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MATH 251Ordinary and Partial Differential Equations

4 credits · Mathematics · Penn State

First- and second-order equations; special functions; Laplace transform solutions; higher order equations; Fourier series; partial differential equations.

Before you enroll

Prerequisites

You need:

Where it fits

Where it sits in degree plans

Suggested plans most often put it in Year 2 · Fall (18 programs).

Required in (21)

  • Astronomy and Astrophysics, B.S.
  • Chemical Engineering, B.S.
  • Electrochemical Engineering, Minor
  • Energy Engineering, B.S.
  • Engineering Science, B.S.
  • Engineering, B.S.
  • Environmental Systems Engineering, B.S.
  • Materials Science and Engineering, B.S.
  • Mathematics, B.S. (Behrend)
  • Mechanical Engineering, B.S. (Altoona)
  • Mechanical Engineering, B.S. (Behrend)
  • Mechanical Engineering, B.S. (Berks)
  • and 9 more

One of the options in (14)

  • Aerospace Engineering, B.S.
  • Architectural Engineering, B.A.E.
  • Biological Engineering, B.S.
  • Biomedical Engineering, B.S.
  • Civil Engineering, B.S. (Capital)
  • Civil Engineering, B.S. (Engineering)
  • Electrical Engineering, B.S. (Engineering)
  • Geophysics, Minor
  • Mathematics Applications, Minor
  • Mathematics, B.A.
  • Mathematics, B.S. (Science)
  • Mathematics, Minor (Science)
  • and 2 more
What it opens up

Courses that list MATH 251 as a prerequisite (71)

  • ACS 404 Introduction to Acoustics
  • AERSP 301 Aerospace Structures
  • AERSP 308 Mechanics of Fluids
  • AERSP 309 Astronautics
  • AERSP 311 Aerodynamics I
  • AERSP 313 Aerospace Analysis
  • AERSP 423 Introduction to Numerical Methods in Fluid Dynamics
  • ASTRO 442 Astrophysical Fluid Dynamics
  • BE 301 Mathematical Modeling of Biological and Physical Systems
  • BE 302 Heat and Mass Transfer in Biological Systems
  • BE 404 Engineering Properties of Food and Biological Materials
  • BME 301 Analysis of Physiological Systems
  • BME 303 Bio-continuum Mechanics
  • BME 313 Thermodynamics for Biomedical Engineering
  • BME 402 Biomedical Instrumentation and Measurements
  • BME 408 Solid Mechanics of Biological Materials
  • BME 409 Biofluid Mechanics
  • BME 413 Mass Transport in Biological Systems
  • BME 423 Reaction Kinetics of Biological Systems
  • CHE 230 Computational Tools for Chemical Engineering
  • CHE 330 Process Fluid Mechanics
  • CHE 340 Introduction to Biomolecular Engineering
  • CHE 350 Process Heat Transfer
  • CHE 360 Mathematical Modeling in Chemical Engineering
  • CHE 450 Process Dynamics and Control
  • EBF 484 Energy Economics
  • EE 210 Circuits and Devices
  • EE 350 Continuous-Time Linear Systems
  • EE 353 Signals and Systems: Continuous and Discrete-Time
  • EME 301 Thermodynamics in Energy and Mineral Engineering
  • EME 303 Fluid Mechanics in Energy and Mineral Engineering
  • ENVSE 470 Engineering Risk Analysis
  • ESC 386 Engineering Principles of Living Organisms
  • ESC 400 Electromagnetic Fields
  • ESC 404 Analysis in Engineering Science
  • ESC 460M Multidisciplinary Design Project
  • ESC 460W Multidisciplinary Design Project
  • MATH 405 Advanced Calculus for Engineers and Scientists I
  • MATH 411 Ordinary Differential Equations
  • MATH 412 Fourier Series and Partial Differential Equations
  • MATH 417 Qualitative Theory of Differential Equations
  • MATH 419 Theoretical Mechanics
  • MATH 449 Applied Ordinary Differential Equations
  • MATH 479 Special and General Relativity
  • MATH 490H Honors Student Colloquium
  • ME 320 Fluid Flow
  • ME 330 Computational Tools
  • ME 348 Circuit Analysis, Instrumentation, and Statistics
  • ME 357 System Dynamics
  • ME 370 Vibration of Mechanical Systems
  • ME 380 Machine Dynamics
  • ME 423 Introduction to Numerical Methods in Fluid Dynamics
  • MNPR 401 Mineral Process Engineering
  • NUCE 301 Fundamentals of Reactor Physics
  • NUCE 309 Analytical Techniques for Nuclear Concept
  • NUCE 321 Introduction to Thermal-Fluid Sciences for Nuclear Engineers - I
  • NUCE 401 Introduction to Nuclear Engineering
  • NUCE 480 Foundations of Nuclear Engineering
  • PHYS 400 Intermediate Electricity and Magnetism
  • PHYS 402 Electronics for Scientists
  • PHYS 404 Introduction to Acoustics
  • PHYS 410 Introduction to Quantum Mechanics I
  • PHYS 419 Theoretical Mechanics
  • PHYS 420 Thermal Physics
  • PHYS 430 Introduction to Computational Physics
  • PHYS 458 Intermediate Optics
  • PHYS 479 Special and General Relativity
  • PNG 420 Applied Reservoir Analysis and Secondary Recovery
  • PNG 425 Principles of Well Testing and Evaluation
  • PNG 430 Reservoir Modeling
  • SUR 352 Geometric and Physical Geodesy