Course Overview

Numerical Analysis · Axiom Academy

INTRO Welcome to Numerical Analysis Discover how computers solve mathematical problems that have no exact solutions Many real-world equations cannot be solved exactly. Click the buttons below to see the difference between exact and approximate solutions: Numerical methods power modern technology. Click on each application area to learn more: Structural analysis, fluid dynamics, circuit simulation Climate models, molecular dynamics, astrophysics Option pricing, risk analysis, portfolio optimization Optimization, neural network training, inference Rendering, physics simulation, animation Medical imaging, drug modeling, epidemiology This course covers the essential topics in numerical analysis. Click each topic to see what's involved: Bisection, Newton, Secant methods Trapezoidal, Simpson, Gaussian Finite differences, Richardson Gaussian, LU, Iterative methods More accurate methods often require more computation. Finding the right balance is crucial. How quickly does an iterative method approach the true answer? Linear, quadratic, or higher? Small errors in input or rounding shouldn't cause catastrophic errors in output. Understanding truncation and roundoff errors helps choose appropriate methods and parameters.

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