Recording stories about math, coding, utils, and education.
Sharing technical explorations for better education.
Builds the method of undetermined coefficients from polynomial identities and distinguishes coefficient comparison from substitution as tools inside that method.
Learn how factorization turns the form of a polynomial into information about an equation's roots, and why the point where real-number factorization stops leads to complex numbers
Understand why complex numbers are needed through quadratic equations that cannot be solved in the real numbers, and learn their basic form and simple calculations
Learn how Dockerfiles turn instructions into images, how those images become containers, and why that workflow locks environments into code.
See how this 20-part linear algebra series is sequenced for programming, machine learning, graphics, and data work, and why it is ordered this way.
Understand the difference between scalars and vectors by connecting coordinates, feature vectors, and embeddings from a programming perspective.