Undergraduate Announcement
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. 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 Computing |
APC527/ELE527 | Random Graphs and Networks |
AST301/PHY321 | General Relativity |
CBE448/MAT481 | Introduction to Nonlinear Dynamics |
CEE532 | Advanced Finite Element Methods |
COS323/ORF363 | Computing and Optimization |
ECE486/APC486 | Transmission & Compression of Information |
ECE525 | Random Processes in Information Systems |
ECE528 | Information Theory |
MAE305/MAT391/CBE305/EGR305 | Mathematics in Engineering I |
MAE306/MAT392 | Mathematics in Engineering II |
MAE503/APC507 | Basic Numerical Methods for Differential Equations |
MAE541 | Applied Dynamical Systems |
MAE542 | Advanced Dynamics |
MAT305 | Mathematical Logic |
MAT315 | Real Analysis |
MAT320 | Introduction to Real Analysis |
MAT321 | Numerical Methods |
MAT325 | Analysis I: Fourier Series and Partial Differential Equations |
MAT328 | Differential Geometry |
MAT330 | Complex Analysis with Applications |
MAT335 | Analysis II: Complex Analysis |
MAT340 | Applied Algebra |
MAT345 | Algebra I |
MAT346 | Algebra II |
MAT355 | Introduction to Differential Geometry |
MAT365 | Topology |
MAT375/COS342 | Introduction to Graph Theory |
MAT377/APC377 | Combinatorial Mathematics |
MAT378/ECO308 | Game Theory |
MAT385 | Probability Theory |
MAT415 | Analytic Number Theory |
MAT419 | Topics in Number Theory |
MAT425 | Analysis III: Integration Theory and Hilbert Spaces |
MAT427 | Ordinary Differential Equations |
MAT447 | Commutative Algebra |
MAT486 | Random Processes |
MAT520 | Introduction to Geometry |
MAT522 | Introduction to PDE |
MAT560 | Algebraic Topology |
MAT582 | Dynamical Systems |
ORF307/EGR307 | Optimization |
ORF309/MAT309 | Probability and Stochastic Systems |
ORF363 | Computing and Optimization for the Physical and Social |
ORF523 | Convex and Conic Optimization |
ORF526 | Probability Theory |
PHY521 | Introduction to Mathematical Physics |
PHY523 | Introduction to General Relativity |
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 |
APC490/MAT490 | Mathematical Introduction to Machine Learning |
APC509 | Methods and Concepts in Electronic StructureTheory |
APC514/MOL514 | Biological Dynamics |
APC524/MAE506/AST506 | Software Engineering for Scientific Computing |
CBE 341 | Mass, Momentum, and Energy Transport |
CEE361/MAE325 | Matrix Structural Analysis and Introduction to Finite Element Methods |
CHM305 | The Quantum World |
CHM306 | Physical Chemistry: Chemical Thermodynamics and Kinetics |
CHM405 | Advanced Quantum Chemistry |
CHM406 | Adv Phys Chem Dynamics & Thermodynamics |
COS324 | Introduction to Machine Learning |
COS343 | Algorithms for Computational Biology |
COS402 | Machine Learning and AI |
COS423 | Theory of Algorithms |
COS424 | Fundamentals of Machine Learning |
COS426 | Computer Graphics |
COS429 | Computer Vision |
COS433/MAT473 | Cryptography |
COS445 | Economics and Computing |
COS451 | Computational Geometry |
COS487 | Theory of Computation |
COS511 | Theoretical Machine Learning |
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 |
ECE381 | Networks: Friends, Money, and Bytes |
ECE382 | Statistical Signal Processing |
ECE482 | Digital Signal Processing |
ECE488 | Image Processing and Transmission |
ECE521/MAE547 | Linear Systems Theory |
ECE523/MAE548 | Nonlinear Systems Theory |
ECE530 | Theory of Detection and Estimation |
ECE535 | Machine Learn & Pattern Recognition |
GEO371/PHY371 | Global Geophysics |
GEO422 | Data, Models, and Uncertainty |
GEO424/CEE424 | Introductory Seismology and Oil Exploration |
GEO425/MAE425 | Introduction to Physical Oceanography |
GEO441/APC441 | Computational Geophysics |
GEO557 | Theoretical Geophysics |
MAE335 | Fluid Dynamics |
MAE336 | Viscous Flows |
MAE433 | Automatic Control Systems |
MAE434 | Modern Control |
MAE545 | Nonlinear Control |
MAE546 | Optimal Control and Estimation |
MAE552 | Viscous flows |
MAE559 | Special topics in Fluid Mechanics |
MAT323 | Topics in Mathematical Modeling: Mathematical Neuroscience |
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 |
ORF387 | Networks |
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 |
PHY304 | Advanced Electromagnetism |
PHY305 | Introduction to Quantum Theory |
PHY408 | Modern Classical Dynamics |
PHY509 | Quantum Field Theory |
PHY525 | Introduction to Condensed Matter Physics |
PHY562 | Biophysics |
POL572 | Quantitative Analysis II |
POL573 | Quantitative Analysis III |
QCB408 | Foundations of Applied Statistics and Data Science with Applications in Biology |
QCB515 | Method and Logic in Quantitative Biology |