Society
How a computer sees, hears, and responds
We will trace how light, sound, and touch become numbers, and how software turns data into an image, sound, or another physical action.
Society
Publishing archive
Tuesday, 29 September 2026
Tuesday
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The highlighted days are the ones with something published; those are clickable.
Society
Society
How the digital world works and what we will build
We will trace an ordinary photograph through a phone and the internet, see the eight-block route, and begin one project that will grow throughout all 72 lessons.
Society
Files, folders, and exact paths
We build a project tree and distinguish a name from a path, a relative path from an absolute one, and a missing file from a wrong search location.
Society
Processor, working memory, and storage
We separate execution, temporary state, and persistent storage, then decide what the assistant must keep.
Society
Phones and laptops as systems
We will break a notification into roles and see why a phone and laptop look different but follow one model: input, processing, state, and output.
Society
Formats, software, and the creator's permission
We separate bytes from reading rules, choose an open format, and check a licence before adding someone else's material.
Society
Diagnosis without grades and choosing the project problem
Ten short situations will show where you need more support, while a completed passport will turn a broad assistant idea into a testable problem.
Society
Versions, collaboration, and accessibility
We preserve meaningful history, combine changes without overwriting another person's work, and test accessibility.
Society
Mastery checkpoint: the project workspace
We assemble version 0.1, check ten skills now and after seven days, and prove transfer on a new device.
Society
Operating system, process, and application
We separate a program file, a running process, and OS services to understand launch, permissions, and errors.
Society
Probability: a measure of uncertainty from zero to one
We build a sample space, distinguish an event from one outcome, and use complements, conditional probability, and a tree for sampling without replacement.
Society
Combinatorics: count possibilities without listing them all
We identify stages of choice, distinguish an ordered selection from a set, and use sum, product, permutation, and combination rules with a small enumeration check.
Society
Logic and proof: why a conclusion follows from assumptions
We analyze statements, negation, connectives, implication, and quantifiers, then build direct proofs, counterexamples, and contradiction arguments.
Society
Mathematical modeling capstone: from a real question to a testable solution
We assemble the course into one cycle: state a question, choose quantities and assumptions, build a model, calculate a prediction, compare with data, and refine its domain.
Society
Final checkpoint: probability, data, logic, graphs, and modeling
Ten tasks test counting, conditional probability, data description, inference, proof, shortest paths, and honest modeling with delayed recall after seven days.
Society
Descriptive statistics: what data say before a model
We read a dataset through its distribution, mean, median, range, and outliers without hiding its shape behind one convenient number.
Society
Statistical inference: what a sample can say about a population
We separate population from sample, parameter from estimate, and random error from bias, then read a confidence interval without promises the data cannot support.
Society
Graphs and algorithms: nodes, connections, and the best route
We model a network with vertices and edges, distinguish paths and cycles, execute Dijkstra's algorithm by hand, and verify that the route is truly shortest.
Society
Vector spaces and bases: the directions that build a vector
We understand linear combinations, span, independence, basis, and coordinates through two directions that build every plane vector uniquely.
Society
Eigenvalues and eigenvectors: directions preserved by a transformation
We find a matrix's special directions from Av=λv, interpret λ geometrically, and verify each pair by direct multiplication.
Society
Matrices: a table of numbers that transforms data
We begin linear algebra with a concrete role for a matrix: storing coefficients, checking dimensions, and turning an input vector into a new set of numbers.
Society
Checkpoint: matrices, bases, and eigenvector directions
Ten problems test matrix dimensions, linearity, bases, coordinates, eigenpairs, and transformation meaning with an independent check.
Society
Differential equations: a law of change as a process model
We translate a verbal law into an equation with a derivative, apply an initial condition, and check the solution by substitution, units, and behavior.
Society
Derivative applications: growth, extrema, and optimization
We read a derivative sign chart, find extrema, and solve an optimization problem while checking the feasible domain and its boundaries.