Real-Life Applications of Mathematics


In fact, during school, we have all studied maths every year, some times even cursing the complex calculations and procedures wondering what they have to do with our lives. Come, read on to explore the mathematics in real life!


Algebra
  • Computer Science
  • Cryptology (and the Protection of financial accounts with encrypted codes)
  • Scheduling tasks on processors in a heterogeneous multiprocessor computing network
  • Alteration of pattern pieces for precise seam alignment
  • Study of crystal symmetry in Chemistry (Group Theory)
Differential Equations (Ordinary and Partial) and Fourier Analysis
  • Most of Physics and Engineering (esp. Electrical and Mechanical)
  • Sound waves in air; linearized supersonic airflow
  • Crystal growth
  • Cryocooler modeling
  • Casting of materials
  • Materials science
  • Electromagnetics analysis for detection by radar
  • Material constitutive modeling and equation of state
  • Underwater acoustic signal processing
  • Predict the evolution of crystals growing in an industrial crystallizer
  • Reentry simulations for the Space Shuttle
  • Rocket launch trajectory analysis
  • Trajectory prescribed path control and optimal control problems
  • Motion of a space vehicle
  • Aircraft landing field length
  • Design and analysis of control systems for aircraft
  • Underwater acoustic signal processing
  • Nonlinear dynamics
  • Large scale shock wave physics code development
  • Material constitutive modeling and equation of state
  • Molecular and cellular mechanisms of toxicity
  • Transport and disposition of chemicals through the body
  • Modeling of airflow over airplane bodies
  • Photographic development (Eastman Kodak)
  • Waves in composite media
  • Immuno-assay chemistry for developing new blood tests
  • Radio interferometry
  • Free mesons in nuclear physics
  • Seismic wave propagation in the earth (earthquakes)
  • Heat transfer
  • Airflow over airplane bodies (aerodynamics)
Differential and Computational Geometry
  • Computer aided design of mechanical parts and assemblies
  • Terrain modeling
  • Molecular beam epotaxy modeling (computational geometry)
  • Color balance in a photographic system
  • Optics for design of a reflector
  • Cryptology
  • Airflow patterns in the respiratory tract
Probability and Statistics
  • Calculation of insurance risks and price of insurance
  • Analysis of statistical data taken by a census
  • Reliability and uncertainty of large scale physical simulations
  • Speech recognition
  • Signal processing
  • Computer network design
  • Tracking and searching for submarines
  • Estimation of ocean currents (geostatistics)
  • Paint stripping using lasers
  • Onset and progression of cancer and pre-malignant cells
  • Determining launch schedules to establish and maintain prescribed satellite constellations (also uses Monte Carlo methods)
  • Radar track initiation
  • Aircraft survivability and effectiveness
  • Color sample acceptance tolerance correlation and prediction
  • Determination of sample sizes for color acceptability evaluation (uses advanced statistical methods)
  • Underwater acoustic signal processing
  • Reliability analysis of complex systems
  • Radio interferometry
Numerical Analysis
  • Estimation of ocean currents
  • Modeling combustion flow in a coal power plant
  • Airflow patterns in the respiratory tract (and diff. eqs.)
  • Regional uptake of inhaled materials by respiratory tract
  • Transport and disposition of chemicals through the body (and ODEs + PDEs)
  • Molecular and cellular mechanisms of toxicity (and ODEs + PDEs)
  • Reentry simulations for the Space Shuttle
  • Trajectory prescribed path control and optimal control problems
  • Shuttle/tank separation
  • Scientific programming
  • Modeling of airflow over airplane bodies
  • Electromagnetics analysis for detection by radar
  • Design and analysis of control systems for aircraft
  • Electromagnetics
  • Large scale shock wave physics code development
  • Curve fitting of tabular data
Operations Research and Optimization
  • Network formulation of cut order planning problem
  • Shade sorting of colored samples to an acceptable tolerance by hierarchical clustering
  • Inventory control for factory parts
  • Search for and tracking of submarines
  • Motion of a space vehicle
  • Aircraft survivability and effectiveness
  • Interplanetary mission analysis
  • Radio interferometry
  • Scheduling tasks on processors in a heterogeneous multiprocessor computing network
  • Microwave measurements analysis
  • Coordinate measuring machine (optimization error modeling)
  • Optics for design of a reflector
  • Materials science
  • Reliability and uncertainty of large scale physical simulations


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