Mathematical Models Interactive Videos

Explore mathematical models and their role in kinematic equations, covering concepts such as velocity-time graphs and linearization. Learners will understand kinematic equations for motion analysis in physics, graphical motion representation, and skills to linearize complex relationships for improved predictability and analysis.

Explore mathematical models to solve real-world problems involving exponential decay in candy consumption. Learners will enhance their understanding of how mathematical concepts can predict outcomes and apply models in everyday scenarios.

Study the core principles that differentiate scientific models from mathematical models, enriched by historical discoveries in science and techniques of mathematical differentiation. Insights into the application of these models will be developed alongside an understanding of differentiation, aimed at enhancing analytical skills within scientific and mathematical frameworks.

Examine the essential role of mathematical models in scientific applications, focusing on their utility in prediction, approximation, and filling observational gaps. Develop an understanding of model construction, refinement, and application, enhancing the ability to use these tools effectively in scientific investigations.

Analyze mathematical models inspired by Galileo's observations of Jupiter's moons to describe celestial motion. Gain insights into various modeling approaches that provide valuable scientific perspectives and enhance understanding of astronomical concepts.

Develop essential skills in mathematical modeling and system dynamics by engaging in practical exercises. Focus on defining systems, comprehending input-output relationships, and applying modeling techniques to real-world scenarios, such as analyzing economic evaluations of Mongolian earnings and taxes.

Explore predictive analysis through mathematical modeling, concentrating on digital photo trends and nurse workforce projections. Develop the ability to interpret model outcomes and make informed predictions about real-world scenarios.

Engage with foundational concepts of mathematical modeling and the Pythagorean theorem through interactive problem-solving scenarios. Develop skills in applying the Pythagorean theorem to real-world contexts, enhancing mathematical modeling abilities, and honing problem-solving strategies.

Explore the impact of mathematical biology on understanding and modeling infectious diseases, focusing on concepts like the SIR model and exponential growth. Enhance analytical skills by applying mathematics to real-world epidemic scenarios.

Explore the intricate structure and organization of DNA, focusing on the double helix design, base pair alignment, and the challenges faced in cellular packaging. Gain an understanding of DNA's geometrical properties and its role in cell biology, enhancing knowledge of molecular biology and genetic organization.

Explore various modeling techniques, examining their limitations and applications within engineering and education. Learners will distinguish between different models, comprehend their advantages, and apply this knowledge to practical scenarios.

Master the process of constructing computational models by understanding underlying phenomena and using spreadsheets for data analysis. Develop the skills to automatically generate outputs and refine models to align with real-world data. Enhance analytical thinking and computational skills by engaging in systematic model building and testing.

Examine the mathematical principles involved in catching Pokémon by focusing on probability theory and distribution models. Gain insights into applying mathematics to model real-world scenarios, while developing skills in data analysis and strategic planning.

Analyze the complexities involved in planning missions to Mars, focusing on key challenges such as fuel management and radiation exposure, and the application of mathematical models. Gain an understanding of how different variables affect mission outcomes and learn the critical role of accurate mathematical modeling in space exploration.

Explore the concept of systems and system models, emphasizing their applications in science and engineering. Learners gain insights into how models enhance understanding, predict outcomes, and serve as crucial tools for engineering projects. The study focuses on developing a clear understanding of system behavior, components, and interactions, offering skills needed for effective model development and analysis. This exploration ensures an ability to apply these concepts in practical scenarios, facilitating improved project outcomes.

Examine the diverse reactions of Baghdad residents to contemporary events and the impact of technology on their responses. Gain insights into social dynamics and develop critical thinking skills about the role of media and technology in shaping public perception.

Explore continuous and discrete models through exponential sales growth, focusing on key differences and applications. Gain insights into mathematical modeling techniques, apply geometric progressions to real-world scenarios, and use logarithms to solve exponential equations effectively.

Investigate the dynamics of squirrel populations using mathematical models, focusing on factors such as competition and coexistence. Gain an understanding of how mathematical formalism assists in managing populations and predicting ecological outcomes.

Explore the significance of scale, proportion, and quantity in science and engineering through real-world examples. Gain an understanding of how scale is integral to model design and scientific comprehension, enhancing the ability to apply mathematical modeling to observed phenomena.

Explore the application of mathematical concepts, such as the Poisson and Hawkes processes, in predicting and analyzing crime. Gain insights into statistical strategies for crime prediction, understand the limitations of these models, and examine their practical applications in real-world scenarios.