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Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Linear Algebra: Diagonalization
Explores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.
Cayley Graphs: Properties and Applications
Explores the properties and applications of Cayley graphs in group theory and network analysis.
Linear Algebra: Canonical Basis
Explores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.
Stein Algorithm: Polynomial Identity Testing
Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.
Convergence & Choice of Finite Element Discretizations
Explores convergence, numerical pathologies, and mesh convergence studies in finite element discretizations.
Numerical Analysis of Incompressible Fluid Flow
Covers the software system Channelflow for numerical analysis of incompressible fluid flow in channel geometries, including spectral methods and invariant solutions.
Linear Transformations: Matrices and Kernels
Covers linear transformations, matrices, kernels, and properties of invertible matrices.
Data Wrangling with Hadoop
Covers data wrangling techniques using Hadoop, focusing on row versus column-oriented databases, popular storage formats, and HBase-Hive integration.
NoSQL Databases: Origins and Types
Covers the origins and types of NoSQL databases, focusing on MongoDB and CRUD operations.