The rate of change of velocity with time is called acceleration. Most of the real time examples of motion are accelerated in variety of ways - despite the fact that the basic nature of the matter is to maintain its velocity in both direction and magnitude
This course covers the fundamental notions and results about algebraic varieties over an algebraically closed field. It also analyzes the relations between complex algebraic varieties and complex analytic varieties.
Artificial satellites are the backbone of modern communication systems.
Students will create a model of an object of their choice, giving them skills and practice in techniques used by professionals. The students will use sketches as they build their objects. This activity will facilitate a discussion on models and their usefulness.
Have you ever wondered why it takes such a long period of time for NASA to build space exploration equipment? What is involved in manufacturing and building a rover for the Red Planet? During this lesson, students will discover the journey that a Mars rover embarks upon after being designed by engineers and before being prepared for launch. Students will investigate the fabrication techniques, tolerance concepts, assembly and field-testing associated with a Mars exploratory rover.
Motion is vital to life, and to science. This unit will help you to understand why classical motion is probably the most fundamental part of physics. You will examine motion along a line and the ways in which such motion can be represented, through the use of graphs, equations and differential calculus.
Seven basic quantities are the seven dimensions of physical quantities.
Students act as Mars exploratory rover engineers. They evaluate rover equipment options and determine what parts fit in a provided NASA budget. With a given parts list, teams use these constraints to design for their rover. The students build and display their edible rover at a concluding design review.
This is a communication intensive supplement to Linear Algebra (18.06). The main emphasis is on the methods of creating rigorous and elegant proofs and presenting them clearly in writing.
This activity helps the students see how the volume of something includes the third dimension (width or depth) which is different from area. This activity also helps the students "prove" that the volume formula actually works. Students will already know that the volume of a rectangular prism is found by multiplying the object's length, width, and height. By using the blocks as models of volume, the students should come to realize that volume can be calculated simply by multiplying the area of the base by the height of the rectangular prism. Thus, they will come to realize that there is no need to try and fill the entire box with the tiny 1cm cubes, they can simply fill the bottom (to see how many cubes are there) and figure out how many rows there will be and multiply.
The purpose of this lesson is to teach students about the three dimensional Cartesian coordinate system. It is important for structural engineers to be confident graphing in 3D in order to be able to describe locations in space to fellow engineers.
The students will use a "real" 3D coordinate system. They will have 3 axes at right angles, and a plane (the XY plane) that will be able to slide up and down the Z axis. The students will then be given several coordinates and asked to find these points in space. They will also be asked to find the coordinates of the 8 corners of a box with given dimensions.
NBC's Lester Holt explores the prolate spheroid, the three-dimensional shape of a football, and how it helps an NFL quarterback throw a hard, accurate pass. "Science of NFL Football" is a 10-part video series funded by the National Science Foundation and produced in partnership with the National Football League.
This module defines subspaces, span, linear independence, bases and dimension.
This module introduces real and complex vector spaces, with examples. Notions of linear independence, linear span, basis, dimension, subspaces, and direct sums are covered.
