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Engineering Math Series 14: Diagonalization and Dynamic Systems
Explains why diagonalization simplifies computation and how it connects to time-response analysis of systems of differential equations, with examples.
2026-03-19 · 3 min read #engineering-math#linear-algebra#diagonalization#dynamic-systems#2026-03Engineering Math Series 11: Matrices and Linear Systems
Understand matrices not as mere arrays of numbers but as a language for compactly expressing linear systems, and connect them to systems of linear equations.
2026-03-19 · 3 min read #engineering-math#linear-algebra#matrices#linear-systems#2026-03Engineering Math Series 8: Series Solutions and Ordinary Points
Learn why power series solutions are needed when closed-form solutions are not readily available, what an ordinary point is, and the basic expansion process.
2026-03-19 · 3 min read #engineering-math#ode#series-solutions#power-series#2026-03Engineering Math Series 5: Damping, Forced Oscillation, and Resonance
Understand damping, forced oscillation, and the meaning of resonance intuitively through the mass-spring-damper model, and learn how to read engineering system responses.
2026-03-19 · 4 min read #engineering-math#ode#forced-oscillation#resonance#2026-03Engineering Math Series 2: Concepts of First-Order ODEs
Explains what a first-order differential equation is, what it means to deal with rates of change, and what it actually means to find a solution, all at the introductory level.
2026-03-19 · 4 min read #engineering-math#ode#differential-equations#modeling#2026-03Engineering Math Series 22: Complex Numbers and Analytic Functions
Understand complex numbers not as mere imaginary number arithmetic but as a language for handling rotation and oscillation, and explain analytic functions and the Cauchy-Riemann conditions at the introductory level.
2026-03-19 · 2 min read #engineering-math#complex-analysis#complex-numbers#analytic-functions#2026-03Engineering Math Series 19: Fourier Transform and Frequency Domain
Explains the core idea of the Fourier transform for analyzing non-periodic signals from a frequency perspective, and the relationship between time domain and frequency domain.
2026-03-19 · 3 min read #engineering-math#fourier-transform#frequency-domain#signal-processing#2026-03Engineering Math Series 16: Gradient, Divergence, and Curl
Explains what gradient, divergence, and curl each mean as the core operations of vector calculus, with picture-based intuition and simple worked examples.
2026-03-19 · 3 min read #engineering-math#vector-calculus#gradient#divergence#curlEngineering Math Series 13: Eigenvalues and Eigenvectors
Explains the concepts of eigenvalues and eigenvectors -- how much a matrix stretches or shrinks specific directions -- with intuition and worked examples.
2026-03-19 · 3 min read #engineering-math#linear-algebra#eigenvalues#eigenvectors#2026-03Engineering Math Series 10: Solving ODEs with the Laplace Transform
Explains the typical procedure for algebraically solving initial value problems using the Laplace transform of derivatives, with worked examples.
2026-03-19 · 3 min read #engineering-math#laplace-transform#initial-value-problem#ode#2026-03Engineering Math Series 7: Systems of Differential Equations and State Space
Express systems where multiple variables move simultaneously as systems of differential equations, and build the foundations for reading them through matrices and the state-space perspective.
2026-03-19 · 3 min read #engineering-math#ode#systems-of-odes#state-space#2026-03Engineering Math Series 4: Second-Order Linear ODEs
Understand the standard form, characteristic equation, and three basic solution types of second-order linear ODEs, and connect them to the natural response of engineering systems.
2026-03-19 · 3 min read #engineering-math#ode#second-order-ode#vibration#2026-03Engineering Math Series 1: Why Engineering Mathematics Matters
An introductory post explaining why engineering mathematics is the common language of engineering and development, and what topics you will learn in what order.
2026-03-19 · 5 min read #engineering-math#mathematics#modeling#problem-solving#2026-03[Computer Networking] 20. Network Management and SNMP
Learn about network management overview, management infrastructure (managed devices, MIB, agents), SNMP protocol, SMI, ASN.1, and SNMP security.
2026-03-19 · 9 min read #computer-networking#cs-fundamentals[Computer Networking] 17. Wireless Networks and Mobile Communications ♪ Listenable
Learn about wireless link characteristics, WiFi 802.11 architecture and MAC protocol, cellular networks (2G/3G/4G LTE), and mobility management for mobile devices.
2026-03-19 · 25 min read #computer-networking#cs-fundamentals[Computer Networking] 14. Internet Routing: OSPF and BGP
Understand the hierarchical routing structure of the Internet, and learn about intra-AS routing (RIP, OSPF) and inter-AS routing (BGP) operation principles and path selection methods.
2026-03-19 · 7 min read #computer-networking#cs-fundamentals[Computer Networking] 11. Network Layer Overview: Forwarding and Routing
Understand the difference between forwarding and routing as core functions of the network layer, and learn about virtual circuits, datagram networks, and router internals.
2026-03-19 · 8 min read #computer-networking#cs-fundamentals[Computer Networking] 08. Transport Layer: Multiplexing/Demultiplexing and UDP
Covers transport layer services, relationship with the network layer, multiplexing/demultiplexing, UDP segment structure, and UDP checksum.
2026-03-19 · 8 min read #computer-networking#cs-fundamentals[Computer Networking] 05. Application Layer: HTTP and the Web
Covers network application architectures, how the HTTP protocol works, persistent/non-persistent connections, HTTP message formats, cookies, web caching, and conditional GET.
2026-03-19 · 8 min read #computer-networking#cs-fundamentals[Computer Networking] 02. Network Core: Packet Switching vs Circuit Switching
Compares packet switching and circuit switching in the network core, and covers the concept of a network of networks through the ISP hierarchy.
2026-03-19 · 7 min read #computer-networking#cs-fundamentals