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Differential Equation Jobs (NOW HIRING)

Differential Equations Tutor

LA ยท Remote

$40/hr

Familiar with differential equations curricula and common struggles including determining equation type, applying integrating factors, and interpreting phase portraits. Adapts instruction using ...

Familiar with differential equations curricula and common struggles including determining equation type, applying integrating factors, and interpreting phase portraits. Adapts instruction using ...

Differential Equations Tutor

OR ยท Remote

$40/hr

Familiar with differential equations curricula and common struggles including determining equation type, applying integrating factors, and interpreting phase portraits. Adapts instruction using ...

Familiar with differential equations curricula and common struggles including determining equation type, applying integrating factors, and interpreting phase portraits. Adapts instruction using ...

Familiar with differential equations curricula and common struggles including determining equation type, applying integrating factors, and interpreting phase portraits. Adapts instruction using ...

Familiar with differential equations curricula and common struggles including determining equation type, applying integrating factors, and interpreting phase portraits. Adapts instruction using ...

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Differential Equation information

What are the key skills and qualifications needed to thrive as a Differential Equations Instructor, and why are they important?

To thrive as a Differential Equations Instructor, you need a strong background in advanced mathematics, particularly in calculus and differential equations, typically supported by at least a master's degree in mathematics or a related field. Familiarity with mathematical software such as MATLAB, Mathematica, or Maple, and experience using learning management systems, are commonly required. Excellent communication, patience, and the ability to simplify complex concepts are standout soft skills for this role. These skills ensure effective teaching, student comprehension, and academic success in a subject foundational to many STEM fields.

What are differential equations?

Differential equations are mathematical equations that relate a function with its derivatives, describing how a quantity changes in relation to another. They are used to model various real-world phenomena such as motion, growth, decay, and heat transfer. Differential equations are fundamental in fields like physics, engineering, biology, and economics, and can be classified as ordinary (ODE) or partial (PDE) based on the number of independent variables involved. Solving these equations helps predict the future behavior of dynamic systems.

What is the difference between Differential Equation vs Data Analyst?

AspectDifferential EquationData Analyst
Required CredentialsMathematics or Engineering degree, specialized training in differential equationsStatistics, Data Science, or related degree, proficiency in data analysis tools
Work EnvironmentResearch labs, academia, engineering firmsBusiness, finance, healthcare, technology companies
Industry UsageModeling physical systems, engineering problemsInterpreting data, generating reports, supporting decision-making

While Differential Equations focus on mathematical modeling of dynamic systems, Data Analysts interpret data to inform business decisions. Both roles require analytical skills but serve different purposes within their industries.

What are some typical challenges faced by professionals who work with differential equations in applied industries?

Professionals who work with differential equations, such as applied mathematicians, engineers, or data scientists, often encounter challenges like formulating real-world problems into solvable mathematical models and choosing the most appropriate numerical or analytical methods. Collaborating with interdisciplinary teams is common, requiring clear communication of complex mathematical concepts to non-specialists. Additionally, managing computational limitations and ensuring model accuracy with limited data can be demanding but also rewarding as solutions directly impact product development or scientific research.
Infographic showing various Differential Equation job openings in the United States as of May 2026, with employment types broken down into 1% As Needed, 91% Full Time, 5% Part Time, and 3% Nights. Highlights an 17% Physical, and 83% Remote job distribution.
Associate Research Scientist

Associate Research Scientist

Columbia University in the City of New York

New York, NY โ€ข On-site

Full-time

Posted 17 days ago


Job description

Description
The Department of Radiology Clinical Research Division invites applications for an Associate Research Scientist to join the Center for Advanced Diagnostic Research (CADRe) of Dr. Stella Kang. The successful candidate will lead the development and implementation of advanced computational models of disease, with a focus on oral lesions and cancers.
This position involves the design, execution, and analysis of quantitative disease simulation models, including state-transition (Markov) models, discrete event simulations, differential equations, and agent-based modeling approaches. The candidate will integrate epidemiologic and clinical data from national datasets and the scientific literature into robust computational frameworks.
Specific duties include:
  • Design, develop, and validate computational disease models using state-transition, discrete event, differential equation, and agent-based modeling methodologies.
  • Implement simulation models in Python, R, C, C++, or other scientific programming environments.
  • Integrate model parameters using national datasets for incidence, mortality, and related epidemiologic outcomes.
  • Conduct structured literature reviews to inform model inputs, assumptions, and validation.
  • Apply principles of diagnostic test accuracy, including ROC analysis.
  • Perform statistical analyses, including multivariable regression and time-to-event methods, as needed to support modeling.
  • Develop and maintain databases of model inputs, outputs, and analytical results.
  • Prepare manuscripts, abstracts, and presentations for peer-reviewed journals and scientific conferences.
  • Present regular progress updates to the Principal Investigator and collaborate with a multidisciplinary research team.
  • Mentor junior researchers, including Postdoctoral Fellows and research assistants, as appropriate.

Qualifications
Minimum Qualifications:
  1. Ph.D. in decision sciences, industrial engineering, epidemiology, biostatistics, mathematics, engineering, computational sciences, or a related quantitative field.
  2. Demonstrated expertise in simulation modeling methodologies, including Markov/state-transition, discrete event, differential equation, and/or agent-based modeling.
  3. Strong foundation in probability theory and statistical methods.
  4. Proficiency in scientific programming (Python, R, C, C++, or equivalent).
  5. Experience conducting systematic literature searches using PubMed/MEDLINE, Embase, or similar databases.
  6. Excellent written and oral communication skills in a scientific context.
  7. Strong organizational skills for managing complex datasets and multi-component modeling projects

Preferred Qualifications:
  • Experience in decision analytic modeling or economic evaluation.
  • Knowledge of epidemiologic methods and health outcomes research.
  • Prior involvement in modeling cancer or oral lesion progression.
  • Experience mentoring trainees and collaborating within multidisciplinary research teams.