Develop the thought processes involved in formulating a problem so a computer can effectively carry out the solution. In particular, this course emphasizes use of computers for modeling physical systems and predicting their behavior.

Computational thinking is becoming widely recognized as a skill necessary for every educated person in a technologically advanced society.We will focus on just a subset of computational thinking which concerns creating models of the physical world – something that engineers frequently need to do. Because of that choice, this course covers many topics normally viewed as within the domain of mathematics such as algebra and calculus, but the solution procedures are algorithmic rather than symbolic.

The major themes of the course are:

- Representation -- How do you encode information about the world in a computer? How do your choices in representation affect the ease with which you can solve problems?
- Decomposition -- How do you break a large and diverse problem into many simpler parts?
- Discretization -- How do you break up space and time into a large number of relatively small pieces? What are the alternative ways of doing this? What are the consequences of discretization procedures for accuracy and speed?
- Verification -- How do you build confidence in the results of a model?

By the end of this course, students will be able to:

- Select and implement methods for interpolation and understand their consequences for convergence of model results as discretization is refined.
- Carry out a few simple methods for numerical integration
- Implement procedures for numerical differentiation
- Write programs to solve systems of equations, both linear and non-linear

Dates:

- 26 February 2019

More on this topic:

Introduction to Systems Biology

An introduction to current concepts of how cellular molecules come together...

An introduction to current concepts of how cellular molecules come together...

Computing Foundations for Computational Science

Computation has long been an important tool for scientists, but the...

Computation has long been an important tool for scientists, but the...

6.00.2x: Introduction to Computational Thinking and Data Science

An introduction to using computation to understand real-world phenomena. About...

An introduction to using computation to understand real-world phenomena. About...

11.132x: Design and Development of Educational Technology

This project-based course explores educational technologies and the theories...

This project-based course explores educational technologies and the theories...

11.126x: Introduction to Game Design

A practical introduction to game design and game design concepts, emphasizing...

A practical introduction to game design and game design concepts, emphasizing...

More from 'Mathematics, Statistics and Data Analysis':

Big Data Analytics Using Spark

Learn how to analyze large datasets using Jupyter notebooks, MapReduce and Spark...

Learn how to analyze large datasets using Jupyter notebooks, MapReduce and Spark...

Programming Reactive Systems

Principles of Reactive Programming in Scala. Reactive programming is a set of...

Principles of Reactive Programming in Scala. Reactive programming is a set of...

Doing Journalism with Data: First Steps, Skills and Tools

This free 5-module online introductory course gives you the essential concepts...

This free 5-module online introductory course gives you the essential concepts...

Introduction to Probability - The Science of Uncertainty

An introduction to probabilistic models, including random processes and the...

An introduction to probabilistic models, including random processes and the...

Probability - The Science of Uncertainty and Data

Build foundational knowledge of data science with this introduction to probabilistic...

Build foundational knowledge of data science with this introduction to probabilistic...

More from 'edX':

Building a Cybersecurity Toolkit

Develop a set of skills and characteristics that expand beyond technical proficiency...

Develop a set of skills and characteristics that expand beyond technical proficiency...

Storytelling in the Workplace

Learn how to craft messages and narratives that will resonate with your target...

Learn how to craft messages and narratives that will resonate with your target...

Capstone Assessment: Leadership in Global Development

Demonstrate the knowledge and skills acquired in the Leadership in Global Development...

Demonstrate the knowledge and skills acquired in the Leadership in Global Development...

States and Markets in the Global Economy

Learn to predict financial crises, handle unfair trade practices and minimize...

Learn to predict financial crises, handle unfair trade practices and minimize...

Big Data Analytics Using Spark

Learn how to analyze large datasets using Jupyter notebooks, MapReduce and Spark...

Learn how to analyze large datasets using Jupyter notebooks, MapReduce and Spark...

© 2013-2017