Mathematical Foundation Courses
As of Fall 2014 any 300+ level course or above given by the Math Department, or cross-listed with Math, counts as a foundations course for the PACM Certificate, except those explicitly listed below as applications courses. (We have listed some MAT courses as foundations courses anyway, to bring them to your attention.) In addition, the following count as foundations courses:"
Course ID | Course name |
---|---|
APC350/CEE350/MAT322 | Introduction to Differential Equations |
APC503/AST557 | Analytical Techniques in Differential Equations |
APC501/MAE501 | Mathematical Methods of Engineering Analysis I |
APC506/MAE502 | Mathematical Methods of Engineering Analysis II |
APC523/AST523/MAE507 | Numerical Algorithms for Scientific Comp |
APC527/ELE527 | Random Graphs and Networks |
AST301/PHY321 | General Relativity |
CBE448/MAT481 | Introduction to Nonlinear Dynamics |
COS323/ORF363 | Computing and Optimization |
COS325 | Introduction to Machine Learning |
COS340 | Reasoning about Computation |
COS521 | Advanced Algorithm Design |
ELE486/APC486 | Transmission & Compression of Information |
MAE305/MAT391/CBE305/EGR305 | Mathematics in Eng I |
MAE306/MAT392 | Mathematics in Engineering II |
MAE503/APC507 | Basic Numerical Methods for Differential Equations |
MAT321 | Numerical Models |
MAT325 | Analysis I: Fourier Series and Partial Differential Equations |
MAT375/COS342 | Introduction to Graph Theory |
MAT377/APC377 | Combinatorial Mathematics |
MAT378/ECO308 | Game Theory |
MAT385 | Probability Theory |
MAT427 | Ordinary Differential Equations |
MOL410 | Introduction to Biological Dynamics |
ORF307/EGR307 | Optimization |
ORF309/MAT309 | Probability and Stochastic Systems |
ORF405 | Regression & Applied Time Series |
PHY521 | Introduction to Mathematical Physics |
PHY523 | Introduction to General Relativity |
POL572 | Quantitative Analysis II |
POL573 | Quantitative Analysis III |
QCB511/CBE511 | Modeling Tools for Cell and Dev Biology |
Mathematical Application Courses | |
Course ID | Course name |
AOS571 | Introduction to Geophysical Fluid Dynamics |
AOS572 | Waves in the Atmosphere and Oceans |
AOS573 | Physical Oceanography |
AOS576 | Special Topics in Atmospheric Dynamics |
APC509 | Methods and Concepts in Electronic StructureTheory |
APC514/MOL514 | Biological Dynamics |
APC523/AST523 | Numerical Algorithms for Scientific Comp |
APC524/MAE506/AST506 | Software Engineering for Scientific Computting |
CBE 341 | Mass, Momentum, and Energy Transport |
CEE361/MAE325 | Matrix Structural Analysis and Introduction to Finite Element Methods |
CEE532 | Advanced Finite Element Methods |
CHM305 | The Quantum World |
CHM306 | Physical Chemistry: Chemical Thermodynamics and Kinetics |
CHM405 | Advanced Quantum Chemistry |
CHM406 | Adv Phys Chem Dynamics & Thermodynamics |
COS402 | Machine Learning and AI |
COS424 | Fundamentals of Machine Learning |
COS426 | Computer Graphics |
COS429 | Computer Vision |
COS423 | Theory of Algorithms |
COS433/MAT473 | Cryptography |
COS445 | Economics and Computing |
COS451 | Computational Geometry |
COS487 | Theory of Computation |
COS495 | Special Topics in Computer Science: Neural Networks: Theory and Applications |
COS511 | Theoretical Machine Learning |
COS513 | Foundations of Probabilistic Modeling |
COS521 | Advanced Algorithm Design |
COS522 | Computational Complexity |
COS533 | Advanced Cryptography |
COS557/MOL557 | Analysis and Visualization of Large-Scale Genomic Data Sets |
ECO312 | Econometrics: A Mathematical Approach |
ECO317 | The Economics of Uncertainty |
ECO414 | Introduction to Economic Dynamics |
ECO418 | Strategy and Information |
ECO465 | Options, Futures & Financial Derivatives |
ECO466 | Fixed Income: Models and Applications |
ECO481 | Topics in Economics |
ECO513 | Advanced Econometrics: Time Series Models |
EEB324 | Theoretical Ecology |
EEB325 | Mathematical Modeling in Biology and Medicine |
EEB424 | Methods of Mathematical Ecology |
ELE381 | Networks: Friends, Money, and Bytes |
ELE382 | Statistical Signal Processing |
ELE482 | Digital Signal Processing |
ELE488 | Image Processing and Transmission |
ELE521/MAE547 | Linear Systems Theory |
ELE523/MAE548 | Nonlinear Systems Theory |
ELE525 | Random Processes in Information Systems |
ELE528 | Information Theory |
ELE530 | Theory of Detection and Estimation |
ELE535 | Machine Learn & Pattern Recognition |
GEO422 | Data, Models, and Uncertainty in the Nat |
GEO424/CEE424 | Introductory Seismology and Oil Exploration |
GEO425/MAE425 | Introduction to Physical Oceanography |
GEO441/APC441 | Computational Geophysics |
GEO557 | Theoretical Geophysics |
MSE515/APC515 | Random Heterogeneous Materials |
MAE335 | Fluid Dynamics |
MAE336 | Viscous Flows |
MAE433A/MAE433B | Automatic Control Systems |
MAE434 | Modern Control |
MAE541 | Applied Dynamical Systems |
MAE542 | Advanced Dynamics |
MAE545 | Nonlinear Control |
MAE546 | Optimal Control and Estimation |
MAE552 | Viscous flows |
MAE559 | Special topics in Fluid Mechanics |
MAT323 | Topics in Mathematical Modeling: Mathematical Neuroscience |
MAT582 | Dynamical Systems |
MOL436 | Statistical Methods for Genome Data |
MSE515/APC515 | Random Heterogeneous Materials |
NEU437 | Computational Neuroscience |
ORF335/ECO364 | Introduction to Financial Mathematics |
ORF350 | Analysis of Big Data |
ORF405 | Regression and Applied Time Series |
ORF407 | Fundamentals of Queueing Theory |
ORF435 | Financial Risk Management |
ORF473 | Special Topics in Operations Research and Financial Engineering - Stochastic Methods for Quantitative Finance |
ORF523 | Convex and Conic Optimization |
ORF526 | Probability Theory |
PHY304 | Advanced Electromagnetism |
PHY305 | Introduction to Quantum Theory |
PHY408 | Modern Classical Dynamics |
PHY509 | Quantum Field Theory |
PHY525 | Introduction to Condensed Matter Physics |
PHY562 | Biophysics |
QCB408 | Foundations of Applied Statistics and Data Science with Applications in Biology |