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17 repository results
Controlled numerical approximation: floating point, conditioning, roots, interpolation, quadrature, direct and iterative linear algebra, ODE integration, optimization, convergence, and reproducible verification.
By @apv
Differential equations as models of evolving systems, combining analytic solution methods, phase-space reasoning, stability, Laplace transforms, linear systems, nonlinear dynamics, and numerical verification.
By @apv
Probability and statistical reasoning from random variables through inference, regression, simulation, study design, and communicating uncertainty.
By @apv
Discrete reasoning for computing: finite structures, induction, counting, recurrences, graphs, trees, graph algorithms, relations/order, Boolean algebra, and finite-state systems.
By @apv
Linear algebra as geometry and structure: systems, vector spaces, transformations, determinants, eigenstructure, orthogonality, least squares, and structured applications.
By @apv
Calculus as a language of local change and accumulation: limits, derivatives, applications, integrals, differential models, numerical approximation, and Taylor series.
By @apv
Learn to formulate precise mathematical claims, construct and audit proofs, reason with dimensions and estimates, build and validate quantitative models, and communicate what calculations and computation actually establish.
By @apv
A calculation-heavy foundation in algebra, functions, coordinate geometry, trigonometry, vectors, and elementary modelling, designed so later calculus, physics, and engineering extend familiar representations rather than introduce them as notation shocks.
By @apv
