Three dimensional spaces - calculus, Mathematics

Assignment Help:

Three Dimensional Spaces

In this section we will start taking a much more detailed look at 3-D space or R3).  This is a major topic for mathematics as a good portion of Calculus III is completed in three (or higher) dimensional space.

We will be looking at the equations of graphs in 3-D (3 dimensional) space also vector valued functions and how we do calculus along with them.  We will as well be taking a look at a couple of new coordinate systems for 3-D space. 

 This is the only section that exists in two places in my notes. 

Here is a listing of topics in this section.

a. The 3-D Coordinate System

b. Equations of Lines

c. Equations of Planes 

d. Quadric Surfaces

e. Functions of Several Variables

f. Vector Functions

g. Calculus with Vector Functions

h. Tangent, Normal and Binormal Vectors

i .Arc Length with Vector Functions


Related Discussions:- Three dimensional spaces - calculus

Find the coordinates of c , Plot the points A(2,0) and B (6,0) on a graph p...

Plot the points A(2,0) and B (6,0) on a graph paper. Complete an equilateral triangle ABC such that the ordinate of C be a positive real number .Find the coordinates of C   (Ans: (

Word problem, On a canoe trip. a person paddled upstream against the curren...

On a canoe trip. a person paddled upstream against the current ata an average of 2mi/h. the return trip with the current at 3mi/h. Need to find the paddling spped in still water an

Example for introducing counting, Four-year-old Mariamma was reciting numbe...

Four-year-old Mariamma was reciting number names - some of them in order, and others randomly. The child's aunt, sitting nearby, asked her, "Can you write 'two'?" She said she coul

How to join as maths expert, Sir, With due respect,I, beg to state that I ...

Sir, With due respect,I, beg to state that I want to join as a maths expert and earn some money. I would be grateful to you if you guide me in this regard.

Find and classify the differential equation, Find and classify the equilibr...

Find and classify the equilibrium solutions of the subsequent differential equation. y' = y 2 - y - 6 Solution The equilibrium solutions are to such differential equati

Amy purchased 6 books how much did the books cost altogether, Amy purchased...

Amy purchased 6 books at $4.79 each. How much did the books cost altogether? Multiply 6 by $4.79; 6 × $4.79 = $28.74.

Interpretation, Interpretation A high value of r as +0.9 or - 0...

Interpretation A high value of r as +0.9 or - 0.9 only shows a strong association among the two variables but doesn't imply that there is a causal relationship that is

prove that x = 2h/3, A vertical post stands on a horizontal plane.  The an...

A vertical post stands on a horizontal plane.  The angle of elevation of the top is 60 o and that of a point x metre be the height of the post, then prove that x = 2 h/3 .

Algorithm for division, ALGORITHM FOR DIVISION : If you ask a 10 or 1 1-ye...

ALGORITHM FOR DIVISION : If you ask a 10 or 1 1-year-old child to solve, say, 81 + 9, the chances are that she will correctly do it. But if you ask her to solve, say 72 + 3, t

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd