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    • Differential Equation

    Differential Equation Courses Online

    Understand differential equations for modeling dynamic systems. Learn to solve and apply differential equations in various fields.

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    Explore the Differential Equation Course Catalog

    • U

      University of Colorado Boulder

      Kinetics: Studying Spacecraft Motion

      Skills you'll gain: Vibrations, Mechanics, Torque (Physics), Engineering Calculations, Engineering Analysis, Differential Equations, Mechanical Engineering, Structural Analysis, Mathematical Modeling, Simulation and Simulation Software, Applied Mathematics, Advanced Mathematics, Linear Algebra, Physics, Calculus

      4.8
      Rating, 4.8 out of 5 stars
      ·
      132 reviews

      Advanced · Course · 1 - 4 Weeks

    • J

      Johns Hopkins University

      Calculus through Data & Modeling: Precalculus Review

      Skills you'll gain: Data Modeling, Graphing, Mathematical Modeling, Algebra, Trigonometry, Linear Algebra, Calculus, Advanced Mathematics, Applied Mathematics, Geometry

      4.8
      Rating, 4.8 out of 5 stars
      ·
      110 reviews

      Beginner · Course · 1 - 3 Months

    • J

      Johns Hopkins University

      Calculus through Data & Modelling: Vector Calculus

      Skills you'll gain: Integral Calculus, Calculus, Data Integration, Mathematical Theory & Analysis, Advanced Mathematics, Visualization (Computer Graphics), Applied Mathematics, Spatial Data Analysis, Geometry, Physics

      4.7
      Rating, 4.7 out of 5 stars
      ·
      40 reviews

      Intermediate · Course · 1 - 4 Weeks

    • C

      Caltech

      Pricing Options with Mathematical Models

      Skills you'll gain: Derivatives, Financial Market, Securities (Finance), Finance, Risk Modeling, Mathematical Modeling, Financial Modeling, Risk Management, Mathematics and Mathematical Modeling, Probability, Differential Equations, Applied Mathematics, Probability Distribution, Calculus, Correlation Analysis

      4.7
      Rating, 4.7 out of 5 stars
      ·
      33 reviews

      Intermediate · Course · 1 - 3 Months

    • U

      University of Colorado Boulder

      Quantum Mechanics

      Skills you'll gain: Engineering Calculations, Mathematical Software, Engineering Analysis, Numerical Analysis, Physics, Simulation and Simulation Software, Applied Mathematics, Mathematical Modeling, Advanced Mathematics, Differential Equations, Physical Science

      4.5
      Rating, 4.5 out of 5 stars
      ·
      718 reviews

      Advanced · Course · 1 - 4 Weeks

    • R

      Rice University

      Physics of Oscillators and Waves

      Skills you'll gain: Mechanics, Physics, Vibrations, Engineering Analysis, Advanced Mathematics, Mathematical Modeling, Differential Equations, Calculus, Trigonometry, Applied Mathematics

      5
      Rating, 5 out of 5 stars
      ·
      7 reviews

      Intermediate · Course · 1 - 4 Weeks

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      Status: Free
      Free
      U

      University of Pennsylvania

      Calculus: Single Variable Part 4 - Applications

      Skills you'll gain: Calculus, Integral Calculus, Applied Mathematics, Probability & Statistics, Geometry, Probability, Engineering Calculations, Advanced Mathematics, Torque (Physics), Statistics, Mechanics, Mathematical Modeling, Physics

      4.9
      Rating, 4.9 out of 5 stars
      ·
      273 reviews

      Mixed · Course · 1 - 3 Months

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      Status: Free
      Free
      U

      Universidad Nacional Autónoma de México

      Funciones algebraicas y trascendentes

      Skills you'll gain: Algebra, Mathematical Software, Trigonometry, Mathematical Modeling, Graphing, Geometry, Arithmetic, Applied Mathematics

      4.5
      Rating, 4.5 out of 5 stars
      ·
      131 reviews

      Beginner · Course · 1 - 3 Months

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      R

      Rice University

      Business Statistics and Analysis

      Skills you'll gain: Statistical Hypothesis Testing, Microsoft Excel, Pivot Tables And Charts, Regression Analysis, Descriptive Statistics, Probability & Statistics, Graphing, Spreadsheet Software, Probability Distribution, Business Analytics, Statistical Analysis, Statistical Modeling, Excel Formulas, Data Analysis, Data Presentation, Statistics, Sample Size Determination, Box Plots, Analytical Skills, Statistical Inference

      4.7
      Rating, 4.7 out of 5 stars
      ·
      12K reviews

      Beginner · Specialization · 3 - 6 Months

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      Status: Free
      Free
      É

      École Polytechnique Fédérale de Lausanne

      Mécanique Lagrangienne

      Skills you'll gain: Mechanics, Vibrations, Advanced Mathematics, Physics, Differential Equations, Linear Algebra, Calculus, Mathematical Modeling

      4.6
      Rating, 4.6 out of 5 stars
      ·
      36 reviews

      Mixed · Course · 1 - 3 Months

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      T

      The University of Sydney

      Introduction to Linear Algebra

      Skills you'll gain: Linear Algebra, Markov Model, Geometry, Arithmetic, Algebra, General Mathematics, Advanced Mathematics, Probability, Mathematics and Mathematical Modeling, Mathematical Theory & Analysis, Applied Mathematics, Statistical Methods, Engineering Analysis

      4.9
      Rating, 4.9 out of 5 stars
      ·
      27 reviews

      Intermediate · Course · 1 - 4 Weeks

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      R

      Rice University

      Physics 102 - AC Circuits and Maxwell's Equations

      Skills you'll gain: Basic Electrical Systems, Electrical Engineering, Physics, Engineering Analysis, Engineering Calculations, Mathematical Modeling, Applied Mathematics, Advanced Mathematics, Electronic Components, Calculus, Differential Equations, Integral Calculus, Trigonometry, Derivatives

      4.9
      Rating, 4.9 out of 5 stars
      ·
      31 reviews

      Intermediate · Course · 1 - 4 Weeks

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    In summary, here are 10 of our most popular differential equation courses

    • Kinetics: Studying Spacecraft Motion: University of Colorado Boulder
    • Calculus through Data & Modeling: Precalculus Review: Johns Hopkins University
    • Calculus through Data & Modelling: Vector Calculus: Johns Hopkins University
    • Pricing Options with Mathematical Models: Caltech
    • Quantum Mechanics: University of Colorado Boulder
    • Physics of Oscillators and Waves: Rice University
    • Calculus: Single Variable Part 4 - Applications: University of Pennsylvania
    • Funciones algebraicas y trascendentes : Universidad Nacional Autónoma de México
    • Business Statistics and Analysis: Rice University
    • Mécanique Lagrangienne: École Polytechnique Fédérale de Lausanne

    Frequently Asked Questions about Differential Equation

    A differential equation is a mathematical formula common in science and engineering that seeks to find the rate of change in one variable to other variables. Differential equations use derivatives, which are variables that represent change of a functional dependence of one variable upon another. In many differential equations, you will see the derivatives expressed in x and y terms. Differential equations are used in areas of quantitative study because they help scientists and engineers find solutions that may be used to predict the behavior of an original system. These solutions, called functions, show rates of change in matters that can be directly observed and measured.‎

    It is valuable to learn differential equations as these are found and used in traditional sciences like physics, engineering, chemistry, and biology and numerical sciences like math, scientific computing, machine learning, and artificial intelligence. Differential equations are used in these areas to find rates of change in problems like circuit design, heat transfer, fluid mechanics, seismic waves, or in finance for options trading. Learning about differential equations can help you if you choose to study and eventually work in these fields.‎

    Some typical career opportunities for those who learn differential equations are in science and engineering jobs like control software engineer, computational fluid dynamics analyst, data scientist, meteorology scientist, and similar weather science roles. You may also find career opportunities in research science, electromagnetics, physics, and electrical engineering positions. Jobs in options trading are also possible if you know differential equations, as traders often use these formulas in software programs to assess a current value or volatility of a particular stock price.‎

    Taking online courses in differential equations might help you grasp the fundamentals of first-order differential equations, second-order linear differential equations, and mathematical modeling problems. When you study the key aspects of differential equations in online courses, you may also learn the basics of related scientific and mathematical disciplines of discrete mathematics, linear algebra, and statistical probability.‎

    Online Differential Equation courses offer a convenient and flexible way to enhance your knowledge or learn new Differential Equation skills. Choose from a wide range of Differential Equation courses offered by top universities and industry leaders tailored to various skill levels.‎

    When looking to enhance your workforce's skills in Differential Equation, it's crucial to select a course that aligns with their current abilities and learning objectives. Our Skills Dashboard is an invaluable tool for identifying skill gaps and choosing the most appropriate course for effective upskilling. For a comprehensive understanding of how our courses can benefit your employees, explore the enterprise solutions we offer. Discover more about our tailored programs at Coursera for Business here.‎

    This FAQ content has been made available for informational purposes only. Learners are advised to conduct additional research to ensure that courses and other credentials pursued meet their personal, professional, and financial goals.

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