G, 12 units, E. Boyden, A. Jasanoff, P. So, M. Jonas, J. Sutton, S. Wasserman)

20.410/2.798/3.971/6.524/10.537J Molecular, Cellular, and Tissue Biomechanics ( Not offered 2021-2022, G, 12 units, M. Bathe, K. Ribbeck, P. So)

20.415 Physical Biology (Fall 2021, Spring 2022, G, 12 units, M. Bathe)

20.420/10.538J Principles of Molecular Bioengineering (Fall 2021, G, 12 units, A. Jasonoff, E. Fraenkel)

20.430/ 2.795/6.561/10.539J Fields, Forces, and Flows in Biological Systems   (Fall 2021, G, 12 units, M. Bathe, B. Bryson, A. Hansen)

20.440 Analysis of Biological Networks (Spring 2022, G, 15 units, B. Bryson, F. White)

20.463/3.963J Biomaterials Science and Engineering (Fall 2021, G, 12 units, D. Irvine, K. Ribbeck)

20.490 Computational Systems Biology: Deep Learning in the Life Sciences (Spring 2022, G, 12 units, D. K. Gifford) [Could also be used to satisfy Comp Bio requirement]

20.535/10.535J Protein Engineering (Spring 2022, G, 12 untis, K.D. Wittrup, B. Tidor) 

Institute for Data, Systems, and Society

IDS.136/6.244J Graphical Models: A Geometric, Algebraic, and Combinatorial Perspective (Spring 2022, G, 12 units, C. Uhler)

IDS.147/15.077J Statistical Machine Learning and Data Science (Spring 2022, G, 12 units, R. Welsch)

 

Health Sciences and Technology

HST.035 Pathology of Human Disease (Spring 2022, G, 16 units, S. Lovitch)

HST.176 Cellular and Molecular Immunology (Fall 2021, G, 12 units, S. Pillai, B. Cherayil)

HST.508 Evolutionary and Quantitative Genomics (Not offered 2021-2022, G, 12 units, L. Mirny, T. Lieberman)