what is a math modeling course

by Prof. Bella Beatty Jr. 8 min read

Course description
This course provides an introduction to modeling through in-depth discussions of a series of examples, and hands-on exercises and projects that make use of a range of continuous and discrete mathematical tools.

Full Answer

How to learn mathematical modeling?

What you'll learn

  • To follow the process of the mathematical modelling cycle: formulate a real-life problem, construct an appropriate mathematical model, calculate solutions and validate the results.
  • More about (systems of) ordinary differential equations.
  • Solve the ordinary differential equations and implement Euler's method in a (Python) program.

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How do you create mathematical models?

  • You should also list any information that can be assumed based on what you already know.
  • Keep in mind that you may have to take measurements to find the data that you need.
  • To find out how much room you have in your storage unit, you will need to measure the unit's height, width, and length.

What is a job in mathematical modelling like?

Mathematical modeling involves using numbers and equations to analyze and explain complex systems and processes. Computer programmers use mathematical modeling to create software that forecasts events, performs analysis of data sets, and creates a simulation based on actual information.

What are cool mathematical modeling projects?

MATH PROJECTS 3-5. This resource contains 42 math projects designed to provide opportunities for students to make their own decisions as to how to research, organize and record their work without the confining structure of a worksheet. Each project includes a student-friendly rubric to provide students with a clear understanding of expectations.

Mathematical Modelling Basics

Apply mathematics to solve real-life problems. Make a mathematical model that describes, solve and validates your problem. Improve your model.

About this course

How do populations grow? How do viruses spread? What is the trajectory of a glider? Many real-life problems can be described and solved by mathematical models.

What you'll learn

To follow the process of the mathematical modelling cycle: formulate a real-life problem, construct an appropriate mathematical model, calculate solutions and validate the results.

Syllabus

Introduction to the cycle of mathematical modelling. We will start describing a population of fish by a differential equation.

Learner testimonials

"Why do I need mathematics is no longer a question for me. So many phenomena and problems can be modelled using mathematics. I really enjoyed making a model to describe how the virus we studied spread. Every engineering or science student should take this course!"

Mathematical modeling courses and certificates

Students can participate in a variety of mathematics courses on the modeling of real-world problems. High Dimensional Data Analysis from HarvardX offers training in several mathematical techniques for this type of data, including clustering, heat maps, and dimension reduction.

Learn mathematical modeling with edX

edX offers training in the types of models that shed light on big data. Students participating in mathematical modeling courses can work in fields like public health, research new drug delivery in biotech, or just study the world around them on their own time.

Mathematical Modeling

Mathematics can be found in nature, social behavior, and even in the way a population grows. It can be used to determine whether a meteor will impact Earth, predict the spread of infectious disease, or analyze a remarkably close presidential election.

Explore the study of shapes

Geometry courses allow students to describe the world around them in basic and profound ways. Our younger students learn about shape, scale, and proportion in Geometry and Spatial Sense. Middle School students explore beautiful applications of lines, angles, non-Euclidean geometry, and more in Geometry through Art.

Dive deep into logic and reasoning

Our courses in formal logic give you the tools to question the world around you. Younger students are introduced to different types of reasoning, as well as the strengths and weaknesses inherent in various forms of critical analysis in Inductive and Deductive Reasoning.

Meet our instructors and staff

When I was a student at CTY, I was excited to be in a place where all of the instructors and program assistants loved learning as much as I did. It wasn't until I came back as a PA that I realized CTY instructors feel just as excited to work with such dedicated and curious students.

Modeling with Mathematics

Harness and integrate the math skills you’ve learned in school while exploring their applications and interconnectedness in-depth in this unique mathematics modeling course. Through course materials, assignments, and class activities, you’ll work to solve interesting problems using techniques taught in Pre-Algebra, Algebra 1, and Geometry.

Technical Requirements

This course requires a computer with high-speed Internet access and an up-to-date web browser such as Chrome or Firefox. You must be able to communicate with the instructor via email. Visit the Technical Requirements and Support page for more details.

About Mathematics at CTY

Our online Mathematics courses—spanning elementary through college-level curricula—cover a wide range of topics, from algebra and geometry to chess, cryptology, and AP Calculus and are guided by expert instructors. You’ll join group sessions with classmates to ensure you stay on track with challenging course content.

New math enrichment courses available!

Explore our new math enrichment courses, including Excursions in Pre-algebra, Mathematical Modeling, and Introduction to Logic and Proofs.

Join the exciting world of competitive math

Participate in the High School Math Club or enroll in 7 IP courses: Math Olympiad for Elementary School Students, Middle School Competitive Math I, Middle School Competitive Math II, Middle School Competitive Math III, Competitive Mathematics Prep, Competitive Mathematics I, Competitive Mathematics II.

Meet our Mathematics Instructors

I am so excited when students are able to persevere and decode a very challenging cipher in the course! I love that Cryptology teaches patience and dedication, and that mathematics is so much more than just the study of numbers and equations.

What is mathematical modeling?

While there is no consensus yet as to a precise definition of this term, mathematical modeling is generally understood as the process of applying mathematics to a real world problem with a view of understanding the latter.

Is math beyond K-12?

The mathematical models used may be way beyond K-12 syllabus but not the mathematical reasoning and thinking involve. As the introduction in each episode of Numbers says: We all use math every day; to predict weather, to tell time, to handle money. Math is more than formulas or equations; it’s logic, it’s rationality,

What is the Ohio Math Initiative?

The Ohio Department of Education partnered with the Ohio Department of Higher Education and the Ohio Math Initiative (OMI) to create a math transition course with the purpose of preparing Ohio high school seniors who have not earned a remediation-free score for a college entry-level mathematics course. (Entry-level mathematics courses may include ...

When is phase 2 of math in Ohio?

The Ohio Department of Education is seeking schools from across the state to participate in Phase 2 of the expansion of the Mathematics Modeling and Reasoning Course Pilot for the 2021-2022 school year.

When will piloting teachers start?

Piloting teachers will be assigned a higher education collaborator in the summer of 2021. Begin pilot in the 2021-2022 school year.

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​​What Is Mathematical Modeling?

Learning About Mathematical Models

  • ​edX offers courses designed in partnership with leading thinkers in the field of mathematics and analytics. Students explore courses for free for personal growth and collaborate with like-minded peers from around the world. edX also offers official tracks. Once students pay the fee, they receive lifetime access to the course and its materials, along with official grades and progress r…
See more on edx.org

Mathematical Modeling Courses and Certificates

  • Students can participate in a variety of mathematics courses on the modeling of real-world problems. High Dimensional Data Analysis from HarvardX offers training in several mathematical techniques for this type of data, including clustering, heat maps, and dimension reduction. Purdue University offers Probability: Basic Concepts & Discrete Random Variables. The course covers w…
See more on edx.org

Learn Mathematical Modeling with Edx

  • edX offers training in the types of models that shed light on big data. Students participating in mathematical modeling courses can work in fields like public health, research new drug delivery in biotech, or just study the world around them on their own time. Mathematical modeling forms the foundation of neural networks and can examine datasets to...
See more on edx.org