Tag: #engineering-math
Writing on GPUs, LLMs, MLOps, Kubernetes — and mindset · 28 posts
28 posts are tagged #engineering-math; the most recent was published on 2026-03-19.
Often tagged together: #2026-03 28 #ode 10 #linear-algebra 5 #vector-calculus 4 #laplace-transform 3
Most read in the last 90 days:
Engineering Math Series 23: Complex Integration and the Residue Idea
Explains why complex integration is so powerful, and what insights the Cauchy integral theorem and residue idea provide for real integrals and system analysis, from the beginner perspective.
2026-03-19 · 3 min read #engineering-math#complex-analysis#contour-integration#residue#2026-03Engineering Math Series 20: Classification and Meaning of PDEs
Explains why partial differential equations are needed, how they differ from ODEs, and what physical meaning the parabolic, hyperbolic, and elliptic classification carries.
2026-03-19 · 3 min read #engineering-math#pde#partial-differential-equations#modeling#2026-03Engineering Math Series 17: Line Integrals, Surface Integrals, and Integral Theorems
Understand what line integrals and surface integrals accumulate, and organize the big meaning of Green, Gauss, and Stokes theorems at the introductory level.
2026-03-19 · 3 min read #engineering-math#vector-calculus#line-integral#surface-integral#theoremsEngineering 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#2026-03Engineering Math Series 24: Numerical Methods, Optimization, Graphs, Probability and Statistics Roadmap
Wraps up the first cycle of the engineering math series and organizes why numerical methods, optimization, graphs, and probability and statistics matter, plus the recommended study order.
2026-03-19 · 4 min read #engineering-math#numerical-methods#optimization#probability#statisticsEngineering Math Series 21: Heat, Wave, and Laplace Equations
Compares the differences and application contexts of the three most representative PDEs in engineering math: the heat equation, wave equation, and Laplace equation.
2026-03-19 · 3 min read #engineering-math#pde#heat-equation#wave-equation#laplace-equationEngineering Math Series 18: Fourier Series
Explains the core idea of Fourier series -- representing periodic functions as sums of sines and cosines -- and the meaning of coefficient calculation at the introductory level.
2026-03-19 · 3 min read #engineering-math#fourier-series#signal-processing#periodic-functions#2026-03Engineering Math Series 15: Vectors, Geometry, and Vector Fields
Understand vectors not as mere lists of coordinates but as geometric objects with direction and magnitude, and introduce what vector fields mean in engineering at the introductory level.
2026-03-19 · 3 min read #engineering-math#vector-calculus#vectors#vector-fields#2026-03