Merge pull request #39 from rachelslaybaugh/master

added list of useful courses to general resources page

general-resources/README.md

@@ -14,6 +14,8 @@ practices.
 
 [Savio](./savio.md) is a place with information on getting started on our HPC system. 
 
+[Courses](./courses.md) a list of courses that you may want to take.
+
 [Abacus](./abacus.md) contains information about our group's sever.
 
 Codes and Software is a place with links for documentation on the software we

general-resources/courses.md

@@ -0,0 +1,190 @@
+# Course Selection
+
+Here are some courses that could be useful for you all to take, separated by
+category.
+
+## Applied Math (Math)
+
+### Definitely Useful
++ 221: Advanced Matrix Computations
+ Direct solution of linear systems, including large sparse systems: error
+bounds, iteration methods, least square approximation, eigenvalues and
+eigenvectors of matrices, nonlinear equations, and minimization of functions.
+
++ 228A: Numerical Solution of Differential Equations
+Linear multistep methods; Runga-Kutta methods; Stability theory; Stiff
+equations; Boundary value problem; Eigenvalue problem; Discretization 
+
++ 228B: Numerical Solution of Differential Equations
+Theory and practical methods for numerical solution of partial differential
+equations. Finite difference methods for parabolic and hyperbolic problems,
+finite volume methods for hyperbolic conservation laws, finite element methods
+for elliptic equations, discontinuous Galerkin methods for first and second
+order systems of conservation laws.
+
+### Probably Useful
++ 128A: Numerical Analysis
+Programming for numerical calculations, round-off error, approximation and
+interpolation, numerical quadrature, and solution of ordinary differential
+equations. Practice on the computer.
+
++ 128B: Numerical Analysis
+Iterative solution of systems of nonlinear equations, evaluation of eigenvalues
+and eigenvectors of matrices, applications to simple partial differential
+equations. Practice on the computer.
+
++ 222A: Partial Differential Equations
+The theory of boundary value and initial value problems for partial differential
+equations, with emphasis on nonlinear equations. Laplace's equation, heat
+equation, wave equation, nonlinear first-order equations, conservation laws,
+Hamilton-Jacobi equations, Fourier transform, Sobolev spaces. (theoretical)
+
++ 222B: Partial Differential Equations
+Second-order elliptic equations, parabolic and hyperbolic equations, calculus of
+variations methods, Hamilton-Jacobi equations and conservation laws
+(theoretical)
+
+### Possibly Useful
+- 104: Introduction to Analysis
+The real number system. Sequences, limits, and continuous functions in R and R.
+The concept of a metric space. Uniform convergence, interchange of limit
+operations. Infinite series. Mean value theorem and applications. The Riemann
+integral. 
+
+- 110: Linear Algebra
+Matrices, vector spaces, linear transformations, inner products, determinants.
+Eigenvectors. QR factorization. Quadratic forms and Rayleigh's principle. Jordan
+canonical form, applications. Linear functionals.
+
+- 121A: Mathematical Tools for the Physical Sciences
+Intended for students in the physical sciences who are not planning to take more
+advanced mathematics courses. Rapid review of series and partial
+differentiation, complex variables and analytic functions, integral transforms,
+calculus of variations.
+
+- 121B: Mathematical Tools for the Physical Sciences
+Intended for students in the physical sciences who are not planning to take more
+advanced mathematics courses. Special functions, series solutions of ordinary
+differential equations, partial differential equations arising in mathematical
+physics, probability theory.
+
+- 123: Ordinary Differential Equations
+(1) Introduction: examples and tricks (2) Existence and uniqueness of solutions
+(3) Linear ODE and systems (4) Stability (5) Boundary value problems:
+Sturm-Liouville theory (6) Additional topics
+
+- 224A: Mathematical Methods for the Physical Sciences
+Introduction to the theory of distributions. Fourier and Laplace transforms.
+Partial differential equations. Green's function. Operator theory, with
+applications to eigenfunction expansions, perturbation theory and linear and
+non-linear waves.
+
+- 224B: Mathematical Methods for the Physical Sciences
+The course will survey basic theory and practical methods for solving the
+fundamental problems of mathematical physics. It is intended for graduate
+students in applied mathematics, physics, engineering or other mathematical
+sciences. The overall purpose of the course will be to develop non-numerical
+tools for understanding and approximating solutions of differential equations.
+
+- 273: Advanced Topics in Nuclear Methods
+
+- 275: Topics in Applied Mathematics
+Advanced topics chosen by the instructor. The content of this course changes, as
+in the case of seminars.
+
+## Actual Computer Science (CS)
+- 152:  Computer Architecture and Engineering 
+Instruction set architecture, microcoding, pipelining (simple and complex).
+Memory hierarchies and virtual memory. Processor parallelism: VLIW, vectors,
+multithreading. Multiprocessors. (F,SP) 
+
+- 169:  Software Engineering
+Ideas and techniques for designing, developing, and modifying large software
+systems. Function-oriented and object-oriented modular design techniques,
+designing for re-use and maintainability. Specification and documentation.
+Verification and validation. Cost and quality metrics and estimation. Project
+team organization and management. Students will work in teams on a substantial
+programming project. (F,SP)
+
+- 252:  Graduate Computer Architecture   
+Graduate survey of contemporary computer organizations covering: early systems,
+CPU design, instruction sets, control, processors, busses, ALU, memory, I/O
+interfaces, connection networks, virtual memory, pipelined computers,
+multiprocessors, and case studies. Term paper or project is required. (F,SP)
+
+- 262A:  Advanced Topics in Computer Systems   
+Graduate survey of systems for managing computation and information, covering a
+breadth of topics: early systems; volatile memory management, including virtual
+memory and buffer management; persistent memory systems, including both file
+systems and transactional storage managers; storage metadata, physical vs.
+logical naming, schemas, process scheduling, threading and concurrency control;
+system support for networking, including remote procedure calls, transactional
+RPC, TCP, and active messages; security infrastructure; extensible systems and
+APIs; performance analysis and engineering of large software systems. Homework
+assignments, exam, and term paper or project required. (F,SP)
+
+- 267:  Applications of Parallel Computers  
+Models for parallel programming. Fundamental algorithms for linear algebra,
+sorting, FFT, etc. Survey of parallel machines and machine structures. Exiting
+parallel programming languages, vectorizing compilers, environments, libraries
+and toolboxes. Data partitioning techniques. Techniques for synchronization and
+load balancing. Detailed study and algorithm/program development of medium sized
+applications. Also listed as Engineering C233
+
+- ME 280A: finite element methods
+
+
+## Statistics for Monte Carlo (Math)
+- C281A: Probability Theory
+The course is designed as a sequence with Statistics C205B/Mathematics C218B
+with the following combined syllabus. Measure theory concepts needed for
+probability. Expection, distributions. Laws of large numbers and central limit
+theorems for independent random variables. Characteristic function methods.
+Conditional expectations, martingales and martingale convergence theorems.
+Markov chains. Stationary processes. Brownian motion. Also listed as Statistics
+C205A.
+
+- C223A/B: Advanced Topics in Probability and Stochastic Processes
+The topics of this course change each semester, and multiple sections may be
+offered. Advanced topics in probabilty offered according to students demand and
+faculty availability. Also listed as Statistics C206A.
+
+
+## Statistics (stat)
+
+### Probably Useful
++ 150: Stochastic Processes
+Random walks, discrete time Markov chains, Poisson processes. Further topics
+such as: continuous time Markov chains, queueing theory, point processes,
+branching processes, renewal theory, stationary processes, Gaussian processes.
+
++ 157: Seminar on Topics in Probability and Statistics: Reproducible and
+Collaborative Data Science
+Substantial student participation required. The topics to be covered each
+semester that the course may be offered will be announced by the middle of the
+preceding semester; see departmental bulletins. Recent topics include: Bayesian
+statistics, statistics and finance, random matrix theory, high-dimensional
+statistics.
+
+### Possibly Useful
+- 20: Introduction to Probability and Statistics
+For students with mathematical background who wish to acquire basic concepts.
+Relative frequencies, discrete probability, random variables, expectation.
+Testing hypotheses. Estimation. Illustrations from various fields.
+
+- 134: Concepts of Probability
+An introduction to probability, emphasizing concepts and applications.
+Conditional expectation, independence, laws of large numbers. Discrete and
+continuous random variables. Central limit theorem. Selected topics such as the
+Poisson process, Markov chains, characteristic functions.
+
+- C206B: Advanced Topics in Probability and Stochastic Processes
+We will cover a range of topics in modern discrete probability structured
+around 3-5 week modules on some of the following topics (percolation, random
+graphs, mixing times/Markov chains, spin systems, concentration
+inequalities/large deviations, random walks in random environments, random
+constrain satisfaction problems) - the exact choice will depend on student
+interests.
+
+## Writing
+- GSPDP 320