Core CS & IT Subjects
Explore foundational and production architectures. Click any card to jump directly into the comprehensive technical guide, voice audio, and interactive code playground.
Logic
Tiers 1–4Formal propositional calculus, truth-functional completeness, first-order predicate logic, and automated theorem proving engines.
Critical Thinking
Tiers 1–4Deconstructing cognitive fallacies, evaluating deductive arguments, audit heuristics, and post-mortem incident investigation.
Discrete Mathematics
Tiers 1–4Set partitions, equivalence relations, graph theory connectivity, recurrence relations, and finite group cryptography.
Linear Algebra
Tiers 1–4Vector spaces, matrix transformations, Gaussian elimination, eigenvalues, eigenvectors, and Singular Value Decomposition (SVD).
Calculus
Tiers 1–4Differential calculus, limits, derivatives, chain rule backpropagation, multivariable partial derivatives, and optimization algorithms.
Statistics
Tiers 1–4Probability distributions, random variables, Central Limit Theorem, hypothesis testing, confidence intervals, and Bayesian inference.
Computer Architecture
Tiers 1–4Instruction set architectures (RISC-V/x86-64), microarchitectural pipelining, cache memory hierarchies, and out-of-order execution engines.
Data Structures
Tiers 1–4Linear and non-linear memory abstractions, self-balancing search trees, hash table collision resolution, and graph storage models.
Algorithms
Tiers 1–4Asymptotic complexity analysis, divide-and-conquer strategies, dynamic programming recurrence relations, and graph traversal paradigms.
Networking Basics
Tiers 1–4OSI and TCP/IP protocol layering, Ethernet frame switching, IPv4/IPv6 CIDR routing, and TCP congestion control mechanics.
Operating Systems
Tiers 1–4Process concurrency, kernel interrupt handling, CPU scheduling algorithms, virtual memory paging, and POSIX file system internals.
Information Security
Tiers 1–4Symmetric and asymmetric cryptography, public key infrastructure (PKI), authentication protocols, and web application threat models.
Databases
Tiers 1–4Relational algebra, SQL query optimization, ACID transaction isolation levels, write-ahead logging (WAL), and B+Tree indexing.
Software Engineering Principles
Tiers 1–4SOLID architectural design patterns, modular decomposition, refactoring strategies, and clean code paradigms for maintainable systems.
Object-Oriented Programming
Tiers 1–4Encapsulation, inheritance taxonomies, dynamic polymorphism, virtual method tables (vtables), and object lifetime management.
Python Programming
Tiers 1–4Python syntax, memory model, data structures, list comprehensions, object-oriented concepts, and standard library tools.
HTML/CSS
Tiers 1–4Semantic HTML5 markup, modern CSS layout models (Flexbox & Grid), responsive design techniques, and CSS custom properties.
JavaScript Basics
Tiers 1–4ES6+ syntax, scope & closures, prototypes, event-driven asynchronous programming, and DOM manipulation APIs.
UI/UX Design Fundamentals
Tiers 1–4User-centered design principles, visual hierarchy, typography, wireframing, interactive prototyping, and usability testing.
Git & GitHub
Tiers 1–4Distributed version control mechanics, git object model (blobs/trees/commits), branching workflows, and GitHub collaboration.
Command Line Basics
Tiers 1–4Unix shell environments, file system navigation, stream redirection, pipes, text processing utilities, and shell scripting.
Mobile App Development Intro
Tiers 1–4Mobile architectures, cross-platform vs native paradigms, responsive UI layouts, lifecycle management, offline storage, and deployment pipelines.
Cloud Computing Basics
Tiers 1–4NIST cloud definitions, shared responsibility, global multi-AZ topology, virtual compute, block and object storage, VPC networking, and IAM security.
Virtualization
Tiers 1–4Hypervisor architectures, Intel VT-x and AMD-V hardware assistance, Extended Page Tables (EPT), virtio I/O, container namespaces, and live migration.
System Administration
Tiers 1–4Linux system administration, boot process, systemd unit management, PAM authentication, LVM storage, and nftables firewalling.
Ethical Hacking Basics
Tiers 1–4Offensive security foundations, reconnaissance, network scanning, OWASP web application vulnerabilities, privilege escalation, and ethical reporting.
Data Analysis Basics
Tiers 1–4Exploratory data analysis, NumPy vectorization, Pandas wrangling, split-apply-combine aggregations, statistical profiling, and Matplotlib data visualization.
SQL Fundamentals
Tiers 1–4Relational query language syntax, Data Manipulation Language (DML), complex joins, subqueries, group aggregations, and window functions.
NoSQL Databases
Tiers 1–4Document stores (MongoDB), key-value stores (Redis), column-family stores (Cassandra), and graph databases (Neo4j).
API Design
Tiers 1–4RESTful resource modeling, OpenAPI specifications, gRPC Protocol Buffers, rate limiting, and API versioning strategies.
Technical Writing
Tiers 1–4Developer documentation, API reference guides, architectural decision records (ADRs), code tutorials, and Markdown workflows.
Agile Methodologies
Tiers 1–4Scrum framework, Kanban flow optimization, user story mapping, velocity estimation, and sprint retrospectives.
Testing & QA
Tiers 1–4Testing pyramid, unit testing frameworks (Jest/PyTest), integration testing, end-to-end automation (Playwright), and TDD.
Advanced Python
Tiers 1–4Python decorators, metaprogramming, descriptors, GIL mechanics, asyncio asynchronous event loop, and C extension modules.
React/Next.js
Tiers 1–4React 18 Virtual DOM reconciliation, Server Components (RSC), Next.js App Router, SSR/SSG rendering, and state management.
Node.js
Tiers 1–4Node.js Libuv event loop, non-blocking I/O, Buffer and Stream pipelines, cluster worker threads, and native C++ addons.
RESTful APIs
Tiers 1–4Architectural principles, Richardson Maturity Model, hypermedia controls, caching headers, keyset pagination, and gateway rate limiting.
GraphQL
Tiers 1–4Declarative data querying, Schema Definition Language (SDL), resolver architecture, DataLoader batching, and Apollo Federation supergraphs.
Docker & Kubernetes
Tiers 1–4Container mechanics, Linux namespaces, cgroups, OverlayFS, Docker Compose networking, kube-scheduler algorithms, and Ingress routing.
CI/CD Pipelines
Tiers 1–4Continuous Integration automation, GitHub Actions workflows, DevSecOps quality gates, progressive delivery canary rollouts, and GitOps ArgoCD reconciliation.
Machine Learning Basics
Tiers 1–4Supervised regression mathematics, logistic classification, evaluation metrics, K-Means clustering, PCA dimensionality reduction, and neural backpropagation.
Data Science Pipelines
Tiers 1–4ETL batch orchestration, Apache Airflow DAGs, feature engineering, Parquet columnar storage, Lakehouse architectures, and MLOps tracking.
WebRTC Fundamentals
Tiers 1–4Peer-to-peer real-time communication, NAT traversal (STUN/TURN), SDP offer/answer exchange, ICE candidate harvesting, and media streams.
System Design
Tiers 1–4Distributed systems scalability, horizontal vs vertical scaling, load balancing algorithms, database sharding, caching, and rate limiting.
Microservices Architecture
Tiers 1–4Service boundary decomposition, inter-service communication (REST/gRPC/Kafka), API gateways, Saga pattern distributed transactions.
Serverless Architecture
Tiers 1–4Function-as-a-Service (FaaS), cold start optimization, event-driven triggers (S3/DynamoDB/EventBridge), stateful step functions.
Network Protocols
Tiers 1–4Deep packet analysis, IP routing algorithms, TCP state machine, QUIC/HTTP3 transport protocol, and BGP exterior routing.
Advanced Security
Tiers 1–4Binary exploitation, return-oriented programming (ROP), hardware security modules (HSM), Zero Trust architecture, and cryptography.
TypeScript
Tiers 1–4Advanced type systems, generics, conditional types, mapped types, template literal types, compiler configuration (tsconfig), and AST.
DevOps Practices
Tiers 1–4Infrastructure as Code (Terraform), Configuration Management (Ansible), Site Reliability Engineering (SRE), SLOs/SLAs, and Prometheus/Grafana.
Big Data Technologies
Tiers 1–4Distributed data processing, Apache Spark RDDs and DataFrames, Apache Kafka event streaming, HDFS storage, and Flink stream processing.
Natural Language Processing
Tiers 1–4Text tokenization, word embeddings (Word2Vec/GloVe), Recurrent Neural Networks (LSTM/GRU), Transformer architecture, and LLM fine-tuning.
Computer Vision
Tiers 1–4Image filtering, edge detection, Convolutional Neural Networks (CNNs), object detection (YOLO), and image segmentation architectures.
Blockchain Basics
Tiers 1–4Cryptographic hash trees (Merkle trees), Proof of Work vs Proof of Stake consensus, UTXO model, Smart Contracts (Solidity), and EVM.
IoT Fundamentals
Tiers 1–4Embedded microcontrollers (ESP32/Raspberry Pi), MQTT protocol, sensor interfacing (I2C/SPI), edge computing, and IoT security.
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