Topic3 notes

Math Foundation

Math foundations provide the linear algebra, calculus, and basic analysis refreshers that every other topic leans on. These primers keep the notation consistent across the notes so the later derivations and proofs can assume a common toolkit.

  1. Vector Basics

    Build geometric and algebraic intuition for vectors, norms, and projections in finite-dimensional spaces.

  2. Matrix Fundamentals

    Review matrices as linear maps, focusing on rank, determinant, and factorization tools used across the control stack.

  3. Calculus — Differentiation

    Differentiate scalar and vector functions, with gradients and Jacobians ready for optimization and estimator design.

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