Analysis of Transport Phenomena I: Mathematical Methods

Martin Bazant, MITx

Graduate-level introduction to mathematical modeling of diffusion, convection, and chemical reactions.

In this course, you will learn how to formulate models of reaction-convection-diffusion based on partial differential equations and to solve them the old-fashioned way, by pencil and paper. You will also learn the art of approximation—how to obtain useful solutions by simplifying a model without sacrificing the key physics.

At MIT, 10.50 is a required subject for all first-year graduate students in chemical engineering, but it also attracts students from other departments. This online course is suitable for anyone interested in learning the principles of continuum modeling. Although the examples are mostly from chemical engineering, no prior knowledge is assumed, beyond basic undergraduate applied mathematics.

The modeling concepts and mathematical methods you learn in this course will advance your career in industry or academics. While your friends and co-workers may be able to run an experiment or computer simulation, you will also be able to derive simple formulae to explain the data and guide rational design. There is growing demand for such mathematical skills in most technical careers and graduate programs today.

Attribution: By Kevin R Johnson, CC-BY-SA-3.0 (http://creativecommons.org/licenses/by-sa/3.0/), via Wikimedia Commons.

What will you learn

  • Models of diffusion, heat conduction, fluid flow
  • Exact and approximate solution of partial differential equations
  • Scaling, dimensional analysis, and similarity solutions
  • Perturbation methods, matched asymptotic expansions
  • Fourier series, eigenfunction expansions

Сессии:
  • 5 сентября 2018
Характеристики онлайн курса:
  • Бесплатный:
  • Платный:
  • Сертификат:
  • MOOC:
  • Видеолекции:
  • Аудиолекции:
  • Email-курс:
  • Язык: Английский Gb

Отзывы

Пока никто не написал отзыв по этому курсу. Хотите быть первым?

Зарегистрируйтесь, чтобы оставить отзыв

Ещё из рубрики «Математика и статистика»:
77bc8f62-8fbf-411f-9dc3-13069d00a506-6b508ff86e50.small Predictive Analytics
Master the tools of predictive analytics in this statistics based analytics...
8bdd5da6-35c5-43da-920e-0140ec37d4aa-4660e02e89b1.small AGRIMONITOR: Agricultural policy, food security and climate change
Learn the effects of agricultural policy in Latin America and the Caribbean...
8e6cfbbd-b68b-483a-9108-5d4658278dd5-df354bf0461d.small Macroeconomics for a Sustainable Planet
Is it possible to develop a thriving global economy in an equitable and environmentally...
Bb00d394-51a5-4f4b-b621-680f556f7140-b490dac0daab.small The Challenges of Global Poverty
A course for those who are interested in the challenge posed by massive and...
45c94798-fd5c-4a24-af5c-174c78b4914b-15bc9ea0f004.small Data Analysis for Social Scientists
Learn methods for harnessing and analyzing data to answer questions of cultural...
Ещё от edX:
8d384724-c109-45d4-9a92-7920d3f74ef5-9932dc2a5da6.small Introduction to Water and Climate
Water is a crucial element in climate and for society. Find out about the latest...
F93eb1c8-0d99-4fbf-b702-d0027307774c-618eacca3e85.small Introduction to Solid State Chemistry
Learn chemical principles by examining materials with examples from energy generation...
896f6184-731a-4dae-9e53-ef7a83e5606d-44cc3c494336.small Principles of Biochemistry
This introduction to biochemistry explores the molecules of life, starting at...
Bb18c710-2e6b-4138-9d0c-6be03be32c87-7d9562e5cf4a.small Mechanical Behavior of Materials, Part 1: Linear Elastic Behavior
Explore materials from the atomic to the continuum level, and apply your learning...
09532745-c837-467b-9078-093b8e1265a8-c10901e6fea8.small Supply Chain Analytics
Master and apply the core methodologies used in supply chain analysis and modeling...

© 2013-2017