Continuum Mechanics I
Continuum Mechanics I
About CourseContinuum 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.
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
- Partial Differentiation
- Line Integral
- Surface Integral
- Integral Theorems
- Mathematica Programming
- Fusion 360 Design
Topics for this course
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
Week Seven: Properties of Tensors I
Week Eight:Properties of Tensors II
Week Nine: The Eigenvalue Question
Tensor Analysis: Differential and Integral Calculus with Tensors
Week Eleven: Tensor Analysis II
Week Twelve: Tensor Analysis III
Tensor Algebra: Properties of a Tensor (videos)
Week Six: Tensor: A Linear Transformation31:59
Week Seven: Properties of Tensors I23:41
Week Eight: Properties of Tensors II00:30:44
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