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Continuum Mechanics I

4.00(4)

Continuum Mechanics I

  • Course level: Beginner

About Course

Continuum Mechanics can be thought of as the grand unifying theory of engineering science. Many of the courses taught in an engineering curriculum are closely related and can be obtained as special cases of the general framework of continuum mechanics.

Description

Continuum Mechanics can be thought of as the grand unifying theory of engineering science. Many of the courses taught in an engineering curriculum are closely related and can be obtained as special cases of the general framework of continuum mechanics. The balance laws of mass, momentum and energy that are derived in the context of specific material constitutions are natural laws that are natural laws and independent of these contexts. This fact is easily lost on most undergraduate and even some graduate students.

The language of Continuum Mechanics is called Tensor Analysis, you need Software to practice and engage more challenging problems; then Simulation will help you deploy the knowledge gained to design virtually in order to save prototyping costs. In this set of courses, we take you through all these stages to enrich your knowledge. The approach here is to optimize your time so to learn things the shortest way and remain focused on doing engineering with your knowledge.

Engineering is the application of Science to create technology products and services. It is rooted in theory. If you do not organize the learning of theory very well, you end up with full heads and no products as we have been doing. If you leave theory and simply do “practicals”, you end up with half-baked crafts trade – again, no serious products. We are offering you an approach to avoid both extremes and learn, in order to do engineering correctly.

What you will learn here will alter your view about some of the other courses you will take on your way to a degree in engineering. If you do your part, you will be given skills, tools and knowledge that are directed at making you productive people that can change the narrative of dependency and hopelessness that has been Africa’s story.

What Will I Learn?

  • Vector Analysis
  • Tensor Algebra
  • Tensor Calculus
  • Differentiation
  • Partial Differentiation
  • Line Integral
  • Surface Integral
  • Integral Theorems
  • Mathematica Programming
  • Fusion 360 Design

Topics for this course

19 Lessons

Vectors: Elementary Principles & Computations Practicum

Week Four: Basis Vectors Euclidean Point
Week Five: The Vector Space
Test Instructions MEG 805
Self Test Instructions

Tensor Algebra: Properties of a Tensor

Tensor Analysis: Differential and Integral Calculus with Tensors

Tensor Algebra: Properties of a Tensor (videos)

Student Feedback

4.0

Total 4 Ratings

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Continuum mechanics is the course for any serious engineering major. overcoming the initial challenges of learning the "in house" language and means of interaction is key, and TENSORS and their notations is the heart of the matter in this. With the kronecker delta and levi cevita permutation symbol being the "vowels" of the language.

The approach for acquiring skills and leaning is fantastic

weekly materials for the course comes in handy thereby making it easy for students to read ahead of next class

Good Userbility

Free

Material Includes

  • Continuum Mechanics for Modeling, Simulation & Design textbook by Prof. OA Fakinlede
  • Programming Clinics

Requirements

  • Fusion 360 installation
  • Mathematica 11 or higher

Target Audience

  • 3rd year undergraduates of Mechanical/Systems Engineering at the University of Lagos, Nigeria.